---
_id: '10731'
abstract:
- lang: eng
text: Motivated by COVID-19, we develop and analyze a simple stochastic model for
the spread of disease in human population. We track how the number of infected
and critically ill people develops over time in order to estimate the demand that
is imposed on the hospital system. To keep this demand under control, we consider
a class of simple policies for slowing down and reopening society and we compare
their efficiency in mitigating the spread of the virus from several different
points of view. We find that in order to avoid overwhelming of the hospital system,
a policy must impose a harsh lockdown or it must react swiftly (or both). While
reacting swiftly is universally beneficial, being harsh pays off only when the
country is patient about reopening and when the neighboring countries coordinate
their mitigation efforts. Our work highlights the importance of acting decisively
when closing down and the importance of patience and coordination between neighboring
countries when reopening.
acknowledgement: 'K.C. acknowledges support from ERC Consolidator Grant No. (863818:
ForM-SMart). A.P. acknowledges support from FWF Grant No. J-4220. M.A.N. acknowledges
support from Office of Naval Research grant N00014-16-1-2914 and from the John Templeton
Foundation.'
article_number: '1526'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Jakub
full_name: Svoboda, Jakub
id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
last_name: Svoboda
orcid: 0000-0002-1419-3267
- first_name: Josef
full_name: Tkadlec, Josef
last_name: Tkadlec
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin A.
full_name: Nowak, Martin A.
last_name: Nowak
citation:
ama: Svoboda J, Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Infection dynamics
of COVID-19 virus under lockdown and reopening. Scientific Reports. 2022;12(1).
doi:10.1038/s41598-022-05333-5
apa: Svoboda, J., Tkadlec, J., Pavlogiannis, A., Chatterjee, K., & Nowak, M.
A. (2022). Infection dynamics of COVID-19 virus under lockdown and reopening.
Scientific Reports. Springer Nature. https://doi.org/10.1038/s41598-022-05333-5
chicago: Svoboda, Jakub, Josef Tkadlec, Andreas Pavlogiannis, Krishnendu Chatterjee,
and Martin A. Nowak. “Infection Dynamics of COVID-19 Virus under Lockdown and
Reopening.” Scientific Reports. Springer Nature, 2022. https://doi.org/10.1038/s41598-022-05333-5.
ieee: J. Svoboda, J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Infection
dynamics of COVID-19 virus under lockdown and reopening,” Scientific Reports,
vol. 12, no. 1. Springer Nature, 2022.
ista: Svoboda J, Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2022. Infection
dynamics of COVID-19 virus under lockdown and reopening. Scientific Reports. 12(1),
1526.
mla: Svoboda, Jakub, et al. “Infection Dynamics of COVID-19 Virus under Lockdown
and Reopening.” Scientific Reports, vol. 12, no. 1, 1526, Springer Nature,
2022, doi:10.1038/s41598-022-05333-5.
short: J. Svoboda, J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Scientific
Reports 12 (2022).
date_created: 2022-02-06T23:01:30Z
date_published: 2022-01-27T00:00:00Z
date_updated: 2025-07-14T09:10:12Z
day: '27'
ddc:
- '570'
department:
- _id: KrCh
doi: 10.1038/s41598-022-05333-5
ec_funded: 1
external_id:
arxiv:
- '2012.15155'
isi:
- '000749198000039'
file:
- access_level: open_access
checksum: 247afd30c173390940f099ead35a28ed
content_type: application/pdf
creator: alisjak
date_created: 2022-02-07T14:57:59Z
date_updated: 2022-02-07T14:57:59Z
file_id: '10744'
file_name: 2022_ScientificReports_Svoboda.pdf
file_size: 2971922
relation: main_file
success: 1
file_date_updated: 2022-02-07T14:57:59Z
has_accepted_license: '1'
intvolume: ' 12'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Scientific Reports
publication_identifier:
eissn:
- 2045-2322
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Infection dynamics of COVID-19 virus under lockdown and reopening
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 12
year: '2022'
...
---
_id: '12257'
abstract:
- lang: eng
text: Structural balance theory is an established framework for studying social
relationships of friendship and enmity. These relationships are modeled by a signed
network whose energy potential measures the level of imbalance, while stochastic
dynamics drives the network toward a state of minimum energy that captures social
balance. It is known that this energy landscape has local minima that can trap
socially aware dynamics, preventing it from reaching balance. Here we first study
the robustness and attractor properties of these local minima. We show that a
stochastic process can reach them from an abundance of initial states and that
some local minima cannot be escaped by mild perturbations of the network. Motivated
by these anomalies, we introduce best-edge dynamics (BED), a new plausible stochastic
process. We prove that BED always reaches balance and that it does so fast in
various interesting settings.
acknowledgement: "K.C. acknowledges support from ERC Start Grant No. (279307: Graph
Games), ERC Consolidator Grant No. (863818: ForM-SMart), and Austrian Science Fund
(FWF)\r\nGrants No. P23499-N23 and No. S11407-N23 (RiSE). This project has received
funding from the European Union’s Horizon 2020 research and innovation programme
under the Marie\r\nSkłodowska-Curie Grant Agreement No. 665385."
article_number: '034321'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Jakub
full_name: Svoboda, Jakub
id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
last_name: Svoboda
orcid: 0000-0002-1419-3267
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
citation:
ama: 'Chatterjee K, Svoboda J, Zikelic D, Pavlogiannis A, Tkadlec J. Social balance
on networks: Local minima and best-edge dynamics. Physical Review E. 2022;106(3).
doi:10.1103/physreve.106.034321'
apa: 'Chatterjee, K., Svoboda, J., Zikelic, D., Pavlogiannis, A., & Tkadlec,
J. (2022). Social balance on networks: Local minima and best-edge dynamics. Physical
Review E. American Physical Society. https://doi.org/10.1103/physreve.106.034321'
chicago: 'Chatterjee, Krishnendu, Jakub Svoboda, Dorde Zikelic, Andreas Pavlogiannis,
and Josef Tkadlec. “Social Balance on Networks: Local Minima and Best-Edge Dynamics.”
Physical Review E. American Physical Society, 2022. https://doi.org/10.1103/physreve.106.034321.'
ieee: 'K. Chatterjee, J. Svoboda, D. Zikelic, A. Pavlogiannis, and J. Tkadlec, “Social
balance on networks: Local minima and best-edge dynamics,” Physical Review
E, vol. 106, no. 3. American Physical Society, 2022.'
ista: 'Chatterjee K, Svoboda J, Zikelic D, Pavlogiannis A, Tkadlec J. 2022. Social
balance on networks: Local minima and best-edge dynamics. Physical Review E. 106(3),
034321.'
mla: 'Chatterjee, Krishnendu, et al. “Social Balance on Networks: Local Minima and
Best-Edge Dynamics.” Physical Review E, vol. 106, no. 3, 034321, American
Physical Society, 2022, doi:10.1103/physreve.106.034321.'
short: K. Chatterjee, J. Svoboda, D. Zikelic, A. Pavlogiannis, J. Tkadlec, Physical
Review E 106 (2022).
date_created: 2023-01-16T09:57:57Z
date_published: 2022-09-29T00:00:00Z
date_updated: 2025-07-14T09:09:49Z
day: '29'
department:
- _id: KrCh
doi: 10.1103/physreve.106.034321
ec_funded: 1
external_id:
arxiv:
- '2210.02394'
isi:
- '000870243100001'
intvolume: ' 106'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2210.02394
month: '09'
oa: 1
oa_version: Preprint
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: Physical Review E
publication_identifier:
eissn:
- 2470-0053
issn:
- 2470-0045
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Social balance on networks: Local minima and best-edge dynamics'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 106
year: '2022'
...
---
_id: '9393'
abstract:
- lang: eng
text: "We consider the core algorithmic problems related to verification of systems
with respect to three classical quantitative properties, namely, the mean-payoff,
the ratio, and the minimum initial credit for energy property. The algorithmic
problem given a graph and a quantitative property asks to compute the optimal
value (the infimum value over all traces) from every node of the graph. We consider
graphs with bounded treewidth—a class that contains the control flow graphs of
most programs. Let n denote the number of nodes of a graph, m the number of edges
(for bounded treewidth \U0001D45A=\U0001D442(\U0001D45B)) and W the largest absolute
value of the weights. Our main theoretical results are as follows. First, for
the minimum initial credit problem we show that (1) for general graphs the problem
can be solved in \U0001D442(\U0001D45B2⋅\U0001D45A) time and the associated decision
problem in \U0001D442(\U0001D45B⋅\U0001D45A) time, improving the previous known
\U0001D442(\U0001D45B3⋅\U0001D45A⋅log(\U0001D45B⋅\U0001D44A)) and \U0001D442(\U0001D45B2⋅\U0001D45A)
bounds, respectively; and (2) for bounded treewidth graphs we present an algorithm
that requires \U0001D442(\U0001D45B⋅log\U0001D45B) time. Second, for bounded treewidth
graphs we present an algorithm that approximates the mean-payoff value within
a factor of 1+\U0001D716 in time \U0001D442(\U0001D45B⋅log(\U0001D45B/\U0001D716))
as compared to the classical exact algorithms on general graphs that require quadratic
time. Third, for the ratio property we present an algorithm that for bounded treewidth
graphs works in time \U0001D442(\U0001D45B⋅log(|\U0001D44E⋅\U0001D44F|))=\U0001D442(\U0001D45B⋅log(\U0001D45B⋅\U0001D44A)),
when the output is \U0001D44E\U0001D44F, as compared to the previously best known
algorithm on general graphs with running time \U0001D442(\U0001D45B2⋅log(\U0001D45B⋅\U0001D44A)).
We have implemented some of our algorithms and show that they present a significant
speedup on standard benchmarks."
acknowledgement: 'The research was partly supported by Austrian Science Fund (FWF)
Grant No P23499- N23, FWF NFN Grant No S11407-N23 (RiSE/SHiNE), ERC Start Grant
(279307: Graph Games), and Microsoft faculty fellows award.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. Faster algorithms for quantitative
verification in bounded treewidth graphs. Formal Methods in System Design.
2021;57:401-428. doi:10.1007/s10703-021-00373-5
apa: Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2021). Faster algorithms
for quantitative verification in bounded treewidth graphs. Formal Methods in
System Design. Springer. https://doi.org/10.1007/s10703-021-00373-5
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
“Faster Algorithms for Quantitative Verification in Bounded Treewidth Graphs.”
Formal Methods in System Design. Springer, 2021. https://doi.org/10.1007/s10703-021-00373-5.
ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, “Faster algorithms for
quantitative verification in bounded treewidth graphs,” Formal Methods in System
Design, vol. 57. Springer, pp. 401–428, 2021.
ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2021. Faster algorithms for
quantitative verification in bounded treewidth graphs. Formal Methods in System
Design. 57, 401–428.
mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Quantitative Verification
in Bounded Treewidth Graphs.” Formal Methods in System Design, vol. 57,
Springer, 2021, pp. 401–28, doi:10.1007/s10703-021-00373-5.
short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Formal Methods in System
Design 57 (2021) 401–428.
date_created: 2021-05-16T22:01:47Z
date_published: 2021-09-01T00:00:00Z
date_updated: 2023-10-10T11:13:20Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/s10703-021-00373-5
ec_funded: 1
external_id:
arxiv:
- '1504.07384'
isi:
- '000645490300001'
intvolume: ' 57'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1504.07384
month: '09'
oa: 1
oa_version: Preprint
page: 401-428
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: Formal Methods in System Design
publication_identifier:
eissn:
- 1572-8102
issn:
- 0925-9856
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster algorithms for quantitative verification in bounded treewidth graphs
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 57
year: '2021'
...
---
_id: '9640'
abstract:
- lang: eng
text: 'Selection and random drift determine the probability that novel mutations
fixate in a population. Population structure is known to affect the dynamics of
the evolutionary process. Amplifiers of selection are population structures that
increase the fixation probability of beneficial mutants compared to well-mixed
populations. Over the past 15 years, extensive research has produced remarkable
structures called strong amplifiers which guarantee that every beneficial mutation
fixates with high probability. But strong amplification has come at the cost of
considerably delaying the fixation event, which can slow down the overall rate
of evolution. However, the precise relationship between fixation probability and
time has remained elusive. Here we characterize the slowdown effect of strong
amplification. First, we prove that all strong amplifiers must delay the fixation
event at least to some extent. Second, we construct strong amplifiers that delay
the fixation event only marginally as compared to the well-mixed populations.
Our results thus establish a tight relationship between fixation probability and
time: Strong amplification always comes at a cost of a slowdown, but more than
a marginal slowdown is not needed.'
acknowledgement: 'K.C. acknowledges support from ERC Start grant no. (279307: Graph
Games), ERC Consolidator grant no. (863818: ForM-SMart), Austrian Science Fund (FWF)
grant no. P23499-N23 and S11407-N23 (RiSE). M.A.N. acknowledges support from Office
of Naval Research grant N00014-16-1-2914 and from the John Templeton Foundation.'
article_number: '4009'
article_processing_charge: No
article_type: original
author:
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin A.
full_name: Nowak, Martin A.
last_name: Nowak
citation:
ama: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Fast and strong amplifiers
of natural selection. Nature Communications. 2021;12(1). doi:10.1038/s41467-021-24271-w
apa: Tkadlec, J., Pavlogiannis, A., Chatterjee, K., & Nowak, M. A. (2021). Fast
and strong amplifiers of natural selection. Nature Communications. Springer
Nature. https://doi.org/10.1038/s41467-021-24271-w
chicago: Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin
A. Nowak. “Fast and Strong Amplifiers of Natural Selection.” Nature Communications.
Springer Nature, 2021. https://doi.org/10.1038/s41467-021-24271-w.
ieee: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Fast and strong
amplifiers of natural selection,” Nature Communications, vol. 12, no. 1.
Springer Nature, 2021.
ista: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2021. Fast and strong amplifiers
of natural selection. Nature Communications. 12(1), 4009.
mla: Tkadlec, Josef, et al. “Fast and Strong Amplifiers of Natural Selection.” Nature
Communications, vol. 12, no. 1, 4009, Springer Nature, 2021, doi:10.1038/s41467-021-24271-w.
short: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Nature Communications
12 (2021).
date_created: 2021-07-11T22:01:15Z
date_published: 2021-06-29T00:00:00Z
date_updated: 2025-07-14T09:10:05Z
day: '29'
ddc:
- '510'
department:
- _id: KrCh
doi: 10.1038/s41467-021-24271-w
ec_funded: 1
external_id:
isi:
- '000671752100003'
pmid:
- '34188036'
file:
- access_level: open_access
checksum: 5767418926a7f7fb76151de29473dae0
content_type: application/pdf
creator: cziletti
date_created: 2021-07-19T13:02:20Z
date_updated: 2021-07-19T13:02:20Z
file_id: '9692'
file_name: 2021_NatCoom_Tkadlec.pdf
file_size: 628992
relation: main_file
success: 1
file_date_updated: 2021-07-19T13:02:20Z
has_accepted_license: '1'
intvolume: ' 12'
isi: 1
issue: '1'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication: Nature Communications
publication_identifier:
eissn:
- '20411723'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fast and strong amplifiers of natural selection
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 12
year: '2021'
...
---
_id: '10191'
abstract:
- lang: eng
text: "In this work we solve the algorithmic problem of consistency verification
for the TSO and PSO memory models given a reads-from map, denoted VTSO-rf and
VPSO-rf, respectively. For an execution of n events over k threads and d variables,
we establish novel bounds that scale as nk+1 for TSO and as nk+1· min(nk2, 2k·
d) for PSO. Moreover, based on our solution to these problems, we develop an SMC
algorithm under TSO and PSO that uses the RF equivalence. The algorithm is exploration-optimal,
in the sense that it is guaranteed to explore each class of the RF partitioning
exactly once, and spends polynomial time per class when k is bounded. Finally,
we implement all our algorithms in the SMC tool Nidhugg, and perform a large number
of experiments over benchmarks from existing literature. Our experimental results
show that our algorithms for VTSO-rf and VPSO-rf provide significant scalability
improvements over standard alternatives. Moreover, when used for SMC, the RF partitioning
is often much coarser than the standard Shasha-Snir partitioning for TSO/PSO,
which yields a significant speedup in the model checking task.\r\n\r\n"
acknowledgement: "The research was partially funded by the ERC CoG 863818 (ForM-SMArt)
and the Vienna Science\r\nand Technology Fund (WWTF) through project ICT15-003."
article_number: '164'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Truc Lam
full_name: Bui, Truc Lam
last_name: Bui
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Tushar
full_name: Gautam, Tushar
last_name: Gautam
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Viktor
full_name: Toman, Viktor
id: 3AF3DA7C-F248-11E8-B48F-1D18A9856A87
last_name: Toman
orcid: 0000-0001-9036-063X
citation:
ama: Bui TL, Chatterjee K, Gautam T, Pavlogiannis A, Toman V. The reads-from equivalence
for the TSO and PSO memory models. Proceedings of the ACM on Programming Languages.
2021;5(OOPSLA). doi:10.1145/3485541
apa: Bui, T. L., Chatterjee, K., Gautam, T., Pavlogiannis, A., & Toman, V. (2021).
The reads-from equivalence for the TSO and PSO memory models. Proceedings of
the ACM on Programming Languages. Association for Computing Machinery. https://doi.org/10.1145/3485541
chicago: Bui, Truc Lam, Krishnendu Chatterjee, Tushar Gautam, Andreas Pavlogiannis,
and Viktor Toman. “The Reads-from Equivalence for the TSO and PSO Memory Models.”
Proceedings of the ACM on Programming Languages. Association for Computing
Machinery, 2021. https://doi.org/10.1145/3485541.
ieee: T. L. Bui, K. Chatterjee, T. Gautam, A. Pavlogiannis, and V. Toman, “The reads-from
equivalence for the TSO and PSO memory models,” Proceedings of the ACM on Programming
Languages, vol. 5, no. OOPSLA. Association for Computing Machinery, 2021.
ista: Bui TL, Chatterjee K, Gautam T, Pavlogiannis A, Toman V. 2021. The reads-from
equivalence for the TSO and PSO memory models. Proceedings of the ACM on Programming
Languages. 5(OOPSLA), 164.
mla: Bui, Truc Lam, et al. “The Reads-from Equivalence for the TSO and PSO Memory
Models.” Proceedings of the ACM on Programming Languages, vol. 5, no. OOPSLA,
164, Association for Computing Machinery, 2021, doi:10.1145/3485541.
short: T.L. Bui, K. Chatterjee, T. Gautam, A. Pavlogiannis, V. Toman, Proceedings
of the ACM on Programming Languages 5 (2021).
date_created: 2021-10-27T15:05:34Z
date_published: 2021-10-15T00:00:00Z
date_updated: 2025-07-14T09:10:16Z
day: '15'
ddc:
- '000'
department:
- _id: GradSch
- _id: KrCh
doi: 10.1145/3485541
ec_funded: 1
external_id:
arxiv:
- '2011.11763'
file:
- access_level: open_access
checksum: 9d6dce7b611853c529bb7b1915ac579e
content_type: application/pdf
creator: cchlebak
date_created: 2021-11-04T07:24:48Z
date_updated: 2021-11-04T07:24:48Z
file_id: '10215'
file_name: 2021_ProcACMPL_Bui.pdf
file_size: 2903485
relation: main_file
success: 1
file_date_updated: 2021-11-04T07:24:48Z
has_accepted_license: '1'
intvolume: ' 5'
issue: OOPSLA
keyword:
- safety
- risk
- reliability and quality
- software
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
publication: Proceedings of the ACM on Programming Languages
publication_identifier:
eissn:
- 2475-1421
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
record:
- id: '10199'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: The reads-from equivalence for the TSO and PSO memory models
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 5
year: '2021'
...
---
_id: '10629'
abstract:
- lang: eng
text: "Product graphs arise naturally in formal verification and program analysis.
For example, the analysis of two concurrent threads requires the product of two
component control-flow graphs, and for language inclusion of deterministic automata
the product of two automata is constructed. In many cases, the component graphs
have constant treewidth, e.g., when the input contains control-flow graphs of
programs. We consider the algorithmic analysis of products of two constant-treewidth
graphs with respect to three classic specification languages, namely, (a) algebraic
properties, (b) mean-payoff properties, and (c) initial credit for energy properties.\r\nOur
main contributions are as follows. Consider a graph G that is the product of two
constant-treewidth graphs of size n each. First, given an idempotent semiring,
we present an algorithm that computes the semiring transitive closure of G in
time Õ(n⁴). Since the output has size Θ(n⁴), our algorithm is optimal (up to
polylog factors). Second, given a mean-payoff objective, we present an O(n³)-time
algorithm for deciding whether the value of a starting state is non-negative,
improving the previously known O(n⁴) bound. Third, given an initial credit for
energy objective, we present an O(n⁵)-time algorithm for computing the minimum
initial credit for all nodes of G, improving the previously known O(n⁸) bound.
At the heart of our approach lies an algorithm for the efficient construction
of strongly-balanced tree decompositions of constant-treewidth graphs. Given a
constant-treewidth graph G' of n nodes and a positive integer λ, our algorithm
constructs a binary tree decomposition of G' of width O(λ) with the property that
the size of each subtree decreases geometrically with rate (1/2 + 2^{-λ})."
alternative_title:
- LIPIcs
article_number: '42'
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: 'Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. Quantitative verification on
product graphs of small treewidth. In: 41st IARCS Annual Conference on Foundations
of Software Technology and Theoretical Computer Science. Vol 213. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.FSTTCS.2021.42'
apa: 'Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2021). Quantitative
verification on product graphs of small treewidth. In 41st IARCS Annual Conference
on Foundations of Software Technology and Theoretical Computer Science (Vol.
213). Virtual: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.FSTTCS.2021.42'
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
“Quantitative Verification on Product Graphs of Small Treewidth.” In 41st IARCS
Annual Conference on Foundations of Software Technology and Theoretical Computer
Science, Vol. 213. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021.
https://doi.org/10.4230/LIPIcs.FSTTCS.2021.42.
ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, “Quantitative verification
on product graphs of small treewidth,” in 41st IARCS Annual Conference on Foundations
of Software Technology and Theoretical Computer Science, Virtual, 2021, vol.
213.
ista: 'Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2021. Quantitative verification
on product graphs of small treewidth. 41st IARCS Annual Conference on Foundations
of Software Technology and Theoretical Computer Science. FSTTCS: Foundations of
Software Technology and Theoretical Computer Science, LIPIcs, vol. 213, 42.'
mla: Chatterjee, Krishnendu, et al. “Quantitative Verification on Product Graphs
of Small Treewidth.” 41st IARCS Annual Conference on Foundations of Software
Technology and Theoretical Computer Science, vol. 213, 42, Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.FSTTCS.2021.42.
short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, in:, 41st IARCS Annual Conference
on Foundations of Software Technology and Theoretical Computer Science, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2021.
conference:
end_date: 2021-12-17
location: Virtual
name: 'FSTTCS: Foundations of Software Technology and Theoretical Computer Science'
start_date: 2021-12-15
date_created: 2022-01-16T23:01:28Z
date_published: 2021-11-29T00:00:00Z
date_updated: 2022-01-17T10:39:40Z
day: '29'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.FSTTCS.2021.42
file:
- access_level: open_access
checksum: 71141acdeffa9056f24d6dbef952d254
content_type: application/pdf
creator: cchlebak
date_created: 2022-01-17T10:36:08Z
date_updated: 2022-01-17T10:36:08Z
file_id: '10633'
file_name: 2021_LIPIcs_Chatterjee.pdf
file_size: 891566
relation: main_file
success: 1
file_date_updated: 2022-01-17T10:36:08Z
has_accepted_license: '1'
intvolume: ' 213'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
publication: 41st IARCS Annual Conference on Foundations of Software Technology and
Theoretical Computer Science
publication_identifier:
isbn:
- 978-3-9597-7215-0
issn:
- 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantitative verification on product graphs of small treewidth
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 213
year: '2021'
...
---
_id: '9987'
abstract:
- lang: eng
text: 'Stateless model checking (SMC) is one of the standard approaches to the verification
of concurrent programs. As scheduling non-determinism creates exponentially large
spaces of thread interleavings, SMC attempts to partition this space into equivalence
classes and explore only a few representatives from each class. The efficiency
of this approach depends on two factors: (a) the coarseness of the partitioning,
and (b) the time to generate representatives in each class. For this reason, the
search for coarse partitionings that are efficiently explorable is an active research
challenge. In this work we present RVF-SMC , a new SMC algorithm that uses a
novel reads-value-from (RVF) partitioning. Intuitively, two interleavings are
deemed equivalent if they agree on the value obtained in each read event, and
read events induce consistent causal orderings between them. The RVF partitioning
is provably coarser than recent approaches based on Mazurkiewicz and “reads-from”
partitionings. Our experimental evaluation reveals that RVF is quite often a very
effective equivalence, as the underlying partitioning is exponentially coarser
than other approaches. Moreover, RVF-SMC generates representatives very efficiently,
as the reduction in the partitioning is often met with significant speed-ups in
the model checking task.'
acknowledgement: The research was partially funded by the ERC CoG 863818 (ForM-SMArt)
and the Vienna Science and Technology Fund (WWTF) through project ICT15-003.
alternative_title:
- LNCS
article_processing_charge: Yes
arxiv: 1
author:
- first_name: Pratyush
full_name: Agarwal, Pratyush
last_name: Agarwal
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Shreya
full_name: Pathak, Shreya
last_name: Pathak
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Viktor
full_name: Toman, Viktor
id: 3AF3DA7C-F248-11E8-B48F-1D18A9856A87
last_name: Toman
orcid: 0000-0001-9036-063X
citation:
ama: 'Agarwal P, Chatterjee K, Pathak S, Pavlogiannis A, Toman V. Stateless model
checking under a reads-value-from equivalence. In: 33rd International Conference
on Computer-Aided Verification . Vol 12759. Springer Nature; 2021:341-366.
doi:10.1007/978-3-030-81685-8_16'
apa: 'Agarwal, P., Chatterjee, K., Pathak, S., Pavlogiannis, A., & Toman, V.
(2021). Stateless model checking under a reads-value-from equivalence. In 33rd
International Conference on Computer-Aided Verification (Vol. 12759, pp.
341–366). Virtual: Springer Nature. https://doi.org/10.1007/978-3-030-81685-8_16'
chicago: Agarwal, Pratyush, Krishnendu Chatterjee, Shreya Pathak, Andreas Pavlogiannis,
and Viktor Toman. “Stateless Model Checking under a Reads-Value-from Equivalence.”
In 33rd International Conference on Computer-Aided Verification , 12759:341–66.
Springer Nature, 2021. https://doi.org/10.1007/978-3-030-81685-8_16.
ieee: P. Agarwal, K. Chatterjee, S. Pathak, A. Pavlogiannis, and V. Toman, “Stateless
model checking under a reads-value-from equivalence,” in 33rd International
Conference on Computer-Aided Verification , Virtual, 2021, vol. 12759, pp.
341–366.
ista: 'Agarwal P, Chatterjee K, Pathak S, Pavlogiannis A, Toman V. 2021. Stateless
model checking under a reads-value-from equivalence. 33rd International Conference
on Computer-Aided Verification . CAV: Computer Aided Verification , LNCS, vol.
12759, 341–366.'
mla: Agarwal, Pratyush, et al. “Stateless Model Checking under a Reads-Value-from
Equivalence.” 33rd International Conference on Computer-Aided Verification
, vol. 12759, Springer Nature, 2021, pp. 341–66, doi:10.1007/978-3-030-81685-8_16.
short: P. Agarwal, K. Chatterjee, S. Pathak, A. Pavlogiannis, V. Toman, in:, 33rd
International Conference on Computer-Aided Verification , Springer Nature, 2021,
pp. 341–366.
conference:
end_date: 2021-07-23
location: Virtual
name: 'CAV: Computer Aided Verification '
start_date: 2021-07-20
date_created: 2021-09-05T22:01:24Z
date_published: 2021-07-15T00:00:00Z
date_updated: 2025-07-14T09:10:15Z
day: '15'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-030-81685-8_16
ec_funded: 1
external_id:
arxiv:
- '2105.06424'
isi:
- '000698732400016'
file:
- access_level: open_access
checksum: 4b346e5fbaa8b9bdf107819c7b2aadee
content_type: application/pdf
creator: dernst
date_created: 2022-05-13T07:00:20Z
date_updated: 2022-05-13T07:00:20Z
file_id: '11368'
file_name: 2021_LNCS_Agarwal.pdf
file_size: 1516756
relation: main_file
success: 1
file_date_updated: 2022-05-13T07:00:20Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 341-366
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: '33rd International Conference on Computer-Aided Verification '
publication_identifier:
eisbn:
- 978-3-030-81685-8
eissn:
- 1611-3349
isbn:
- 978-3-030-81684-1
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
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scopus_import: '1'
status: public
title: Stateless model checking under a reads-value-from equivalence
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: '12759 '
year: '2021'
...
---
_id: '7810'
abstract:
- lang: eng
text: "Interprocedural data-flow analyses form an expressive and useful paradigm
of numerous static analysis applications, such as live variables analysis, alias
analysis and null pointers analysis. The most widely-used framework for interprocedural
data-flow analysis is IFDS, which encompasses distributive data-flow functions
over a finite domain. On-demand data-flow analyses restrict the focus of the analysis
on specific program locations and data facts. This setting provides a natural
split between (i) an offline (or preprocessing) phase, where the program is partially
analyzed and analysis summaries are created, and (ii) an online (or query) phase,
where analysis queries arrive on demand and the summaries are used to speed up
answering queries.\r\nIn this work, we consider on-demand IFDS analyses where
the queries concern program locations of the same procedure (aka same-context
queries). We exploit the fact that flow graphs of programs have low treewidth
to develop faster algorithms that are space and time optimal for many common data-flow
analyses, in both the preprocessing and the query phase. We also use treewidth
to develop query solutions that are embarrassingly parallelizable, i.e. the total
work for answering each query is split to a number of threads such that each thread
performs only a constant amount of work. Finally, we implement a static analyzer
based on our algorithms, and perform a series of on-demand analysis experiments
on standard benchmarks. Our experimental results show a drastic speed-up of the
queries after only a lightweight preprocessing phase, which significantly outperforms
existing techniques."
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Pavlogiannis A. Optimal and perfectly
parallel algorithms for on-demand data-flow analysis. In: European Symposium
on Programming. Vol 12075. Springer Nature; 2020:112-140. doi:10.1007/978-3-030-44914-8_5'
apa: 'Chatterjee, K., Goharshady, A. K., Ibsen-Jensen, R., & Pavlogiannis, A.
(2020). Optimal and perfectly parallel algorithms for on-demand data-flow analysis.
In European Symposium on Programming (Vol. 12075, pp. 112–140). Dublin,
Ireland: Springer Nature. https://doi.org/10.1007/978-3-030-44914-8_5'
chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Rasmus Ibsen-Jensen,
and Andreas Pavlogiannis. “Optimal and Perfectly Parallel Algorithms for On-Demand
Data-Flow Analysis.” In European Symposium on Programming, 12075:112–40.
Springer Nature, 2020. https://doi.org/10.1007/978-3-030-44914-8_5.
ieee: K. Chatterjee, A. K. Goharshady, R. Ibsen-Jensen, and A. Pavlogiannis, “Optimal
and perfectly parallel algorithms for on-demand data-flow analysis,” in European
Symposium on Programming, Dublin, Ireland, 2020, vol. 12075, pp. 112–140.
ista: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Pavlogiannis A. 2020. Optimal
and perfectly parallel algorithms for on-demand data-flow analysis. European Symposium
on Programming. ESOP: Programming Languages and Systems, LNCS, vol. 12075, 112–140.'
mla: Chatterjee, Krishnendu, et al. “Optimal and Perfectly Parallel Algorithms for
On-Demand Data-Flow Analysis.” European Symposium on Programming, vol.
12075, Springer Nature, 2020, pp. 112–40, doi:10.1007/978-3-030-44914-8_5.
short: K. Chatterjee, A.K. Goharshady, R. Ibsen-Jensen, A. Pavlogiannis, in:, European
Symposium on Programming, Springer Nature, 2020, pp. 112–140.
conference:
end_date: 2020-04-30
location: Dublin, Ireland
name: 'ESOP: Programming Languages and Systems'
start_date: 2020-04-25
date_created: 2020-05-10T22:00:50Z
date_published: 2020-04-18T00:00:00Z
date_updated: 2025-06-02T08:53:42Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-030-44914-8_5
external_id:
isi:
- '000681656800005'
file:
- access_level: open_access
checksum: 8618b80f4cf7b39a60e61a6445ad9807
content_type: application/pdf
creator: dernst
date_created: 2020-05-26T13:34:48Z
date_updated: 2020-07-14T12:48:03Z
file_id: '7895'
file_name: 2020_LNCS_Chatterjee.pdf
file_size: 651250
relation: main_file
file_date_updated: 2020-07-14T12:48:03Z
has_accepted_license: '1'
intvolume: ' 12075'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 112-140
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 266EEEC0-B435-11E9-9278-68D0E5697425
name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart
Contracts
- _id: 267066CE-B435-11E9-9278-68D0E5697425
name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies
publication: European Symposium on Programming
publication_identifier:
eissn:
- '16113349'
isbn:
- '9783030449131'
issn:
- '03029743'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Optimal and perfectly parallel algorithms for on-demand data-flow analysis
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 12075
year: '2020'
...
---
_id: '8728'
abstract:
- lang: eng
text: Discrete-time Markov Chains (MCs) and Markov Decision Processes (MDPs) are
two standard formalisms in system analysis. Their main associated quantitative
objectives are hitting probabilities, discounted sum, and mean payoff. Although
there are many techniques for computing these objectives in general MCs/MDPs,
they have not been thoroughly studied in terms of parameterized algorithms, particularly
when treewidth is used as the parameter. This is in sharp contrast to qualitative
objectives for MCs, MDPs and graph games, for which treewidth-based algorithms
yield significant complexity improvements. In this work, we show that treewidth
can also be used to obtain faster algorithms for the quantitative problems. For
an MC with n states and m transitions, we show that each of the classical quantitative
objectives can be computed in O((n+m)⋅t2) time, given a tree decomposition
of the MC with width t. Our results also imply a bound of O(κ⋅(n+m)⋅t2) for
each objective on MDPs, where κ is the number of strategy-iteration refinements
required for the given input and objective. Finally, we make an experimental evaluation
of our new algorithms on low-treewidth MCs and MDPs obtained from the DaCapo benchmark
suite. Our experiments show that on low-treewidth MCs and MDPs, our algorithms
outperform existing well-established methods by one or more orders of magnitude.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Ali
full_name: Asadi, Ali
last_name: Asadi
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Kiarash
full_name: Mohammadi, Kiarash
last_name: Mohammadi
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: 'Asadi A, Chatterjee K, Goharshady AK, Mohammadi K, Pavlogiannis A. Faster
algorithms for quantitative analysis of MCs and MDPs with small treewidth. In:
Automated Technology for Verification and Analysis. Vol 12302. Springer
Nature; 2020:253-270. doi:10.1007/978-3-030-59152-6_14'
apa: 'Asadi, A., Chatterjee, K., Goharshady, A. K., Mohammadi, K., & Pavlogiannis,
A. (2020). Faster algorithms for quantitative analysis of MCs and MDPs with small
treewidth. In Automated Technology for Verification and Analysis (Vol.
12302, pp. 253–270). Hanoi, Vietnam: Springer Nature. https://doi.org/10.1007/978-3-030-59152-6_14'
chicago: Asadi, Ali, Krishnendu Chatterjee, Amir Kafshdar Goharshady, Kiarash Mohammadi,
and Andreas Pavlogiannis. “Faster Algorithms for Quantitative Analysis of MCs
and MDPs with Small Treewidth.” In Automated Technology for Verification and
Analysis, 12302:253–70. Springer Nature, 2020. https://doi.org/10.1007/978-3-030-59152-6_14.
ieee: A. Asadi, K. Chatterjee, A. K. Goharshady, K. Mohammadi, and A. Pavlogiannis,
“Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth,”
in Automated Technology for Verification and Analysis, Hanoi, Vietnam,
2020, vol. 12302, pp. 253–270.
ista: 'Asadi A, Chatterjee K, Goharshady AK, Mohammadi K, Pavlogiannis A. 2020.
Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth.
Automated Technology for Verification and Analysis. ATVA: Automated Technology
for Verification and Analysis, LNCS, vol. 12302, 253–270.'
mla: Asadi, Ali, et al. “Faster Algorithms for Quantitative Analysis of MCs and
MDPs with Small Treewidth.” Automated Technology for Verification and Analysis,
vol. 12302, Springer Nature, 2020, pp. 253–70, doi:10.1007/978-3-030-59152-6_14.
short: A. Asadi, K. Chatterjee, A.K. Goharshady, K. Mohammadi, A. Pavlogiannis,
in:, Automated Technology for Verification and Analysis, Springer Nature, 2020,
pp. 253–270.
conference:
end_date: 2020-10-23
location: Hanoi, Vietnam
name: 'ATVA: Automated Technology for Verification and Analysis'
start_date: 2020-10-19
date_created: 2020-11-06T07:30:05Z
date_published: 2020-10-12T00:00:00Z
date_updated: 2025-06-02T08:53:43Z
day: '12'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-030-59152-6_14
external_id:
isi:
- '000723555700014'
file:
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checksum: ae83f27e5b189d5abc2e7514f1b7e1b5
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creator: dernst
date_created: 2020-11-06T07:41:03Z
date_updated: 2020-11-06T07:41:03Z
file_id: '8729'
file_name: 2020_LNCS_ATVA_Asadi_accepted.pdf
file_size: 726648
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intvolume: ' 12302'
isi: 1
language:
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month: '10'
oa: 1
oa_version: Submitted Version
page: 253-270
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 267066CE-B435-11E9-9278-68D0E5697425
name: Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies
publication: Automated Technology for Verification and Analysis
publication_identifier:
eisbn:
- '9783030591526'
eissn:
- 1611-3349
isbn:
- '9783030591519'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 12302
year: '2020'
...
---
_id: '8788'
abstract:
- lang: eng
text: 'We consider a real-time setting where an environment releases sequences of
firm-deadline tasks, and an online scheduler chooses on-the-fly the ones to execute
on a single processor so as to maximize cumulated utility. The competitive ratio
is a well-known performance measure for the scheduler: it gives the worst-case
ratio, among all possible choices for the environment, of the cumulated utility
of the online scheduler versus an offline scheduler that knows these choices in
advance. Traditionally, competitive analysis is performed by hand, while automated
techniques are rare and only handle static environments with independent tasks.
We present a quantitative-verification framework for precedence-aware competitive
analysis, where task releases may depend on preceding scheduling choices, i.e.,
the environment can respond to scheduling decisions dynamically . We consider
two general classes of precedences: 1) follower precedences force the release
of a dependent task upon the completion of a set of precursor tasks, while and
2) pairing precedences modify the characteristics of a dependent task provided
the completion of a set of precursor tasks. Precedences make competitive analysis
challenging, as the online and offline schedulers operate on diverging sequences.
We make a formal presentation of our framework, and use a GPU-based implementation
to analyze ten well-known schedulers on precedence-based application examples
taken from the existing literature: 1) a handshake protocol (HP); 2) network packet-switching;
3) query scheduling (QS); and 4) a sporadic-interrupt setting. Our experimental
results show that precedences and task parameters can vary drastically the best
scheduler. Our framework thus supports application designers in choosing the best
scheduler among a given set automatically.'
acknowledgement: 'This work was supported by the Austrian Science Foundation (FWF)
under the NFN RiSE/SHiNE under Grant S11405 and Grant S11407. This article was presented
in the International Conference on Embedded Software 2020 and appears as part of
the ESWEEK-TCAD special issue. '
article_processing_charge: No
article_type: original
author:
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Nico
full_name: Schaumberger, Nico
last_name: Schaumberger
- first_name: Ulrich
full_name: Schmid, Ulrich
last_name: Schmid
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: Pavlogiannis A, Schaumberger N, Schmid U, Chatterjee K. Precedence-aware automated
competitive analysis of real-time scheduling. IEEE Transactions on Computer-Aided
Design of Integrated Circuits and Systems. 2020;39(11):3981-3992. doi:10.1109/TCAD.2020.3012803
apa: Pavlogiannis, A., Schaumberger, N., Schmid, U., & Chatterjee, K. (2020).
Precedence-aware automated competitive analysis of real-time scheduling. IEEE
Transactions on Computer-Aided Design of Integrated Circuits and Systems.
IEEE. https://doi.org/10.1109/TCAD.2020.3012803
chicago: Pavlogiannis, Andreas, Nico Schaumberger, Ulrich Schmid, and Krishnendu
Chatterjee. “Precedence-Aware Automated Competitive Analysis of Real-Time Scheduling.”
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems.
IEEE, 2020. https://doi.org/10.1109/TCAD.2020.3012803.
ieee: A. Pavlogiannis, N. Schaumberger, U. Schmid, and K. Chatterjee, “Precedence-aware
automated competitive analysis of real-time scheduling,” IEEE Transactions
on Computer-Aided Design of Integrated Circuits and Systems, vol. 39, no.
11. IEEE, pp. 3981–3992, 2020.
ista: Pavlogiannis A, Schaumberger N, Schmid U, Chatterjee K. 2020. Precedence-aware
automated competitive analysis of real-time scheduling. IEEE Transactions on Computer-Aided
Design of Integrated Circuits and Systems. 39(11), 3981–3992.
mla: Pavlogiannis, Andreas, et al. “Precedence-Aware Automated Competitive Analysis
of Real-Time Scheduling.” IEEE Transactions on Computer-Aided Design of Integrated
Circuits and Systems, vol. 39, no. 11, IEEE, 2020, pp. 3981–92, doi:10.1109/TCAD.2020.3012803.
short: A. Pavlogiannis, N. Schaumberger, U. Schmid, K. Chatterjee, IEEE Transactions
on Computer-Aided Design of Integrated Circuits and Systems 39 (2020) 3981–3992.
date_created: 2020-11-22T23:01:24Z
date_published: 2020-11-01T00:00:00Z
date_updated: 2023-08-22T13:27:05Z
day: '01'
department:
- _id: KrCh
doi: 10.1109/TCAD.2020.3012803
external_id:
isi:
- '000587712700069'
intvolume: ' 39'
isi: 1
issue: '11'
language:
- iso: eng
month: '11'
oa_version: None
page: 3981-3992
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: IEEE Transactions on Computer-Aided Design of Integrated Circuits and
Systems
publication_identifier:
eissn:
- '19374151'
issn:
- '02780070'
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Precedence-aware automated competitive analysis of real-time scheduling
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 39
year: '2020'
...
---
_id: '7212'
abstract:
- lang: eng
text: The fixation probability of a single mutant invading a population of residents
is among the most widely-studied quantities in evolutionary dynamics. Amplifiers
of natural selection are population structures that increase the fixation probability
of advantageous mutants, compared to well-mixed populations. Extensive studies
have shown that many amplifiers exist for the Birth-death Moran process, some
of them substantially increasing the fixation probability or even guaranteeing
fixation in the limit of large population size. On the other hand, no amplifiers
are known for the death-Birth Moran process, and computer-assisted exhaustive
searches have failed to discover amplification. In this work we resolve this disparity,
by showing that any amplification under death-Birth updating is necessarily bounded
and transient. Our boundedness result states that even if a population structure
does amplify selection, the resulting fixation probability is close to that of
the well-mixed population. Our transience result states that for any population
structure there exists a threshold r⋆ such that the population structure ceases
to amplify selection if the mutant fitness advantage r is larger than r⋆. Finally,
we also extend the above results to δ-death-Birth updating, which is a combination
of Birth-death and death-Birth updating. On the positive side, we identify population
structures that maintain amplification for a wide range of values r and δ. These
results demonstrate that amplification of natural selection depends on the specific
mechanisms of the evolutionary process.
article_number: e1007494
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin A.
full_name: Nowak, Martin A.
last_name: Nowak
citation:
ama: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Limits on amplifiers of
natural selection under death-Birth updating. PLoS computational biology.
2020;16. doi:10.1371/journal.pcbi.1007494
apa: Tkadlec, J., Pavlogiannis, A., Chatterjee, K., & Nowak, M. A. (2020). Limits
on amplifiers of natural selection under death-Birth updating. PLoS Computational
Biology. Public Library of Science. https://doi.org/10.1371/journal.pcbi.1007494
chicago: Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin
A. Nowak. “Limits on Amplifiers of Natural Selection under Death-Birth Updating.”
PLoS Computational Biology. Public Library of Science, 2020. https://doi.org/10.1371/journal.pcbi.1007494.
ieee: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Limits on amplifiers
of natural selection under death-Birth updating,” PLoS computational biology,
vol. 16. Public Library of Science, 2020.
ista: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2020. Limits on amplifiers
of natural selection under death-Birth updating. PLoS computational biology. 16,
e1007494.
mla: Tkadlec, Josef, et al. “Limits on Amplifiers of Natural Selection under Death-Birth
Updating.” PLoS Computational Biology, vol. 16, e1007494, Public Library
of Science, 2020, doi:10.1371/journal.pcbi.1007494.
short: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, PLoS Computational
Biology 16 (2020).
date_created: 2019-12-23T13:45:11Z
date_published: 2020-01-17T00:00:00Z
date_updated: 2023-10-17T12:29:47Z
day: '17'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1371/journal.pcbi.1007494
ec_funded: 1
external_id:
arxiv:
- '1906.02785'
isi:
- '000510916500025'
file:
- access_level: open_access
checksum: ce32ee2d2f53aed832f78bbd47e882df
content_type: application/pdf
creator: dernst
date_created: 2020-02-03T07:32:42Z
date_updated: 2020-07-14T12:47:53Z
file_id: '7441'
file_name: 2020_PlosCompBio_Tkadlec.pdf
file_size: 1817531
relation: main_file
file_date_updated: 2020-07-14T12:47:53Z
has_accepted_license: '1'
intvolume: ' 16'
isi: 1
language:
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month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: PLoS computational biology
publication_identifier:
eissn:
- '15537358'
publication_status: published
publisher: Public Library of Science
quality_controlled: '1'
related_material:
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scopus_import: '1'
status: public
title: Limits on amplifiers of natural selection under death-Birth updating
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16
year: '2020'
...
---
_id: '7158'
abstract:
- lang: eng
text: "Interprocedural analysis is at the heart of numerous applications in programming
languages, such as alias analysis, constant propagation, and so on. Recursive
state machines (RSMs) are standard models for interprocedural analysis. We consider
a general framework with RSMs where the transitions are labeled from a semiring
and path properties are algebraic with semiring operations. RSMs with algebraic
path properties can model interprocedural dataflow analysis problems, the shortest
path problem, the most probable path problem, and so on. The traditional algorithms
for interprocedural analysis focus on path properties where the starting point
is fixed as the entry point of a specific method. In this work, we consider possible
multiple queries as required in many applications such as in alias analysis. The
study of multiple queries allows us to bring in an important algorithmic distinction
between the resource usage of the one-time preprocessing vs for each individual
query. The second aspect we consider is that the control flow graphs for most
programs have constant treewidth.\r\n\r\nOur main contributions are simple and
implementable algorithms that support multiple queries for algebraic path properties
for RSMs that have constant treewidth. Our theoretical results show that our algorithms
have small additional one-time preprocessing but can answer subsequent queries
significantly faster as compared to the current algorithmic solutions for interprocedural
dataflow analysis. We have also implemented our algorithms and evaluated their
performance for performing on-demand interprocedural dataflow analysis on various
domains, such as for live variable analysis and reaching definitions, on a standard
benchmark set. Our experimental results align with our theoretical statements
and show that after a lightweight preprocessing, on-demand queries are answered
much faster than the standard existing algorithmic approaches.\r\n"
article_number: '23'
article_processing_charge: No
article_type: original
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Prateesh
full_name: Goyal, Prateesh
last_name: Goyal
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: Chatterjee K, Goharshady AK, Goyal P, Ibsen-Jensen R, Pavlogiannis A. Faster
algorithms for dynamic algebraic queries in basic RSMs with constant treewidth.
ACM Transactions on Programming Languages and Systems. 2019;41(4). doi:10.1145/3363525
apa: Chatterjee, K., Goharshady, A. K., Goyal, P., Ibsen-Jensen, R., & Pavlogiannis,
A. (2019). Faster algorithms for dynamic algebraic queries in basic RSMs with
constant treewidth. ACM Transactions on Programming Languages and Systems.
ACM. https://doi.org/10.1145/3363525
chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Prateesh Goyal, Rasmus
Ibsen-Jensen, and Andreas Pavlogiannis. “Faster Algorithms for Dynamic Algebraic
Queries in Basic RSMs with Constant Treewidth.” ACM Transactions on Programming
Languages and Systems. ACM, 2019. https://doi.org/10.1145/3363525.
ieee: K. Chatterjee, A. K. Goharshady, P. Goyal, R. Ibsen-Jensen, and A. Pavlogiannis,
“Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth,”
ACM Transactions on Programming Languages and Systems, vol. 41, no. 4.
ACM, 2019.
ista: Chatterjee K, Goharshady AK, Goyal P, Ibsen-Jensen R, Pavlogiannis A. 2019.
Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth.
ACM Transactions on Programming Languages and Systems. 41(4), 23.
mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Dynamic Algebraic Queries
in Basic RSMs with Constant Treewidth.” ACM Transactions on Programming Languages
and Systems, vol. 41, no. 4, 23, ACM, 2019, doi:10.1145/3363525.
short: K. Chatterjee, A.K. Goharshady, P. Goyal, R. Ibsen-Jensen, A. Pavlogiannis,
ACM Transactions on Programming Languages and Systems 41 (2019).
date_created: 2019-12-09T08:33:33Z
date_published: 2019-11-01T00:00:00Z
date_updated: 2024-03-25T23:30:19Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3363525
ec_funded: 1
external_id:
isi:
- '000564108400004'
file:
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file_size: 667357
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has_accepted_license: '1'
intvolume: ' 41'
isi: 1
issue: '4'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Submitted Version
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publication: ACM Transactions on Programming Languages and Systems
publication_identifier:
issn:
- 0164-0925
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quality_controlled: '1'
related_material:
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relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Faster algorithms for dynamic algebraic queries in basic RSMs with constant
treewidth
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 41
year: '2019'
...
---
_id: '7210'
abstract:
- lang: eng
text: The rate of biological evolution depends on the fixation probability and on
the fixation time of new mutants. Intensive research has focused on identifying
population structures that augment the fixation probability of advantageous mutants.
But these amplifiers of natural selection typically increase fixation time. Here
we study population structures that achieve a tradeoff between fixation probability
and time. First, we show that no amplifiers can have an asymptotically lower absorption
time than the well-mixed population. Then we design population structures that
substantially augment the fixation probability with just a minor increase in fixation
time. Finally, we show that those structures enable higher effective rate of evolution
than the well-mixed population provided that the rate of generating advantageous
mutants is relatively low. Our work sheds light on how population structure affects
the rate of evolution. Moreover, our structures could be useful for lab-based,
medical, or industrial applications of evolutionary optimization.
article_number: '138'
article_processing_charge: No
article_type: original
author:
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin A.
full_name: Nowak, Martin A.
last_name: Nowak
citation:
ama: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Population structure determines
the tradeoff between fixation probability and fixation time. Communications
Biology. 2019;2. doi:10.1038/s42003-019-0373-y
apa: Tkadlec, J., Pavlogiannis, A., Chatterjee, K., & Nowak, M. A. (2019). Population
structure determines the tradeoff between fixation probability and fixation time.
Communications Biology. Springer Nature. https://doi.org/10.1038/s42003-019-0373-y
chicago: Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin
A. Nowak. “Population Structure Determines the Tradeoff between Fixation Probability
and Fixation Time.” Communications Biology. Springer Nature, 2019. https://doi.org/10.1038/s42003-019-0373-y.
ieee: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Population structure
determines the tradeoff between fixation probability and fixation time,” Communications
Biology, vol. 2. Springer Nature, 2019.
ista: Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2019. Population structure
determines the tradeoff between fixation probability and fixation time. Communications
Biology. 2, 138.
mla: Tkadlec, Josef, et al. “Population Structure Determines the Tradeoff between
Fixation Probability and Fixation Time.” Communications Biology, vol. 2,
138, Springer Nature, 2019, doi:10.1038/s42003-019-0373-y.
short: J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Communications Biology
2 (2019).
date_created: 2019-12-23T13:36:50Z
date_published: 2019-04-23T00:00:00Z
date_updated: 2023-09-07T13:19:22Z
day: '23'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1038/s42003-019-0373-y
ec_funded: 1
external_id:
isi:
- '000465425700006'
pmid:
- '31044163'
file:
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content_type: application/pdf
creator: dernst
date_created: 2019-12-23T13:39:30Z
date_updated: 2020-07-14T12:47:53Z
file_id: '7211'
file_name: 2019_CommBio_Tkadlec.pdf
file_size: 1670274
relation: main_file
file_date_updated: 2020-07-14T12:47:53Z
has_accepted_license: '1'
intvolume: ' 2'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication: Communications Biology
publication_identifier:
issn:
- 2399-3642
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
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relation: part_of_dissertation
status: public
scopus_import: '1'
status: public
title: Population structure determines the tradeoff between fixation probability and
fixation time
tmp:
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legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 2
year: '2019'
...
---
_id: '6380'
abstract:
- lang: eng
text: 'There is a huge gap between the speeds of modern caches and main memories,
and therefore cache misses account for a considerable loss of efficiency in programs.
The predominant technique to address this issue has been Data Packing: data elements
that are frequently accessed within time proximity are packed into the same cache
block, thereby minimizing accesses to the main memory. We consider the algorithmic
problem of Data Packing on a two-level memory system. Given a reference sequence
R of accesses to data elements, the task is to partition the elements into cache
blocks such that the number of cache misses on R is minimized. The problem is
notoriously difficult: it is NP-hard even when the cache has size 1, and is hard
to approximate for any cache size larger than 4. Therefore, all existing techniques
for Data Packing are based on heuristics and lack theoretical guarantees. In this
work, we present the first positive theoretical results for Data Packing, along
with new and stronger negative results. We consider the problem under the lens
of the underlying access hypergraphs, which are hypergraphs of affinities between
the data elements, where the order of an access hypergraph corresponds to the
size of the affinity group. We study the problem parameterized by the treewidth
of access hypergraphs, which is a standard notion in graph theory to measure the
closeness of a graph to a tree. Our main results are as follows: We show there
is a number q* depending on the cache parameters such that (a) if the access hypergraph
of order q* has constant treewidth, then there is a linear-time algorithm for
Data Packing; (b)the Data Packing problem remains NP-hard even if the access hypergraph
of order q*-1 has constant treewidth. Thus, we establish a fine-grained dichotomy
depending on a single parameter, namely, the highest order among access hypegraphs
that have constant treewidth; and establish the optimal value q* of this parameter.
Finally, we present an experimental evaluation of a prototype implementation of
our algorithm. Our results demonstrate that, in practice, access hypergraphs of
many commonly-used algorithms have small treewidth. We compare our approach with
several state-of-the-art heuristic-based algorithms and show that our algorithm
leads to significantly fewer cache-misses. '
article_number: '53'
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Nastaran
full_name: Okati, Nastaran
last_name: Okati
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: Chatterjee K, Goharshady AK, Okati N, Pavlogiannis A. Efficient parameterized
algorithms for data packing. Proceedings of the ACM on Programming Languages.
2019;3(POPL). doi:10.1145/3290366
apa: Chatterjee, K., Goharshady, A. K., Okati, N., & Pavlogiannis, A. (2019).
Efficient parameterized algorithms for data packing. Proceedings of the ACM
on Programming Languages. ACM. https://doi.org/10.1145/3290366
chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Nastaran Okati, and Andreas
Pavlogiannis. “Efficient Parameterized Algorithms for Data Packing.” Proceedings
of the ACM on Programming Languages. ACM, 2019. https://doi.org/10.1145/3290366.
ieee: K. Chatterjee, A. K. Goharshady, N. Okati, and A. Pavlogiannis, “Efficient
parameterized algorithms for data packing,” Proceedings of the ACM on Programming
Languages, vol. 3, no. POPL. ACM, 2019.
ista: Chatterjee K, Goharshady AK, Okati N, Pavlogiannis A. 2019. Efficient parameterized
algorithms for data packing. Proceedings of the ACM on Programming Languages.
3(POPL), 53.
mla: Chatterjee, Krishnendu, et al. “Efficient Parameterized Algorithms for Data
Packing.” Proceedings of the ACM on Programming Languages, vol. 3, no.
POPL, 53, ACM, 2019, doi:10.1145/3290366.
short: K. Chatterjee, A.K. Goharshady, N. Okati, A. Pavlogiannis, Proceedings of
the ACM on Programming Languages 3 (2019).
date_created: 2019-05-06T12:18:17Z
date_published: 2019-01-01T00:00:00Z
date_updated: 2024-03-25T23:30:18Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1145/3290366
ec_funded: 1
file:
- access_level: open_access
checksum: c157752f96877b36685ad7063ada4524
content_type: application/pdf
creator: dernst
date_created: 2019-05-06T12:23:11Z
date_updated: 2020-07-14T12:47:29Z
file_id: '6381'
file_name: 2019_ACM_POPL_Chatterjee.pdf
file_size: 1294962
relation: main_file
file_date_updated: 2020-07-14T12:47:29Z
has_accepted_license: '1'
intvolume: ' 3'
issue: POPL
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publication: Proceedings of the ACM on Programming Languages
publication_identifier:
issn:
- 2475-1421
publication_status: published
publisher: ACM
pubrep_id: '1056'
quality_controlled: '1'
related_material:
record:
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relation: dissertation_contains
status: public
status: public
title: Efficient parameterized algorithms for data packing
tmp:
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legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2019'
...
---
_id: '10190'
abstract:
- lang: eng
text: 'The verification of concurrent programs remains an open challenge, as thread
interaction has to be accounted for, which leads to state-space explosion. Stateless
model checking battles this problem by exploring traces rather than states of
the program. As there are exponentially many traces, dynamic partial-order reduction
(DPOR) techniques are used to partition the trace space into equivalence classes,
and explore a few representatives from each class. The standard equivalence that
underlies most DPOR techniques is the happens-before equivalence, however recent
works have spawned a vivid interest towards coarser equivalences. The efficiency
of such approaches is a product of two parameters: (i) the size of the partitioning
induced by the equivalence, and (ii) the time spent by the exploration algorithm
in each class of the partitioning. In this work, we present a new equivalence,
called value-happens-before and show that it has two appealing features. First,
value-happens-before is always at least as coarse as the happens-before equivalence,
and can be even exponentially coarser. Second, the value-happens-before partitioning
is efficiently explorable when the number of threads is bounded. We present an
algorithm called value-centric DPOR (VCDPOR), which explores the underlying partitioning
using polynomial time per class. Finally, we perform an experimental evaluation
of VCDPOR on various benchmarks, and compare it against other state-of-the-art
approaches. Our results show that value-happens-before typically induces a significant
reduction in the size of the underlying partitioning, which leads to a considerable
reduction in the running time for exploring the whole partitioning.'
acknowledgement: "The authors would also like to thank anonymous referees for their
valuable comments and helpful suggestions. This work is supported by the Austrian
Science Fund (FWF) NFN grants S11407-N23 (RiSE/SHiNE) and S11402-N23 (RiSE/SHiNE),
by the Vienna Science and Technology Fund (WWTF) Project ICT15-003, and by the Austrian
Science Fund (FWF) Schrodinger grant J-4220.\r\n"
article_number: '124'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Viktor
full_name: Toman, Viktor
id: 3AF3DA7C-F248-11E8-B48F-1D18A9856A87
last_name: Toman
orcid: 0000-0001-9036-063X
citation:
ama: 'Chatterjee K, Pavlogiannis A, Toman V. Value-centric dynamic partial order
reduction. In: Proceedings of the 34th ACM International Conference on Object-Oriented
Programming, Systems, Languages, and Applications. Vol 3. ACM; 2019. doi:10.1145/3360550'
apa: 'Chatterjee, K., Pavlogiannis, A., & Toman, V. (2019). Value-centric dynamic
partial order reduction. In Proceedings of the 34th ACM International Conference
on Object-Oriented Programming, Systems, Languages, and Applications (Vol.
3). Athens, Greece: ACM. https://doi.org/10.1145/3360550'
chicago: Chatterjee, Krishnendu, Andreas Pavlogiannis, and Viktor Toman. “Value-Centric
Dynamic Partial Order Reduction.” In Proceedings of the 34th ACM International
Conference on Object-Oriented Programming, Systems, Languages, and Applications,
Vol. 3. ACM, 2019. https://doi.org/10.1145/3360550.
ieee: K. Chatterjee, A. Pavlogiannis, and V. Toman, “Value-centric dynamic partial
order reduction,” in Proceedings of the 34th ACM International Conference on
Object-Oriented Programming, Systems, Languages, and Applications, Athens,
Greece, 2019, vol. 3.
ista: 'Chatterjee K, Pavlogiannis A, Toman V. 2019. Value-centric dynamic partial
order reduction. Proceedings of the 34th ACM International Conference on Object-Oriented
Programming, Systems, Languages, and Applications. OOPSLA: Object-oriented Programming,
Systems, Languages and Applications vol. 3, 124.'
mla: Chatterjee, Krishnendu, et al. “Value-Centric Dynamic Partial Order Reduction.”
Proceedings of the 34th ACM International Conference on Object-Oriented Programming,
Systems, Languages, and Applications, vol. 3, 124, ACM, 2019, doi:10.1145/3360550.
short: K. Chatterjee, A. Pavlogiannis, V. Toman, in:, Proceedings of the 34th ACM
International Conference on Object-Oriented Programming, Systems, Languages, and
Applications, ACM, 2019.
conference:
end_date: 2019-10-25
location: Athens, Greece
name: 'OOPSLA: Object-oriented Programming, Systems, Languages and Applications'
start_date: 2019-10-23
date_created: 2021-10-27T14:57:06Z
date_published: 2019-10-10T00:00:00Z
date_updated: 2025-07-14T09:10:15Z
day: '10'
ddc:
- '000'
department:
- _id: GradSch
- _id: KrCh
doi: 10.1145/3360550
external_id:
arxiv:
- '1909.00989'
file:
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checksum: 2149979c46964c4d117af06ccb6c0834
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file_size: 570829
relation: main_file
success: 1
file_date_updated: 2021-11-12T11:41:56Z
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intvolume: ' 3'
keyword:
- safety
- risk
- reliability and quality
- software
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://dl.acm.org/doi/10.1145/3360550
month: '10'
oa: 1
oa_version: Published Version
project:
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grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
publication: Proceedings of the 34th ACM International Conference on Object-Oriented
Programming, Systems, Languages, and Applications
publication_identifier:
eissn:
- 2475-1421
publication_status: published
publisher: ACM
quality_controlled: '1'
related_material:
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relation: dissertation_contains
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status: public
title: Value-centric dynamic partial order reduction
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 3
year: '2019'
...
---
_id: '738'
abstract:
- lang: eng
text: 'This paper is devoted to automatic competitive analysis of real-time scheduling
algorithms for firm-deadline tasksets, where only completed tasks con- tribute
some utility to the system. Given such a taskset T , the competitive ratio of
an on-line scheduling algorithm A for T is the worst-case utility ratio of A over
the utility achieved by a clairvoyant algorithm. We leverage the theory of quantitative
graph games to address the competitive analysis and competitive synthesis problems.
For the competitive analysis case, given any taskset T and any finite-memory on-
line scheduling algorithm A , we show that the competitive ratio of A in T can
be computed in polynomial time in the size of the state space of A . Our approach
is flexible as it also provides ways to model meaningful constraints on the released
task sequences that determine the competitive ratio. We provide an experimental
study of many well-known on-line scheduling algorithms, which demonstrates the
feasibility of our competitive analysis approach that effectively replaces human
ingenuity (required Preliminary versions of this paper have appeared in Chatterjee
et al. ( 2013 , 2014 ). B Andreas Pavlogiannis pavlogiannis@ist.ac.at Krishnendu
Chatterjee krish.chat@ist.ac.at Alexander Kößler koe@ecs.tuwien.ac.at Ulrich Schmid
s@ecs.tuwien.ac.at 1 IST Austria (Institute of Science and Technology Austria),
Am Campus 1, 3400 Klosterneuburg, Austria 2 Embedded Computing Systems Group,
Vienna University of Technology, Treitlstrasse 3, 1040 Vienna, Austria 123 Real-Time
Syst for finding worst-case scenarios) by computing power. For the competitive
synthesis case, we are just given a taskset T , and the goal is to automatically
synthesize an opti- mal on-line scheduling algorithm A , i.e., one that guarantees
the largest competitive ratio possible for T . We show how the competitive synthesis
problem can be reduced to a two-player graph game with partial information, and
establish that the compu- tational complexity of solving this game is Np -complete.
The competitive synthesis problem is hence in Np in the size of the state space
of the non-deterministic labeled transition system encoding the taskset. Overall,
the proposed framework assists in the selection of suitable scheduling algorithms
for a given taskset, which is in fact the most common situation in real-time systems
design. '
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Alexander
full_name: Kößler, Alexander
last_name: Kößler
- first_name: Ulrich
full_name: Schmid, Ulrich
last_name: Schmid
citation:
ama: Chatterjee K, Pavlogiannis A, Kößler A, Schmid U. Automated competitive analysis
of real time scheduling with graph games. Real-Time Systems. 2018;54(1):166-207.
doi:10.1007/s11241-017-9293-4
apa: Chatterjee, K., Pavlogiannis, A., Kößler, A., & Schmid, U. (2018). Automated
competitive analysis of real time scheduling with graph games. Real-Time Systems.
Springer. https://doi.org/10.1007/s11241-017-9293-4
chicago: Chatterjee, Krishnendu, Andreas Pavlogiannis, Alexander Kößler, and Ulrich
Schmid. “Automated Competitive Analysis of Real Time Scheduling with Graph Games.”
Real-Time Systems. Springer, 2018. https://doi.org/10.1007/s11241-017-9293-4.
ieee: K. Chatterjee, A. Pavlogiannis, A. Kößler, and U. Schmid, “Automated competitive
analysis of real time scheduling with graph games,” Real-Time Systems,
vol. 54, no. 1. Springer, pp. 166–207, 2018.
ista: Chatterjee K, Pavlogiannis A, Kößler A, Schmid U. 2018. Automated competitive
analysis of real time scheduling with graph games. Real-Time Systems. 54(1), 166–207.
mla: Chatterjee, Krishnendu, et al. “Automated Competitive Analysis of Real Time
Scheduling with Graph Games.” Real-Time Systems, vol. 54, no. 1, Springer,
2018, pp. 166–207, doi:10.1007/s11241-017-9293-4.
short: K. Chatterjee, A. Pavlogiannis, A. Kößler, U. Schmid, Real-Time Systems 54
(2018) 166–207.
date_created: 2018-12-11T11:48:14Z
date_published: 2018-01-01T00:00:00Z
date_updated: 2023-09-27T12:52:38Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/s11241-017-9293-4
ec_funded: 1
external_id:
isi:
- '000419955500006'
file:
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checksum: c2590ef160709d8054cf29ee173f1454
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:17:14Z
date_updated: 2020-07-14T12:47:56Z
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file_size: 1163507
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intvolume: ' 54'
isi: 1
issue: '1'
language:
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month: '01'
oa: 1
oa_version: Published Version
page: 166 - 207
project:
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call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: Real-Time Systems
publication_status: published
publisher: Springer
publist_id: '6929'
pubrep_id: '960'
quality_controlled: '1'
related_material:
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title: Automated competitive analysis of real time scheduling with graph games
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name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 54
year: '2018'
...
---
_id: '5751'
abstract:
- lang: eng
text: 'Because of the intrinsic randomness of the evolutionary process, a mutant
with a fitness advantage has some chance to be selected but no certainty. Any
experiment that searches for advantageous mutants will lose many of them due to
random drift. It is therefore of great interest to find population structures
that improve the odds of advantageous mutants. Such structures are called amplifiers
of natural selection: they increase the probability that advantageous mutants
are selected. Arbitrarily strong amplifiers guarantee the selection of advantageous
mutants, even for very small fitness advantage. Despite intensive research over
the past decade, arbitrarily strong amplifiers have remained rare. Here we show
how to construct a large variety of them. Our amplifiers are so simple that they
could be useful in biotechnology, when optimizing biological molecules, or as
a diagnostic tool, when searching for faster dividing cells or viruses. They could
also occur in natural population structures.'
article_number: '71'
article_processing_charge: No
author:
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin A.
full_name: Nowak, Martin A.
last_name: Nowak
citation:
ama: Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak MA. Construction of arbitrarily
strong amplifiers of natural selection using evolutionary graph theory. Communications
Biology. 2018;1(1). doi:10.1038/s42003-018-0078-7
apa: Pavlogiannis, A., Tkadlec, J., Chatterjee, K., & Nowak, M. A. (2018). Construction
of arbitrarily strong amplifiers of natural selection using evolutionary graph
theory. Communications Biology. Springer Nature. https://doi.org/10.1038/s42003-018-0078-7
chicago: Pavlogiannis, Andreas, Josef Tkadlec, Krishnendu Chatterjee, and Martin
A. Nowak. “Construction of Arbitrarily Strong Amplifiers of Natural Selection
Using Evolutionary Graph Theory.” Communications Biology. Springer Nature,
2018. https://doi.org/10.1038/s42003-018-0078-7.
ieee: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, and M. A. Nowak, “Construction
of arbitrarily strong amplifiers of natural selection using evolutionary graph
theory,” Communications Biology, vol. 1, no. 1. Springer Nature, 2018.
ista: Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak MA. 2018. Construction of arbitrarily
strong amplifiers of natural selection using evolutionary graph theory. Communications
Biology. 1(1), 71.
mla: Pavlogiannis, Andreas, et al. “Construction of Arbitrarily Strong Amplifiers
of Natural Selection Using Evolutionary Graph Theory.” Communications Biology,
vol. 1, no. 1, 71, Springer Nature, 2018, doi:10.1038/s42003-018-0078-7.
short: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, M.A. Nowak, Communications Biology
1 (2018).
date_created: 2018-12-18T13:22:58Z
date_published: 2018-06-14T00:00:00Z
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title: Construction of arbitrarily strong amplifiers of natural selection using evolutionary
graph theory
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...
---
_id: '6009'
abstract:
- lang: eng
text: "We study algorithmic questions wrt algebraic path properties in concurrent
systems, where the transitions of the system are labeled from a complete, closed
semiring. The algebraic path properties can model dataflow analysis problems,
the shortest path problem, and many other natural problems that arise in program
analysis. We consider that each component of the concurrent system is a graph
with constant treewidth, a property satisfied by the controlflow graphs of most
programs. We allow for multiple possible queries, which arise naturally in demand
driven dataflow analysis. The study of multiple queries allows us to consider
the tradeoff between the resource usage of the one-time preprocessing and for
each individual query. The traditional approach constructs the product graph of
all components and applies the best-known graph algorithm on the product. In this
approach, even the answer to a single query requires the transitive closure (i.e.,
the results of all possible queries), which provides no room for tradeoff between
preprocessing and query time.\r\nOur main contributions are algorithms that significantly
improve the worst-case running time of the traditional approach, and provide various
tradeoffs depending on the number of queries. For example, in a concurrent system
of two components, the traditional approach requires hexic time in the worst case
for answering one query as well as computing the transitive closure, whereas we
show that with one-time preprocessing in almost cubic time, each subsequent query
can be answered in at most linear time, and even the transitive closure can be
computed in almost quartic time. Furthermore, we establish conditional optimality
results showing that the worst-case running time of our algorithms cannot be improved
without achieving major breakthroughs in graph algorithms (i.e., improving the
worst-case bound for the shortest path problem in general graphs). Preliminary
experimental results show that our algorithms perform favorably on several benchmarks.\r\n"
article_number: '9'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: Chatterjee K, Ibsen-Jensen R, Goharshady AK, Pavlogiannis A. Algorithms for
algebraic path properties in concurrent systems of constant treewidth components.
ACM Transactions on Programming Languages and Systems. 2018;40(3). doi:10.1145/3210257
apa: Chatterjee, K., Ibsen-Jensen, R., Goharshady, A. K., & Pavlogiannis, A.
(2018). Algorithms for algebraic path properties in concurrent systems of constant
treewidth components. ACM Transactions on Programming Languages and Systems.
Association for Computing Machinery (ACM). https://doi.org/10.1145/3210257
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Amir Kafshdar Goharshady,
and Andreas Pavlogiannis. “Algorithms for Algebraic Path Properties in Concurrent
Systems of Constant Treewidth Components.” ACM Transactions on Programming
Languages and Systems. Association for Computing Machinery (ACM), 2018. https://doi.org/10.1145/3210257.
ieee: K. Chatterjee, R. Ibsen-Jensen, A. K. Goharshady, and A. Pavlogiannis, “Algorithms
for algebraic path properties in concurrent systems of constant treewidth components,”
ACM Transactions on Programming Languages and Systems, vol. 40, no. 3.
Association for Computing Machinery (ACM), 2018.
ista: Chatterjee K, Ibsen-Jensen R, Goharshady AK, Pavlogiannis A. 2018. Algorithms
for algebraic path properties in concurrent systems of constant treewidth components.
ACM Transactions on Programming Languages and Systems. 40(3), 9.
mla: Chatterjee, Krishnendu, et al. “Algorithms for Algebraic Path Properties in
Concurrent Systems of Constant Treewidth Components.” ACM Transactions on Programming
Languages and Systems, vol. 40, no. 3, 9, Association for Computing Machinery
(ACM), 2018, doi:10.1145/3210257.
short: K. Chatterjee, R. Ibsen-Jensen, A.K. Goharshady, A. Pavlogiannis, ACM Transactions
on Programming Languages and Systems 40 (2018).
date_created: 2019-02-14T14:31:52Z
date_published: 2018-08-01T00:00:00Z
date_updated: 2024-03-25T23:30:19Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3210257
ec_funded: 1
external_id:
arxiv:
- '1510.07565'
isi:
- '000444694800001'
intvolume: ' 40'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
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month: '08'
oa: 1
oa_version: Preprint
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- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
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grant_number: S 11407_N23
name: Rigorous Systems Engineering
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call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publication: ACM Transactions on Programming Languages and Systems
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title: Algorithms for algebraic path properties in concurrent systems of constant
treewidth components
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 40
year: '2018'
...
---
_id: '821'
abstract:
- lang: eng
text: "This dissertation focuses on algorithmic aspects of program verification,
and presents modeling and complexity advances on several problems related to the\r\nstatic
analysis of programs, the stateless model checking of concurrent programs, and
the competitive analysis of real-time scheduling algorithms.\r\nOur contributions
can be broadly grouped into five categories.\r\n\r\nOur first contribution is
a set of new algorithms and data structures for the quantitative and data-flow
analysis of programs, based on the graph-theoretic notion of treewidth.\r\nIt
has been observed that the control-flow graphs of typical programs have special
structure, and are characterized as graphs of small treewidth.\r\nWe utilize this
structural property to provide faster algorithms for the quantitative and data-flow
analysis of recursive and concurrent programs.\r\nIn most cases we make an algebraic
treatment of the considered problem,\r\nwhere several interesting analyses, such
as the reachability, shortest path, and certain kind of data-flow analysis problems
follow as special cases. \r\nWe exploit the constant-treewidth property to obtain
algorithmic improvements for on-demand versions of the problems, \r\nand provide
data structures with various tradeoffs between the resources spent in the preprocessing
and querying phase.\r\nWe also improve on the algorithmic complexity of quantitative
problems outside the algebraic path framework,\r\nnamely of the minimum mean-payoff,
minimum ratio, and minimum initial credit for energy problems.\r\n\r\n\r\nOur
second contribution is a set of algorithms for Dyck reachability with applications
to data-dependence analysis and alias analysis.\r\nIn particular, we develop an
optimal algorithm for Dyck reachability on bidirected graphs, which are ubiquitous
in context-insensitive, field-sensitive points-to analysis.\r\nAdditionally, we
develop an efficient algorithm for context-sensitive data-dependence analysis
via Dyck reachability,\r\nwhere the task is to obtain analysis summaries of library
code in the presence of callbacks.\r\nOur algorithm preprocesses libraries in
almost linear time, after which the contribution of the library in the complexity
of the client analysis is (i)~linear in the number of call sites and (ii)~only
logarithmic in the size of the whole library, as opposed to linear in the size
of the whole library.\r\nFinally, we prove that Dyck reachability is Boolean Matrix
Multiplication-hard in general, and the hardness also holds for graphs of constant
treewidth.\r\nThis hardness result strongly indicates that there exist no combinatorial
algorithms for Dyck reachability with truly subcubic complexity.\r\n\r\n\r\nOur
third contribution is the formalization and algorithmic treatment of the Quantitative
Interprocedural Analysis framework.\r\nIn this framework, the transitions of a
recursive program are annotated as good, bad or neutral, and receive a weight
which measures\r\nthe magnitude of their respective effect.\r\nThe Quantitative
Interprocedural Analysis problem asks to determine whether there exists an infinite
run of the program where the long-run ratio of the bad weights over the good weights
is above a given threshold.\r\nWe illustrate how several quantitative problems
related to static analysis of recursive programs can be instantiated in this framework,\r\nand
present some case studies to this direction.\r\n\r\n\r\nOur fourth contribution
is a new dynamic partial-order reduction for the stateless model checking of concurrent
programs. Traditional approaches rely on the standard Mazurkiewicz equivalence
between traces, by means of partitioning the trace space into equivalence classes,
and attempting to explore a few representatives from each class.\r\nWe present
a new dynamic partial-order reduction method called the Data-centric Partial
Order Reduction (DC-DPOR).\r\nOur algorithm is based on a new equivalence between
traces, called the observation equivalence.\r\nDC-DPOR explores a coarser partitioning
of the trace space than any exploration method based on the standard Mazurkiewicz
equivalence.\r\nDepending on the program, the new partitioning can be even exponentially
coarser.\r\nAdditionally, DC-DPOR spends only polynomial time in each explored
class.\r\n\r\n\r\nOur fifth contribution is the use of automata and game-theoretic
verification techniques in the competitive analysis and synthesis of real-time
scheduling algorithms for firm-deadline tasks.\r\nOn the analysis side, we leverage
automata on infinite words to compute the competitive ratio of real-time schedulers
subject to various environmental constraints.\r\nOn the synthesis side, we introduce
a new instance of two-player mean-payoff partial-information games, and show\r\nhow
the synthesis of an optimal real-time scheduler can be reduced to computing winning
strategies in this new type of games."
acknowledgement: "First, I am thankful to my advisor, Krishnendu Chatterjee, for offering
me the opportunity to\r\nmaterialize my scientific curiosity in a remarkably wide
range of interesting topics, as well as for his constant availability and continuous
support throughout my doctoral studies. I have had the privilege of collaborating
with, discussing and getting inspired by all members of my committee: Thomas A.
Henzinger, Ulrich Schmid and Martin A. Nowak. The role of the above four people
has been very instrumental both to the research carried out for this dissertation,
and to the researcher I evolved to in the process.\r\nI have greatly enjoyed my
numerous brainstorming sessions with Rasmus Ibsen-Jensen, many\r\nof which led to
results on low-treewidth graphs presented here. I thank Alex Kößler for our\r\ndiscussions
on modeling and analyzing real-time scheduling algorithms, Yaron Velner for our\r\ncollaboration
on the Quantitative Interprocedural Analysis framework, and Nishant Sinha for our
initial discussions on partial order reduction techniques in stateless model checking.
I also thank Jan Otop, Ben Adlam, Bernhard Kragl and Josef Tkadlec for our fruitful
collaborations on\r\ntopics outside the scope of this dissertation, as well as the
interns Prateesh Goyal, Amir Kafshdar Goharshady, Samarth Mishra, Bhavya Choudhary
and Marek Chalupa, with whom I have shared my excitement on various research topics.
Together with my collaborators, I thank officemates and members of the Chatterjee
and Henzinger groups throughout the years, Thorsten Tarrach, Ventsi Chonev, Roopsha
Samanta, Przemek Daca, Mirco Giacobbe, Tanja Petrov, Ashutosh\r\nGupta, Arjun Radhakrishna,
\ Petr Novontý, Christian Hilbe, Jakob Ruess, Martin Chmelik,\r\nCezara Dragoi,
Johannes Reiter, Andrey Kupriyanov, Guy Avni, Sasha Rubin, Jessica Davies, Hongfei
Fu, Thomas Ferrère, Pavol Cerný, Ali Sezgin, Jan Kretínský, Sergiy Bogomolov, Hui\r\nKong,
Benjamin Aminof, Duc-Hiep Chu, and Damien Zufferey. Besides collaborations and
office spaces, with many of the above people I have been fortunate to share numerous
whiteboard\r\ndiscussions, as well as memorable long walks and amicable meals accompanied
by stimulating\r\nconversations. I am highly indebted to Elisabeth Hacker for her
continuous assistance in matters\r\nthat often exceeded her official duties, and
who made my integration in Austria a smooth process."
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: Pavlogiannis A. Algorithmic advances in program analysis and their applications.
2017. doi:10.15479/AT:ISTA:th_854
apa: Pavlogiannis, A. (2017). Algorithmic advances in program analysis and their
applications. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:th_854
chicago: Pavlogiannis, Andreas. “Algorithmic Advances in Program Analysis and Their
Applications.” Institute of Science and Technology Austria, 2017. https://doi.org/10.15479/AT:ISTA:th_854.
ieee: A. Pavlogiannis, “Algorithmic advances in program analysis and their applications,”
Institute of Science and Technology Austria, 2017.
ista: Pavlogiannis A. 2017. Algorithmic advances in program analysis and their applications.
Institute of Science and Technology Austria.
mla: Pavlogiannis, Andreas. Algorithmic Advances in Program Analysis and Their
Applications. Institute of Science and Technology Austria, 2017, doi:10.15479/AT:ISTA:th_854.
short: A. Pavlogiannis, Algorithmic Advances in Program Analysis and Their Applications,
Institute of Science and Technology Austria, 2017.
date_created: 2018-12-11T11:48:41Z
date_published: 2017-08-09T00:00:00Z
date_updated: 2023-09-07T12:01:59Z
day: '09'
ddc:
- '000'
degree_awarded: PhD
department:
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doi: 10.15479/AT:ISTA:th_854
ec_funded: 1
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call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
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call_identifier: FWF
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name: Rigorous Systems Engineering
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call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
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publication_status: published
publisher: Institute of Science and Technology Austria
publist_id: '6828'
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related_material:
record:
- id: '1071'
relation: part_of_dissertation
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- id: '1604'
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relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
title: Algorithmic advances in program analysis and their applications
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short: CC BY-ND (4.0)
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
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...
---
_id: '512'
abstract:
- lang: eng
text: 'The fixation probability is the probability that a new mutant introduced
in a homogeneous population eventually takes over the entire population. The fixation
probability is a fundamental quantity of natural selection, and known to depend
on the population structure. Amplifiers of natural selection are population structures
which increase the fixation probability of advantageous mutants, as compared to
the baseline case of well-mixed populations. In this work we focus on symmetric
population structures represented as undirected graphs. In the regime of undirected
graphs, the strongest amplifier known has been the Star graph, and the existence
of undirected graphs with stronger amplification properties has remained open
for over a decade. In this work we present the Comet and Comet-swarm families
of undirected graphs. We show that for a range of fitness values of the mutants,
the Comet and Cometswarm graphs have fixation probability strictly larger than
the fixation probability of the Star graph, for fixed population size and at the
limit of large populations, respectively. '
article_number: '82'
article_processing_charge: No
author:
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. Amplification on undirected
population structures: Comets beat stars. Scientific Reports. 2017;7(1).
doi:10.1038/s41598-017-00107-w'
apa: 'Pavlogiannis, A., Tkadlec, J., Chatterjee, K., & Nowak, M. (2017). Amplification
on undirected population structures: Comets beat stars. Scientific Reports.
Nature Publishing Group. https://doi.org/10.1038/s41598-017-00107-w'
chicago: 'Pavlogiannis, Andreas, Josef Tkadlec, Krishnendu Chatterjee, and Martin
Nowak. “Amplification on Undirected Population Structures: Comets Beat Stars.”
Scientific Reports. Nature Publishing Group, 2017. https://doi.org/10.1038/s41598-017-00107-w.'
ieee: 'A. Pavlogiannis, J. Tkadlec, K. Chatterjee, and M. Nowak, “Amplification
on undirected population structures: Comets beat stars,” Scientific Reports,
vol. 7, no. 1. Nature Publishing Group, 2017.'
ista: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. 2017. Amplification on
undirected population structures: Comets beat stars. Scientific Reports. 7(1),
82.'
mla: 'Pavlogiannis, Andreas, et al. “Amplification on Undirected Population Structures:
Comets Beat Stars.” Scientific Reports, vol. 7, no. 1, 82, Nature Publishing
Group, 2017, doi:10.1038/s41598-017-00107-w.'
short: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, M. Nowak, Scientific Reports
7 (2017).
date_created: 2018-12-11T11:46:53Z
date_published: 2017-03-06T00:00:00Z
date_updated: 2023-02-23T12:26:57Z
day: '06'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1038/s41598-017-00107-w
ec_funded: 1
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- access_level: open_access
checksum: 7d05cbdd914e194a019c0f91fb64e9a8
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creator: system
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date_updated: 2020-07-14T12:46:36Z
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