---
_id: '434'
abstract:
- lang: eng
text: In this paper, we present a formal model-driven design approach to establish
a safety-assured implementation of multifunction vehicle bus controller (MVBC),
which controls the data transmission among the devices of the vehicle. First,
the generic models and safety requirements described in International Electrotechnical
Commission Standard 61375 are formalized as time automata and timed computation
tree logic formulas, respectively. With model checking tool Uppaal, we verify
whether or not the constructed timed automata satisfy the formulas and several
logic inconsistencies in the original standard are detected and corrected. Then,
we apply the code generation tool Times to generate C code from the verified model,
which is later synthesized into a real MVBC chip, with some handwriting glue code.
Furthermore, the runtime verification tool RMOR is applied on the integrated code,
to verify some safety requirements that cannot be formalized on the timed automata.
For evaluation, we compare the proposed approach with existing MVBC design methods,
such as BeagleBone, Galsblock, and Simulink. Experiments show that more ambiguousness
or bugs in the standard are detected during Uppaal verification, and the generated
code of Times outperforms the C code generated by others in terms of the synthesized
binary code size. The errors in the standard have been confirmed and the resulting
MVBC has been deployed in the real train communication network.
article_processing_charge: No
author:
- first_name: Yu
full_name: Jiang, Yu
last_name: Jiang
- first_name: Han
full_name: Liu, Han
last_name: Liu
- first_name: Huobing
full_name: Song, Huobing
last_name: Song
- first_name: Hui
full_name: Kong, Hui
id: 3BDE25AA-F248-11E8-B48F-1D18A9856A87
last_name: Kong
orcid: 0000-0002-3066-6941
- first_name: Rui
full_name: Wang, Rui
last_name: Wang
- first_name: Yong
full_name: Guan, Yong
last_name: Guan
- first_name: Lui
full_name: Sha, Lui
last_name: Sha
citation:
ama: Jiang Y, Liu H, Song H, et al. Safety-assured model-driven design of the multifunction
vehicle bus controller. IEEE Transactions on Intelligent Transportation Systems.
2018;19(10):3320-3333. doi:10.1109/TITS.2017.2778077
apa: Jiang, Y., Liu, H., Song, H., Kong, H., Wang, R., Guan, Y., & Sha, L. (2018).
Safety-assured model-driven design of the multifunction vehicle bus controller.
IEEE Transactions on Intelligent Transportation Systems. IEEE. https://doi.org/10.1109/TITS.2017.2778077
chicago: Jiang, Yu, Han Liu, Huobing Song, Hui Kong, Rui Wang, Yong Guan, and Lui
Sha. “Safety-Assured Model-Driven Design of the Multifunction Vehicle Bus Controller.”
IEEE Transactions on Intelligent Transportation Systems. IEEE, 2018. https://doi.org/10.1109/TITS.2017.2778077.
ieee: Y. Jiang et al., “Safety-assured model-driven design of the multifunction
vehicle bus controller,” IEEE Transactions on Intelligent Transportation Systems,
vol. 19, no. 10. IEEE, pp. 3320–3333, 2018.
ista: Jiang Y, Liu H, Song H, Kong H, Wang R, Guan Y, Sha L. 2018. Safety-assured
model-driven design of the multifunction vehicle bus controller. IEEE Transactions
on Intelligent Transportation Systems. 19(10), 3320–3333.
mla: Jiang, Yu, et al. “Safety-Assured Model-Driven Design of the Multifunction
Vehicle Bus Controller.” IEEE Transactions on Intelligent Transportation Systems,
vol. 19, no. 10, IEEE, 2018, pp. 3320–33, doi:10.1109/TITS.2017.2778077.
short: Y. Jiang, H. Liu, H. Song, H. Kong, R. Wang, Y. Guan, L. Sha, IEEE Transactions
on Intelligent Transportation Systems 19 (2018) 3320–3333.
date_created: 2018-12-11T11:46:27Z
date_published: 2018-01-01T00:00:00Z
date_updated: 2023-09-18T08:12:49Z
day: '01'
department:
- _id: ToHe
doi: 10.1109/TITS.2017.2778077
external_id:
isi:
- '000446651100020'
intvolume: ' 19'
isi: 1
issue: '10'
language:
- iso: eng
month: '01'
oa_version: None
page: 3320 - 3333
publication: IEEE Transactions on Intelligent Transportation Systems
publication_status: published
publisher: IEEE
publist_id: '7389'
quality_controlled: '1'
related_material:
record:
- id: '1205'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Safety-assured model-driven design of the multifunction vehicle bus controller
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 19
year: '2018'
...
---
_id: '1066'
abstract:
- lang: eng
text: "Simulation is an attractive alternative to language inclusion for automata
as it is an under-approximation of language inclusion, but usually has much lower
complexity. Simulation has also been extended in two orthogonal directions, namely,
(1) fair simulation, for simulation over specified set of infinite runs; and (2)
quantitative simulation, for simulation between weighted automata. While fair
trace inclusion is PSPACE-complete, fair simulation can be computed in polynomial
time. For weighted automata, the (quantitative) language inclusion problem is
undecidable in general, whereas the (quantitative) simulation reduces to quantitative
games, which admit pseudo-polynomial time algorithms.\r\n\r\nIn this work, we
study (quantitative) simulation for weighted automata with Büchi acceptance conditions,
i.e., we generalize fair simulation from non-weighted automata to weighted automata.
We show that imposing Büchi acceptance conditions on weighted automata changes
many fundamental properties of the simulation games, yet they still admit pseudo-polynomial
time algorithms."
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: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Jan
full_name: Otop, Jan
id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
last_name: Otop
- first_name: Yaron
full_name: Velner, Yaron
last_name: Velner
citation:
ama: Chatterjee K, Henzinger TA, Otop J, Velner Y. Quantitative fair simulation
games. Information and Computation. 2017;254(2):143-166. doi:10.1016/j.ic.2016.10.006
apa: Chatterjee, K., Henzinger, T. A., Otop, J., & Velner, Y. (2017). Quantitative
fair simulation games. Information and Computation. Elsevier. https://doi.org/10.1016/j.ic.2016.10.006
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Jan Otop, and Yaron Velner.
“Quantitative Fair Simulation Games.” Information and Computation. Elsevier,
2017. https://doi.org/10.1016/j.ic.2016.10.006.
ieee: K. Chatterjee, T. A. Henzinger, J. Otop, and Y. Velner, “Quantitative fair
simulation games,” Information and Computation, vol. 254, no. 2. Elsevier,
pp. 143–166, 2017.
ista: Chatterjee K, Henzinger TA, Otop J, Velner Y. 2017. Quantitative fair simulation
games. Information and Computation. 254(2), 143–166.
mla: Chatterjee, Krishnendu, et al. “Quantitative Fair Simulation Games.” Information
and Computation, vol. 254, no. 2, Elsevier, 2017, pp. 143–66, doi:10.1016/j.ic.2016.10.006.
short: K. Chatterjee, T.A. Henzinger, J. Otop, Y. Velner, Information and Computation
254 (2017) 143–166.
date_created: 2018-12-11T11:49:58Z
date_published: 2017-06-01T00:00:00Z
date_updated: 2023-09-20T12:07:48Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1016/j.ic.2016.10.006
ec_funded: 1
external_id:
isi:
- '000402025600002'
intvolume: ' 254'
isi: 1
issue: '2'
language:
- iso: eng
month: '06'
oa_version: None
page: 143 - 166
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _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: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '6322'
quality_controlled: '1'
related_material:
record:
- id: '5428'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Quantitative fair simulation games
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 254
year: '2017'
...
---
_id: '1116'
abstract:
- lang: eng
text: "Time-triggered switched networks are a deterministic communication infrastructure
used by real-time distributed embedded systems. Due to the criticality of the
applications running over them, developers need to ensure that end-to-end communication
is dependable and predictable. Traditional approaches assume static networks that
are not flexible to changes caused by reconfigurations or, more importantly, faults,
which are dealt with in the application using redundancy. We adopt the concept
of handling faults in the switches from non-real-time networks while maintaining
the required predictability. \r\n\r\nWe study a class of forwarding schemes that
can handle various types of failures. We consider probabilistic failures. We study
a class of forwarding schemes that can handle various types of failures. We consider
probabilistic failures. For a given network with a forwarding scheme and a constant
ℓ, we compute the {\\em score} of the scheme, namely the probability (induced
by faults) that at least ℓ messages arrive on time. We reduce the scoring problem
to a reachability problem on a Markov chain with a "product-like" structure.
Its special structure allows us to reason about it symbolically, and reduce the
scoring problem to #SAT. Our solution is generic and can be adapted to different
networks and other contexts. Also, we show the computational complexity of the
scoring problem is #P-complete, and we study methods to estimate the score. We
evaluate the effectiveness of our techniques with an implementation. "
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Guy
full_name: Avni, Guy
id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
last_name: Avni
orcid: 0000-0001-5588-8287
- first_name: Shubham
full_name: Goel, Shubham
last_name: Goel
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Guillermo
full_name: Rodríguez Navas, Guillermo
last_name: Rodríguez Navas
citation:
ama: 'Avni G, Goel S, Henzinger TA, Rodríguez Navas G. Computing scores of forwarding
schemes in switched networks with probabilistic faults. In: Vol 10206. Springer;
2017:169-187. doi:10.1007/978-3-662-54580-5_10'
apa: 'Avni, G., Goel, S., Henzinger, T. A., & Rodríguez Navas, G. (2017). Computing
scores of forwarding schemes in switched networks with probabilistic faults (Vol.
10206, pp. 169–187). Presented at the TACAS: Tools and Algorithms for the Construction
and Analysis of Systems, Uppsala, Sweden: Springer. https://doi.org/10.1007/978-3-662-54580-5_10'
chicago: Avni, Guy, Shubham Goel, Thomas A Henzinger, and Guillermo Rodríguez Navas.
“Computing Scores of Forwarding Schemes in Switched Networks with Probabilistic
Faults,” 10206:169–87. Springer, 2017. https://doi.org/10.1007/978-3-662-54580-5_10.
ieee: 'G. Avni, S. Goel, T. A. Henzinger, and G. Rodríguez Navas, “Computing scores
of forwarding schemes in switched networks with probabilistic faults,” presented
at the TACAS: Tools and Algorithms for the Construction and Analysis of Systems,
Uppsala, Sweden, 2017, vol. 10206, pp. 169–187.'
ista: 'Avni G, Goel S, Henzinger TA, Rodríguez Navas G. 2017. Computing scores of
forwarding schemes in switched networks with probabilistic faults. TACAS: Tools
and Algorithms for the Construction and Analysis of Systems, LNCS, vol. 10206,
169–187.'
mla: Avni, Guy, et al. Computing Scores of Forwarding Schemes in Switched Networks
with Probabilistic Faults. Vol. 10206, Springer, 2017, pp. 169–87, doi:10.1007/978-3-662-54580-5_10.
short: G. Avni, S. Goel, T.A. Henzinger, G. Rodríguez Navas, in:, Springer, 2017,
pp. 169–187.
conference:
end_date: 2017-04-29
location: Uppsala, Sweden
name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems'
start_date: 2017-04-22
date_created: 2018-12-11T11:50:14Z
date_published: 2017-03-31T00:00:00Z
date_updated: 2023-09-20T11:32:43Z
day: '31'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/978-3-662-54580-5_10
external_id:
isi:
- '000440733400010'
file:
- access_level: open_access
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:08:37Z
date_updated: 2018-12-12T10:08:37Z
file_id: '4698'
file_name: IST-2017-758-v1+1_tacas-cr.pdf
file_size: 321800
relation: main_file
file_date_updated: 2018-12-12T10:08:37Z
has_accepted_license: '1'
intvolume: ' 10206'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Submitted Version
page: 169 - 187
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication_identifier:
issn:
- '03029743'
publication_status: published
publisher: Springer
publist_id: '6246'
pubrep_id: '758'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Computing scores of forwarding schemes in switched networks with probabilistic
faults
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 10206
year: '2017'
...
---
_id: '1155'
abstract:
- lang: eng
text: This dissertation concerns the automatic verification of probabilistic systems
and programs with arrays by statistical and logical methods. Although statistical
and logical methods are different in nature, we show that they can be successfully
combined for system analysis. In the first part of the dissertation we present
a new statistical algorithm for the verification of probabilistic systems with
respect to unbounded properties, including linear temporal logic. Our algorithm
often performs faster than the previous approaches, and at the same time requires
less information about the system. In addition, our method can be generalized
to unbounded quantitative properties such as mean-payoff bounds. In the second
part, we introduce two techniques for comparing probabilistic systems. Probabilistic
systems are typically compared using the notion of equivalence, which requires
the systems to have the equal probability of all behaviors. However, this notion
is often too strict, since probabilities are typically only empirically estimated,
and any imprecision may break the relation between processes. On the one hand,
we propose to replace the Boolean notion of equivalence by a quantitative distance
of similarity. For this purpose, we introduce a statistical framework for estimating
distances between Markov chains based on their simulation runs, and we investigate
which distances can be approximated in our framework. On the other hand, we propose
to compare systems with respect to a new qualitative logic, which expresses that
behaviors occur with probability one or a positive probability. This qualitative
analysis is robust with respect to modeling errors and applicable to many domains.
In the last part, we present a new quantifier-free logic for integer arrays, which
allows us to express counting. Counting properties are prevalent in array-manipulating
programs, however they cannot be expressed in the quantified fragments of the
theory of arrays. We present a decision procedure for our logic, and provide several
complexity results.
acknowledgement: ' First of all, I want to thank my advisor, prof. Thomas A. Henzinger,
for his guidance during my PhD program. I am grateful for the freedom I was given
to pursue my research interests, and his continuous support. Working with prof.
Henzinger was a truly inspiring experience and taught me what it means to be a scientist.
I want to express my gratitude to my collaborators: Nikola Beneš, Krishnendu Chatterjee,
Martin Chmelík, Ashutosh Gupta, Willibald Krenn, Jan Kˇretínský, Dejan Nickovic,
Andrey Kupriyanov, and Tatjana Petrov. I have learned a great deal from my collaborators,
and without their help this thesis would not be possible. In addition, I want to
thank the members of my thesis committee: Dirk Beyer, Dejan Nickovic, and Georg
Weissenbacher for their advice and reviewing this dissertation. I would especially
like to acknowledge the late Helmut Veith, who was a member of my committee. I will
remember Helmut for his kindness, enthusiasm, and wit, as well as for being an inspiring
scientist. Finally, I would like to thank my colleagues for making my stay at IST
such a pleasant experience: Guy Avni, Sergiy Bogomolov, Ventsislav Chonev, Rasmus
Ibsen-Jensen, Mirco Giacobbe, Bernhard Kragl, Hui Kong, Petr Novotný, Jan Otop,
Andreas Pavlogiannis, Tantjana Petrov, Arjun Radhakrishna, Jakob Ruess, Thorsten
Tarrach, as well as other members of groups Henzinger and Chatterjee. '
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Przemyslaw
full_name: Daca, Przemyslaw
id: 49351290-F248-11E8-B48F-1D18A9856A87
last_name: Daca
citation:
ama: Daca P. Statistical and logical methods for property checking. 2017. doi:10.15479/AT:ISTA:TH_730
apa: Daca, P. (2017). Statistical and logical methods for property checking.
Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:TH_730
chicago: Daca, Przemyslaw. “Statistical and Logical Methods for Property Checking.”
Institute of Science and Technology Austria, 2017. https://doi.org/10.15479/AT:ISTA:TH_730.
ieee: P. Daca, “Statistical and logical methods for property checking,” Institute
of Science and Technology Austria, 2017.
ista: Daca P. 2017. Statistical and logical methods for property checking. Institute
of Science and Technology Austria.
mla: Daca, Przemyslaw. Statistical and Logical Methods for Property Checking.
Institute of Science and Technology Austria, 2017, doi:10.15479/AT:ISTA:TH_730.
short: P. Daca, Statistical and Logical Methods for Property Checking, Institute
of Science and Technology Austria, 2017.
date_created: 2018-12-11T11:50:27Z
date_published: 2017-01-02T00:00:00Z
date_updated: 2023-09-07T11:58:34Z
day: '02'
ddc:
- '004'
- '005'
degree_awarded: PhD
department:
- _id: ToHe
doi: 10.15479/AT:ISTA:TH_730
ec_funded: 1
file:
- access_level: open_access
checksum: 1406a681cb737508234fde34766be2c2
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:11:26Z
date_updated: 2020-07-14T12:44:34Z
file_id: '4880'
file_name: IST-2017-730-v1+1_Statistical_and_Logical_Methods_for_Property_Checking.pdf
file_size: 1028586
relation: main_file
file_date_updated: 2020-07-14T12:44:34Z
has_accepted_license: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: '163'
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication_identifier:
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
publist_id: '6203'
pubrep_id: '730'
related_material:
record:
- id: '1093'
relation: part_of_dissertation
status: public
- id: '1230'
relation: part_of_dissertation
status: public
- id: '1234'
relation: part_of_dissertation
status: public
- id: '1391'
relation: part_of_dissertation
status: public
- id: '1501'
relation: part_of_dissertation
status: public
- id: '1502'
relation: part_of_dissertation
status: public
- id: '2063'
relation: part_of_dissertation
status: public
- id: '2167'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
title: Statistical and logical methods for property checking
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2017'
...
---
_id: '663'
abstract:
- lang: eng
text: 'In this paper, we propose an approach to automatically compute invariant
clusters for nonlinear semialgebraic hybrid systems. An invariant cluster for
an ordinary differential equation (ODE) is a multivariate polynomial invariant
g(u→, x→) = 0, parametric in u→, which can yield an infinite number of concrete
invariants by assigning different values to u→ so that every trajectory of the
system can be overapproximated precisely by the intersection of a group of concrete
invariants. For semialgebraic systems, which involve ODEs with multivariate polynomial
right-hand sides, given a template multivariate polynomial g(u→, x→), an invariant
cluster can be obtained by first computing the remainder of the Lie derivative
of g(u→, x→) divided by g(u→, x→) and then solving the system of polynomial equations
obtained from the coefficients of the remainder. Based on invariant clusters and
sum-of-squares (SOS) programming, we present a new method for the safety verification
of hybrid systems. Experiments on nonlinear benchmark systems from biology and
control theory show that our approach is efficient. '
author:
- first_name: Hui
full_name: Kong, Hui
id: 3BDE25AA-F248-11E8-B48F-1D18A9856A87
last_name: Kong
orcid: 0000-0002-3066-6941
- first_name: Sergiy
full_name: Bogomolov, Sergiy
last_name: Bogomolov
orcid: 0000-0002-0686-0365
- first_name: Christian
full_name: Schilling, Christian
last_name: Schilling
- first_name: Yu
full_name: Jiang, Yu
last_name: Jiang
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
citation:
ama: 'Kong H, Bogomolov S, Schilling C, Jiang Y, Henzinger TA. Safety verification
of nonlinear hybrid systems based on invariant clusters. In: Proceedings of
the 20th International Conference on Hybrid Systems. ACM; 2017:163-172. doi:10.1145/3049797.3049814'
apa: 'Kong, H., Bogomolov, S., Schilling, C., Jiang, Y., & Henzinger, T. A.
(2017). Safety verification of nonlinear hybrid systems based on invariant clusters.
In Proceedings of the 20th International Conference on Hybrid Systems (pp.
163–172). Pittsburgh, PA, United States: ACM. https://doi.org/10.1145/3049797.3049814'
chicago: Kong, Hui, Sergiy Bogomolov, Christian Schilling, Yu Jiang, and Thomas
A Henzinger. “Safety Verification of Nonlinear Hybrid Systems Based on Invariant
Clusters.” In Proceedings of the 20th International Conference on Hybrid Systems,
163–72. ACM, 2017. https://doi.org/10.1145/3049797.3049814.
ieee: H. Kong, S. Bogomolov, C. Schilling, Y. Jiang, and T. A. Henzinger, “Safety
verification of nonlinear hybrid systems based on invariant clusters,” in Proceedings
of the 20th International Conference on Hybrid Systems, Pittsburgh, PA, United
States, 2017, pp. 163–172.
ista: 'Kong H, Bogomolov S, Schilling C, Jiang Y, Henzinger TA. 2017. Safety verification
of nonlinear hybrid systems based on invariant clusters. Proceedings of the 20th
International Conference on Hybrid Systems. HSCC: Hybrid Systems Computation and
Control , 163–172.'
mla: Kong, Hui, et al. “Safety Verification of Nonlinear Hybrid Systems Based on
Invariant Clusters.” Proceedings of the 20th International Conference on Hybrid
Systems, ACM, 2017, pp. 163–72, doi:10.1145/3049797.3049814.
short: H. Kong, S. Bogomolov, C. Schilling, Y. Jiang, T.A. Henzinger, in:, Proceedings
of the 20th International Conference on Hybrid Systems, ACM, 2017, pp. 163–172.
conference:
end_date: 2017-04-20
location: Pittsburgh, PA, United States
name: 'HSCC: Hybrid Systems Computation and Control '
start_date: 2017-04-18
date_created: 2018-12-11T11:47:47Z
date_published: 2017-04-01T00:00:00Z
date_updated: 2021-01-12T08:08:17Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1145/3049797.3049814
file:
- access_level: open_access
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date_updated: 2020-07-14T12:47:34Z
file_id: '4873'
file_name: IST-2017-817-v1+1_p163-kong.pdf
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language:
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month: '04'
oa: 1
oa_version: Submitted Version
page: 163 - 172
publication: Proceedings of the 20th International Conference on Hybrid Systems
publication_identifier:
isbn:
- 978-145034590-3
publication_status: published
publisher: ACM
publist_id: '7067'
pubrep_id: '817'
quality_controlled: '1'
scopus_import: 1
status: public
title: Safety verification of nonlinear hybrid systems based on invariant clusters
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2017'
...
---
_id: '711'
abstract:
- lang: eng
text: Nested weighted automata (NWA) present a robust and convenient automata-theoretic
formalism for quantitative specifications. Previous works have considered NWA
that processed input words only in the forward direction. It is natural to allow
the automata to process input words backwards as well, for example, to measure
the maximal or average time between a response and the preceding request. We therefore
introduce and study bidirectional NWA that can process input words in both directions.
First, we show that bidirectional NWA can express interesting quantitative properties
that are not expressible by forward-only NWA. Second, for the fundamental decision
problems of emptiness and universality, we establish decidability and complexity
results for the new framework which match the best-known results for the special
case of forward-only NWA. Thus, for NWA, the increased expressiveness of bidirectionality
is achieved at no additional computational complexity. This is in stark contrast
to the unweighted case, where bidirectional finite automata are no more expressive
but exponentially more succinct than their forward-only counterparts.
alternative_title:
- LIPIcs
article_number: '5'
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Jan
full_name: Otop, Jan
last_name: Otop
citation:
ama: 'Chatterjee K, Henzinger TA, Otop J. Bidirectional nested weighted automata.
In: Vol 85. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:10.4230/LIPIcs.CONCUR.2017.5'
apa: 'Chatterjee, K., Henzinger, T. A., & Otop, J. (2017). Bidirectional nested
weighted automata (Vol. 85). Presented at the 28th International Conference on
Concurrency Theory, CONCUR, Berlin, Germany: Schloss Dagstuhl - Leibniz-Zentrum
für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2017.5'
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Bidirectional
Nested Weighted Automata,” Vol. 85. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2017. https://doi.org/10.4230/LIPIcs.CONCUR.2017.5.
ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, “Bidirectional nested weighted
automata,” presented at the 28th International Conference on Concurrency Theory,
CONCUR, Berlin, Germany, 2017, vol. 85.
ista: Chatterjee K, Henzinger TA, Otop J. 2017. Bidirectional nested weighted automata.
28th International Conference on Concurrency Theory, CONCUR, LIPIcs, vol. 85,
5.
mla: Chatterjee, Krishnendu, et al. Bidirectional Nested Weighted Automata.
Vol. 85, 5, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:10.4230/LIPIcs.CONCUR.2017.5.
short: K. Chatterjee, T.A. Henzinger, J. Otop, in:, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2017.
conference:
end_date: 2017-09-08
location: Berlin, Germany
name: 28th International Conference on Concurrency Theory, CONCUR
start_date: 2017-09-05
date_created: 2018-12-11T11:48:04Z
date_published: 2017-08-01T00:00:00Z
date_updated: 2021-01-12T08:11:53Z
day: '01'
ddc:
- '004'
- '005'
department:
- _id: KrCh
- _id: ToHe
doi: 10.4230/LIPIcs.CONCUR.2017.5
file:
- access_level: open_access
checksum: d2bda4783821a6358333fe27f11f4737
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:08:02Z
date_updated: 2020-07-14T12:47:49Z
file_id: '4661'
file_name: IST-2017-886-v1+1_LIPIcs-CONCUR-2017-5.pdf
file_size: 570294
relation: main_file
file_date_updated: 2020-07-14T12:47:49Z
has_accepted_license: '1'
intvolume: ' 85'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
publication_identifier:
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '6976'
pubrep_id: '886'
quality_controlled: '1'
scopus_import: 1
status: public
title: Bidirectional nested weighted automata
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 85
year: '2017'
...
---
_id: '743'
abstract:
- lang: eng
text: "This special issue of the Journal on Formal Methods in System Design is dedicated
to Prof. Helmut Veith, who unexpectedly passed away in March 2016. Helmut Veith
was a brilliant researcher, inspiring collaborator, passionate mentor, generous
friend, and valued member of the formal methods community. Helmut was not only
known for his numerous and influential contributions in the field of automated
verification (most prominently his work on Counterexample-Guided Abstraction Refinement
[1,2]), but also for his untiring and passionate efforts for the logic community:
he co-organized the Vienna Summer of Logic (an event comprising twelve conferences
and numerous workshops which attracted thousands of researchers from all over
the world), he initiated the Vienna Center for Logic and Algorithms (which promotes
international collaboration on logic and algorithms and organizes outreach events
such as the LogicLounge), and he coordinated the Doctoral Program on Logical Methods
in Computer Science at TU Wien (currently educating more than 40 doctoral students)
and a National Research Network on Rigorous Systems Engineering (uniting fifteen
researchers in Austria to address the challenge of building reliable and safe
computer\r\nsystems). With his enthusiasm and commitment, Helmut completely reshaped
the Austrian research landscape in the field of logic and verification in his
few years as a full professor at TU Wien."
article_processing_charge: No
author:
- first_name: Georg
full_name: Gottlob, Georg
last_name: Gottlob
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Georg
full_name: Weißenbacher, Georg
last_name: Weißenbacher
citation:
ama: Gottlob G, Henzinger TA, Weißenbacher G. Preface of the special issue in memoriam
Helmut Veith. Formal Methods in System Design. 2017;51(2):267-269. doi:10.1007/s10703-017-0307-6
apa: Gottlob, G., Henzinger, T. A., & Weißenbacher, G. (2017). Preface of the
special issue in memoriam Helmut Veith. Formal Methods in System Design.
Springer. https://doi.org/10.1007/s10703-017-0307-6
chicago: Gottlob, Georg, Thomas A Henzinger, and Georg Weißenbacher. “Preface of
the Special Issue in Memoriam Helmut Veith.” Formal Methods in System Design.
Springer, 2017. https://doi.org/10.1007/s10703-017-0307-6.
ieee: G. Gottlob, T. A. Henzinger, and G. Weißenbacher, “Preface of the special
issue in memoriam Helmut Veith,” Formal Methods in System Design, vol.
51, no. 2. Springer, pp. 267–269, 2017.
ista: Gottlob G, Henzinger TA, Weißenbacher G. 2017. Preface of the special issue
in memoriam Helmut Veith. Formal Methods in System Design. 51(2), 267–269.
mla: Gottlob, Georg, et al. “Preface of the Special Issue in Memoriam Helmut Veith.”
Formal Methods in System Design, vol. 51, no. 2, Springer, 2017, pp. 267–69,
doi:10.1007/s10703-017-0307-6.
short: G. Gottlob, T.A. Henzinger, G. Weißenbacher, Formal Methods in System Design
51 (2017) 267–269.
date_created: 2018-12-11T11:48:16Z
date_published: 2017-11-14T00:00:00Z
date_updated: 2023-09-27T12:29:29Z
day: '14'
department:
- _id: ToHe
doi: 10.1007/s10703-017-0307-6
external_id:
isi:
- '000415615600001'
intvolume: ' 51'
isi: 1
issue: '2'
language:
- iso: eng
month: '11'
oa_version: None
page: 267 - 269
publication: Formal Methods in System Design
publication_status: published
publisher: Springer
publist_id: '6924'
quality_controlled: '1'
status: public
title: Preface of the special issue in memoriam Helmut Veith
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 51
year: '2017'
...
---
_id: '465'
abstract:
- lang: eng
text: 'The edit distance between two words w 1 , w 2 is the minimal number of word
operations (letter insertions, deletions, and substitutions) necessary to transform
w 1 to w 2 . The edit distance generalizes to languages L 1 , L 2 , where the
edit distance from L 1 to L 2 is the minimal number k such that for every word
from L 1 there exists a word in L 2 with edit distance at most k . We study the
edit distance computation problem between pushdown automata and their subclasses.
The problem of computing edit distance to a pushdown automaton is undecidable,
and in practice, the interesting question is to compute the edit distance from
a pushdown automaton (the implementation, a standard model for programs with recursion)
to a regular language (the specification). In this work, we present a complete
picture of decidability and complexity for the following problems: (1) deciding
whether, for a given threshold k , the edit distance from a pushdown automaton
to a finite automaton is at most k , and (2) deciding whether the edit distance
from a pushdown automaton to a finite automaton is finite. '
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- 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: Jan
full_name: Otop, Jan
last_name: Otop
citation:
ama: Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. Edit distance for pushdown
automata. Logical Methods in Computer Science. 2017;13(3). doi:10.23638/LMCS-13(3:23)2017
apa: Chatterjee, K., Henzinger, T. A., Ibsen-Jensen, R., & Otop, J. (2017).
Edit distance for pushdown automata. Logical Methods in Computer Science.
International Federation of Computational Logic. https://doi.org/10.23638/LMCS-13(3:23)2017
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Rasmus Ibsen-Jensen, and Jan
Otop. “Edit Distance for Pushdown Automata.” Logical Methods in Computer Science.
International Federation of Computational Logic, 2017. https://doi.org/10.23638/LMCS-13(3:23)2017.
ieee: K. Chatterjee, T. A. Henzinger, R. Ibsen-Jensen, and J. Otop, “Edit distance
for pushdown automata,” Logical Methods in Computer Science, vol. 13, no.
3. International Federation of Computational Logic, 2017.
ista: Chatterjee K, Henzinger TA, Ibsen-Jensen R, Otop J. 2017. Edit distance for
pushdown automata. Logical Methods in Computer Science. 13(3).
mla: Chatterjee, Krishnendu, et al. “Edit Distance for Pushdown Automata.” Logical
Methods in Computer Science, vol. 13, no. 3, International Federation of Computational
Logic, 2017, doi:10.23638/LMCS-13(3:23)2017.
short: K. Chatterjee, T.A. Henzinger, R. Ibsen-Jensen, J. Otop, Logical Methods
in Computer Science 13 (2017).
date_created: 2018-12-11T11:46:37Z
date_published: 2017-09-13T00:00:00Z
date_updated: 2023-02-23T12:26:25Z
day: '13'
ddc:
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.23638/LMCS-13(3:23)2017
ec_funded: 1
file:
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creator: system
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file_size: 279071
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checksum: 08041379ba408d40664f449eb5907a8f
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:14:38Z
date_updated: 2020-07-14T12:46:33Z
file_id: '5091'
file_name: IST-2018-955-v1+1_2017_Chatterjee_Edit_distance.pdf
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relation: main_file
file_date_updated: 2020-07-14T12:46:33Z
has_accepted_license: '1'
intvolume: ' 13'
issue: '3'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nd/4.0/
month: '09'
oa: 1
oa_version: Published Version
project:
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call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
publication: Logical Methods in Computer Science
publication_identifier:
issn:
- '18605974'
publication_status: published
publisher: International Federation of Computational Logic
publist_id: '7356'
pubrep_id: '955'
quality_controlled: '1'
related_material:
record:
- id: '1610'
relation: earlier_version
status: public
- id: '5438'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Edit distance for pushdown automata
tmp:
image: /image/cc_by_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode
name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)
short: CC BY-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 13
year: '2017'
...
---
_id: '467'
abstract:
- lang: eng
text: Recently there has been a significant effort to handle quantitative properties
in formal verification and synthesis. While weighted automata over finite and
infinite words provide a natural and flexible framework to express quantitative
properties, perhaps surprisingly, some basic system properties such as average
response time cannot be expressed using weighted automata or in any other known
decidable formalism. In this work, we introduce nested weighted automata as a
natural extension of weighted automata, which makes it possible to express important
quantitative properties such as average response time. In nested weighted automata,
a master automaton spins off and collects results from weighted slave automata,
each of which computes a quantity along a finite portion of an infinite word.
Nested weighted automata can be viewed as the quantitative analogue of monitor
automata, which are used in runtime verification. We establish an almost-complete
decidability picture for the basic decision problems about nested weighted automata
and illustrate their applicability in several domains. In particular, nested weighted
automata can be used to decide average response time properties.
article_number: '31'
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: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Jan
full_name: Otop, Jan
id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
last_name: Otop
citation:
ama: Chatterjee K, Henzinger TA, Otop J. Nested weighted automata. ACM Transactions
on Computational Logic (TOCL). 2017;18(4). doi:10.1145/3152769
apa: Chatterjee, K., Henzinger, T. A., & Otop, J. (2017). Nested weighted automata.
ACM Transactions on Computational Logic (TOCL). ACM. https://doi.org/10.1145/3152769
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Nested Weighted
Automata.” ACM Transactions on Computational Logic (TOCL). ACM, 2017. https://doi.org/10.1145/3152769.
ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, “Nested weighted automata,” ACM
Transactions on Computational Logic (TOCL), vol. 18, no. 4. ACM, 2017.
ista: Chatterjee K, Henzinger TA, Otop J. 2017. Nested weighted automata. ACM Transactions
on Computational Logic (TOCL). 18(4), 31.
mla: Chatterjee, Krishnendu, et al. “Nested Weighted Automata.” ACM Transactions
on Computational Logic (TOCL), vol. 18, no. 4, 31, ACM, 2017, doi:10.1145/3152769.
short: K. Chatterjee, T.A. Henzinger, J. Otop, ACM Transactions on Computational
Logic (TOCL) 18 (2017).
date_created: 2018-12-11T11:46:38Z
date_published: 2017-12-01T00:00:00Z
date_updated: 2023-02-23T12:26:19Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1145/3152769
ec_funded: 1
external_id:
arxiv:
- '1606.03598'
intvolume: ' 18'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1606.03598
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
- _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: ACM Transactions on Computational Logic (TOCL)
publication_identifier:
issn:
- '15293785'
publication_status: published
publisher: ACM
publist_id: '7354'
quality_controlled: '1'
related_material:
record:
- id: '1656'
relation: earlier_version
status: public
- id: '5415'
relation: earlier_version
status: public
- id: '5436'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Nested weighted automata
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 18
year: '2017'
...
---
_id: '471'
abstract:
- lang: eng
text: 'We present a new algorithm for the statistical model checking of Markov chains
with respect to unbounded temporal properties, including full linear temporal
logic. The main idea is that we monitor each simulation run on the fly, in order
to detect quickly if a bottom strongly connected component is entered with high
probability, in which case the simulation run can be terminated early. As a result,
our simulation runs are often much shorter than required by termination bounds
that are computed a priori for a desired level of confidence on a large state
space. In comparison to previous algorithms for statistical model checking our
method is not only faster in many cases but also requires less information about
the system, namely, only the minimum transition probability that occurs in the
Markov chain. In addition, our method can be generalised to unbounded quantitative
properties such as mean-payoff bounds. '
article_number: '12'
author:
- first_name: Przemyslaw
full_name: Daca, Przemyslaw
id: 49351290-F248-11E8-B48F-1D18A9856A87
last_name: Daca
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Jan
full_name: Kretinsky, Jan
id: 44CEF464-F248-11E8-B48F-1D18A9856A87
last_name: Kretinsky
orcid: 0000-0002-8122-2881
- first_name: Tatjana
full_name: Petrov, Tatjana
id: 3D5811FC-F248-11E8-B48F-1D18A9856A87
last_name: Petrov
orcid: 0000-0002-9041-0905
citation:
ama: Daca P, Henzinger TA, Kretinsky J, Petrov T. Faster statistical model checking
for unbounded temporal properties. ACM Transactions on Computational Logic
(TOCL). 2017;18(2). doi:10.1145/3060139
apa: Daca, P., Henzinger, T. A., Kretinsky, J., & Petrov, T. (2017). Faster
statistical model checking for unbounded temporal properties. ACM Transactions
on Computational Logic (TOCL). ACM. https://doi.org/10.1145/3060139
chicago: Daca, Przemyslaw, Thomas A Henzinger, Jan Kretinsky, and Tatjana Petrov.
“Faster Statistical Model Checking for Unbounded Temporal Properties.” ACM
Transactions on Computational Logic (TOCL). ACM, 2017. https://doi.org/10.1145/3060139.
ieee: P. Daca, T. A. Henzinger, J. Kretinsky, and T. Petrov, “Faster statistical
model checking for unbounded temporal properties,” ACM Transactions on Computational
Logic (TOCL), vol. 18, no. 2. ACM, 2017.
ista: Daca P, Henzinger TA, Kretinsky J, Petrov T. 2017. Faster statistical model
checking for unbounded temporal properties. ACM Transactions on Computational
Logic (TOCL). 18(2), 12.
mla: Daca, Przemyslaw, et al. “Faster Statistical Model Checking for Unbounded Temporal
Properties.” ACM Transactions on Computational Logic (TOCL), vol. 18, no.
2, 12, ACM, 2017, doi:10.1145/3060139.
short: P. Daca, T.A. Henzinger, J. Kretinsky, T. Petrov, ACM Transactions on Computational
Logic (TOCL) 18 (2017).
date_created: 2018-12-11T11:46:39Z
date_published: 2017-05-01T00:00:00Z
date_updated: 2023-02-21T16:48:11Z
day: '01'
department:
- _id: ToHe
doi: 10.1145/3060139
ec_funded: 1
intvolume: ' 18'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1504.05739
month: '05'
oa: 1
oa_version: Submitted Version
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: ACM Transactions on Computational Logic (TOCL)
publication_identifier:
issn:
- '15293785'
publication_status: published
publisher: ACM
publist_id: '7349'
quality_controlled: '1'
related_material:
record:
- id: '1234'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Faster statistical model checking for unbounded temporal properties
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 18
year: '2017'
...
---
_id: '549'
abstract:
- lang: eng
text: Model checking is usually based on a comprehensive traversal of the state
space. Causality-based model checking is a radically different approach that instead
analyzes the cause-effect relationships in a program. We give an overview on a
new class of model checking algorithms that capture the causal relationships in
a special data structure called concurrent traces. Concurrent traces identify
key events in an execution history and link them through their cause-effect relationships.
The model checker builds a tableau of concurrent traces, where the case splits
represent different causal explanations of a hypothetical error. Causality-based
model checking has been implemented in the ARCTOR tool, and applied to previously
intractable multi-threaded benchmarks.
alternative_title:
- EPTCS
article_processing_charge: No
author:
- first_name: Bernd
full_name: Finkbeiner, Bernd
last_name: Finkbeiner
- first_name: Andrey
full_name: Kupriyanov, Andrey
id: 2C311BF8-F248-11E8-B48F-1D18A9856A87
last_name: Kupriyanov
citation:
ama: 'Finkbeiner B, Kupriyanov A. Causality-based model checking. In: Electronic
Proceedings in Theoretical Computer Science. Vol 259. Open Publishing Association;
2017:31-38. doi:10.4204/EPTCS.259.3'
apa: 'Finkbeiner, B., & Kupriyanov, A. (2017). Causality-based model checking.
In Electronic Proceedings in Theoretical Computer Science (Vol. 259, pp.
31–38). Uppsala, Sweden: Open Publishing Association. https://doi.org/10.4204/EPTCS.259.3'
chicago: Finkbeiner, Bernd, and Andrey Kupriyanov. “Causality-Based Model Checking.”
In Electronic Proceedings in Theoretical Computer Science, 259:31–38. Open
Publishing Association, 2017. https://doi.org/10.4204/EPTCS.259.3.
ieee: B. Finkbeiner and A. Kupriyanov, “Causality-based model checking,” in Electronic
Proceedings in Theoretical Computer Science, Uppsala, Sweden, 2017, vol. 259,
pp. 31–38.
ista: 'Finkbeiner B, Kupriyanov A. 2017. Causality-based model checking. Electronic
Proceedings in Theoretical Computer Science. CREST: Causal Reasoning for Embedded
and Safety-Critical Systems Technologies, EPTCS, vol. 259, 31–38.'
mla: Finkbeiner, Bernd, and Andrey Kupriyanov. “Causality-Based Model Checking.”
Electronic Proceedings in Theoretical Computer Science, vol. 259, Open
Publishing Association, 2017, pp. 31–38, doi:10.4204/EPTCS.259.3.
short: B. Finkbeiner, A. Kupriyanov, in:, Electronic Proceedings in Theoretical
Computer Science, Open Publishing Association, 2017, pp. 31–38.
conference:
end_date: 2017-04-29
location: Uppsala, Sweden
name: 'CREST: Causal Reasoning for Embedded and Safety-Critical Systems Technologies'
start_date: 2017-04-29
date_created: 2018-12-11T11:47:07Z
date_published: 2017-10-10T00:00:00Z
date_updated: 2023-10-17T12:02:46Z
day: '10'
ddc:
- '004'
department:
- _id: ToHe
doi: 10.4204/EPTCS.259.3
file:
- access_level: open_access
checksum: 6274f6c0da3376a7b079180d81568518
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:12:21Z
date_updated: 2020-07-14T12:47:00Z
file_id: '4939'
file_name: IST-2018-925-v1+1_1710.03391v1.pdf
file_size: 209294
relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: ' 259'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1710.03391v1
month: '10'
oa: 1
oa_version: Submitted Version
page: 31 - 38
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication: Electronic Proceedings in Theoretical Computer Science
publication_identifier:
issn:
- 2075-2180
publication_status: published
publisher: Open Publishing Association
publist_id: '7264'
pubrep_id: '925'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Causality-based model checking
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 259
year: '2017'
...
---
_id: '625'
abstract:
- lang: eng
text: In the analysis of reactive systems a quantitative objective assigns a real
value to every trace of the system. The value decision problem for a quantitative
objective requires a trace whose value is at least a given threshold, and the
exact value decision problem requires a trace whose value is exactly the threshold.
We compare the computational complexity of the value and exact value decision
problems for classical quantitative objectives, such as sum, discounted sum, energy,
and mean-payoff for two standard models of reactive systems, namely, graphs and
graph games.
acknowledgement: 'This research was supported in part by the Austrian Science Fund
(FWF) under grants S11402-N23 and S11407-N23 (RiSE/SHiNE), and Z211-N23 (Wittgenstein
Award), ERC Start grant (279307: Graph Games), Vienna Science and Technology Fund
(WWTF) through project ICT15-003.'
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: Laurent
full_name: Doyen, Laurent
last_name: Doyen
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
citation:
ama: 'Chatterjee K, Doyen L, Henzinger TA. The cost of exactness in quantitative
reachability. In: Aceto L, Bacci G, Ingólfsdóttir A, Legay A, Mardare R, eds.
Models, Algorithms, Logics and Tools. Vol 10460. Theoretical Computer Science
and General Issues. Springer; 2017:367-381. doi:10.1007/978-3-319-63121-9_18'
apa: Chatterjee, K., Doyen, L., & Henzinger, T. A. (2017). The cost of exactness
in quantitative reachability. In L. Aceto, G. Bacci, A. Ingólfsdóttir, A. Legay,
& R. Mardare (Eds.), Models, Algorithms, Logics and Tools (Vol. 10460,
pp. 367–381). Springer. https://doi.org/10.1007/978-3-319-63121-9_18
chicago: Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. “The Cost
of Exactness in Quantitative Reachability.” In Models, Algorithms, Logics and
Tools, edited by Luca Aceto, Giorgio Bacci, Anna Ingólfsdóttir, Axel Legay,
and Radu Mardare, 10460:367–81. Theoretical Computer Science and General Issues.
Springer, 2017. https://doi.org/10.1007/978-3-319-63121-9_18.
ieee: K. Chatterjee, L. Doyen, and T. A. Henzinger, “The cost of exactness in quantitative
reachability,” in Models, Algorithms, Logics and Tools, vol. 10460, L.
Aceto, G. Bacci, A. Ingólfsdóttir, A. Legay, and R. Mardare, Eds. Springer, 2017,
pp. 367–381.
ista: 'Chatterjee K, Doyen L, Henzinger TA. 2017.The cost of exactness in quantitative
reachability. In: Models, Algorithms, Logics and Tools. LNCS, vol. 10460, 367–381.'
mla: Chatterjee, Krishnendu, et al. “The Cost of Exactness in Quantitative Reachability.”
Models, Algorithms, Logics and Tools, edited by Luca Aceto et al., vol.
10460, Springer, 2017, pp. 367–81, doi:10.1007/978-3-319-63121-9_18.
short: K. Chatterjee, L. Doyen, T.A. Henzinger, in:, L. Aceto, G. Bacci, A. Ingólfsdóttir,
A. Legay, R. Mardare (Eds.), Models, Algorithms, Logics and Tools, Springer, 2017,
pp. 367–381.
date_created: 2018-12-11T11:47:34Z
date_published: 2017-07-25T00:00:00Z
date_updated: 2025-06-02T08:53:45Z
day: '25'
ddc:
- '000'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-319-63121-9_18
ec_funded: 1
editor:
- first_name: Luca
full_name: Aceto, Luca
last_name: Aceto
- first_name: Giorgio
full_name: Bacci, Giorgio
last_name: Bacci
- first_name: Anna
full_name: Ingólfsdóttir, Anna
last_name: Ingólfsdóttir
- first_name: Axel
full_name: Legay, Axel
last_name: Legay
- first_name: Radu
full_name: Mardare, Radu
last_name: Mardare
file:
- access_level: open_access
checksum: b2402766ec02c79801aac634bd8f9f6c
content_type: application/pdf
creator: dernst
date_created: 2019-11-19T08:06:50Z
date_updated: 2020-07-14T12:47:25Z
file_id: '7048'
file_name: 2017_ModelsAlgorithms_Chatterjee.pdf
file_size: 192826
relation: main_file
file_date_updated: 2020-07-14T12:47:25Z
has_accepted_license: '1'
intvolume: ' 10460'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
page: 367 - 381
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
publication: Models, Algorithms, Logics and Tools
publication_identifier:
isbn:
- 978-3-319-63120-2
issn:
- 0302-9743
publication_status: published
publisher: Springer
publist_id: '7170'
quality_controlled: '1'
scopus_import: '1'
series_title: Theoretical Computer Science and General Issues
status: public
title: The cost of exactness in quantitative reachability
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10460
year: '2017'
...
---
_id: '631'
abstract:
- lang: eng
text: Template polyhedra generalize intervals and octagons to polyhedra whose facets
are orthogonal to a given set of arbitrary directions. They have been employed
in the abstract interpretation of programs and, with particular success, in the
reachability analysis of hybrid automata. While previously, the choice of directions
has been left to the user or a heuristic, we present a method for the automatic
discovery of directions that generalize and eliminate spurious counterexamples.
We show that for the class of convex hybrid automata, i.e., hybrid automata with
(possibly nonlinear) convex constraints on derivatives, such directions always
exist and can be found using convex optimization. We embed our method inside a
CEGAR loop, thus enabling the time-unbounded reachability analysis of an important
and richer class of hybrid automata than was previously possible. We evaluate
our method on several benchmarks, demonstrating also its superior efficiency for
the special case of linear hybrid automata.
acknowledgement: This research was supported in part by the Austrian Science Fund
(FWF) under grants S11402-N23 (RiSE/SHiNE) and Z211-N23 (Wittgenstein Award), by
the European Commission under grant 643921 (UnCoVerCPS), and by the ARC project
DP140104219 (Robust AI Planning for Hybrid Systems).
alternative_title:
- LNCS
author:
- first_name: Sergiy
full_name: Bogomolov, Sergiy
id: 369D9A44-F248-11E8-B48F-1D18A9856A87
last_name: Bogomolov
orcid: 0000-0002-0686-0365
- first_name: Goran
full_name: Frehse, Goran
last_name: Frehse
- first_name: Mirco
full_name: Giacobbe, Mirco
id: 3444EA5E-F248-11E8-B48F-1D18A9856A87
last_name: Giacobbe
orcid: 0000-0001-8180-0904
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
citation:
ama: 'Bogomolov S, Frehse G, Giacobbe M, Henzinger TA. Counterexample guided refinement
of template polyhedra. In: Vol 10205. Springer; 2017:589-606. doi:10.1007/978-3-662-54577-5_34'
apa: 'Bogomolov, S., Frehse, G., Giacobbe, M., & Henzinger, T. A. (2017). Counterexample
guided refinement of template polyhedra (Vol. 10205, pp. 589–606). Presented at
the TACAS: Tools and Algorithms for the Construction and Analysis of Systems,
Uppsala, Sweden: Springer. https://doi.org/10.1007/978-3-662-54577-5_34'
chicago: Bogomolov, Sergiy, Goran Frehse, Mirco Giacobbe, and Thomas A Henzinger.
“Counterexample Guided Refinement of Template Polyhedra,” 10205:589–606. Springer,
2017. https://doi.org/10.1007/978-3-662-54577-5_34.
ieee: 'S. Bogomolov, G. Frehse, M. Giacobbe, and T. A. Henzinger, “Counterexample
guided refinement of template polyhedra,” presented at the TACAS: Tools and Algorithms
for the Construction and Analysis of Systems, Uppsala, Sweden, 2017, vol. 10205,
pp. 589–606.'
ista: 'Bogomolov S, Frehse G, Giacobbe M, Henzinger TA. 2017. Counterexample guided
refinement of template polyhedra. TACAS: Tools and Algorithms for the Construction
and Analysis of Systems, LNCS, vol. 10205, 589–606.'
mla: Bogomolov, Sergiy, et al. Counterexample Guided Refinement of Template Polyhedra.
Vol. 10205, Springer, 2017, pp. 589–606, doi:10.1007/978-3-662-54577-5_34.
short: S. Bogomolov, G. Frehse, M. Giacobbe, T.A. Henzinger, in:, Springer, 2017,
pp. 589–606.
conference:
end_date: 2017-04-29
location: Uppsala, Sweden
name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems'
start_date: 2017-04-22
date_created: 2018-12-11T11:47:36Z
date_published: 2017-03-31T00:00:00Z
date_updated: 2023-09-07T12:53:00Z
day: '31'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/978-3-662-54577-5_34
file:
- access_level: open_access
checksum: f395d0d20102b89aeaad8b4ef4f18f4f
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:11:41Z
date_updated: 2020-07-14T12:47:27Z
file_id: '4897'
file_name: IST-2017-741-v1+1_main.pdf
file_size: 569863
relation: main_file
- access_level: open_access
checksum: f416ee1ae4497b23ecdf28b1f18bb8df
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:11:42Z
date_updated: 2020-07-14T12:47:27Z
file_id: '4898'
file_name: IST-2018-741-v2+2_main.pdf
file_size: 563276
relation: main_file
file_date_updated: 2020-07-14T12:47:27Z
has_accepted_license: '1'
intvolume: ' 10205'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Submitted Version
page: 589 - 606
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication_identifier:
isbn:
- 978-366254576-8
publication_status: published
publisher: Springer
publist_id: '7162'
pubrep_id: '966'
quality_controlled: '1'
related_material:
record:
- id: '6894'
relation: dissertation_contains
status: public
scopus_import: 1
status: public
title: Counterexample guided refinement of template polyhedra
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10205
year: '2017'
...
---
_id: '633'
abstract:
- lang: eng
text: A Rapidly-exploring Random Tree (RRT) is an algorithm which can search a non-convex
region of space by incrementally building a space-filling tree. The tree is constructed
from random points drawn from system’s state space and is biased to grow towards
large unexplored areas in the system. RRT can provide better coverage of a system’s
possible behaviors compared with random simulations, but is more lightweight than
full reachability analysis. In this paper, we explore some of the design decisions
encountered while implementing a hybrid extension of the RRT algorithm, which
have not been elaborated on before. In particular, we focus on handling non-determinism,
which arises due to discrete transitions. We introduce the notion of important
points to account for this phenomena. We showcase our ideas using heater and navigation
benchmarks.
alternative_title:
- LNCS
author:
- first_name: Stanley
full_name: Bak, Stanley
last_name: Bak
- first_name: Sergiy
full_name: Bogomolov, Sergiy
id: 369D9A44-F248-11E8-B48F-1D18A9856A87
last_name: Bogomolov
orcid: 0000-0002-0686-0365
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Aviral
full_name: Kumar, Aviral
last_name: Kumar
citation:
ama: 'Bak S, Bogomolov S, Henzinger TA, Kumar A. Challenges and tool implementation
of hybrid rapidly exploring random trees. In: Abate A, Bodo S, eds. Vol 10381.
Springer; 2017:83-89. doi:10.1007/978-3-319-63501-9_6'
apa: 'Bak, S., Bogomolov, S., Henzinger, T. A., & Kumar, A. (2017). Challenges
and tool implementation of hybrid rapidly exploring random trees. In A. Abate
& S. Bodo (Eds.) (Vol. 10381, pp. 83–89). Presented at the NSV: Numerical
Software Verification, Heidelberg, Germany: Springer. https://doi.org/10.1007/978-3-319-63501-9_6'
chicago: Bak, Stanley, Sergiy Bogomolov, Thomas A Henzinger, and Aviral Kumar. “Challenges
and Tool Implementation of Hybrid Rapidly Exploring Random Trees.” edited by Alessandro
Abate and Sylvie Bodo, 10381:83–89. Springer, 2017. https://doi.org/10.1007/978-3-319-63501-9_6.
ieee: 'S. Bak, S. Bogomolov, T. A. Henzinger, and A. Kumar, “Challenges and tool
implementation of hybrid rapidly exploring random trees,” presented at the NSV:
Numerical Software Verification, Heidelberg, Germany, 2017, vol. 10381, pp. 83–89.'
ista: 'Bak S, Bogomolov S, Henzinger TA, Kumar A. 2017. Challenges and tool implementation
of hybrid rapidly exploring random trees. NSV: Numerical Software Verification,
LNCS, vol. 10381, 83–89.'
mla: Bak, Stanley, et al. Challenges and Tool Implementation of Hybrid Rapidly
Exploring Random Trees. Edited by Alessandro Abate and Sylvie Bodo, vol. 10381,
Springer, 2017, pp. 83–89, doi:10.1007/978-3-319-63501-9_6.
short: S. Bak, S. Bogomolov, T.A. Henzinger, A. Kumar, in:, A. Abate, S. Bodo (Eds.),
Springer, 2017, pp. 83–89.
conference:
end_date: 2017-07-23
location: Heidelberg, Germany
name: 'NSV: Numerical Software Verification'
start_date: 2017-07-22
date_created: 2018-12-11T11:47:37Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2021-01-12T08:07:06Z
day: '01'
department:
- _id: ToHe
doi: 10.1007/978-3-319-63501-9_6
editor:
- first_name: Alessandro
full_name: Abate, Alessandro
last_name: Abate
- first_name: Sylvie
full_name: Bodo, Sylvie
last_name: Bodo
intvolume: ' 10381'
language:
- iso: eng
month: '01'
oa_version: None
page: 83 - 89
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication_identifier:
isbn:
- 978-331963500-2
publication_status: published
publisher: Springer
publist_id: '7159'
quality_controlled: '1'
scopus_import: 1
status: public
title: Challenges and tool implementation of hybrid rapidly exploring random trees
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10381
year: '2017'
...
---
_id: '636'
abstract:
- lang: eng
text: Signal regular expressions can specify sequential properties of real-valued
signals based on threshold conditions, regular operations, and duration constraints.
In this paper we endow them with a quantitative semantics which indicates how
robustly a signal matches or does not match a given expression. First, we show
that this semantics is a safe approximation of a distance between the signal and
the language defined by the expression. Then, we consider the robust matching
problem, that is, computing the quantitative semantics of every segment of a given
signal relative to an expression. We present an algorithm that solves this problem
for piecewise-constant and piecewise-linear signals and show that for such signals
the robustness map is a piecewise-linear function. The availability of an indicator
describing how robustly a signal segment matches some regular pattern provides
a general framework for quantitative monitoring of cyber-physical systems.
alternative_title:
- LNCS
author:
- first_name: Alexey
full_name: Bakhirkin, Alexey
last_name: Bakhirkin
- first_name: Thomas
full_name: Ferrere, Thomas
id: 40960E6E-F248-11E8-B48F-1D18A9856A87
last_name: Ferrere
orcid: 0000-0001-5199-3143
- first_name: Oded
full_name: Maler, Oded
last_name: Maler
- first_name: Dogan
full_name: Ulus, Dogan
last_name: Ulus
citation:
ama: 'Bakhirkin A, Ferrere T, Maler O, Ulus D. On the quantitative semantics of
regular expressions over real-valued signals. In: Abate A, Geeraerts G, eds. Vol
10419. Springer; 2017:189-206. doi:10.1007/978-3-319-65765-3_11'
apa: 'Bakhirkin, A., Ferrere, T., Maler, O., & Ulus, D. (2017). On the quantitative
semantics of regular expressions over real-valued signals. In A. Abate & G.
Geeraerts (Eds.) (Vol. 10419, pp. 189–206). Presented at the FORMATS: Formal Modelling
and Analysis of Timed Systems, Berlin, Germany: Springer. https://doi.org/10.1007/978-3-319-65765-3_11'
chicago: Bakhirkin, Alexey, Thomas Ferrere, Oded Maler, and Dogan Ulus. “On the
Quantitative Semantics of Regular Expressions over Real-Valued Signals.” edited
by Alessandro Abate and Gilles Geeraerts, 10419:189–206. Springer, 2017. https://doi.org/10.1007/978-3-319-65765-3_11.
ieee: 'A. Bakhirkin, T. Ferrere, O. Maler, and D. Ulus, “On the quantitative semantics
of regular expressions over real-valued signals,” presented at the FORMATS: Formal
Modelling and Analysis of Timed Systems, Berlin, Germany, 2017, vol. 10419, pp.
189–206.'
ista: 'Bakhirkin A, Ferrere T, Maler O, Ulus D. 2017. On the quantitative semantics
of regular expressions over real-valued signals. FORMATS: Formal Modelling and
Analysis of Timed Systems, LNCS, vol. 10419, 189–206.'
mla: Bakhirkin, Alexey, et al. On the Quantitative Semantics of Regular Expressions
over Real-Valued Signals. Edited by Alessandro Abate and Gilles Geeraerts,
vol. 10419, Springer, 2017, pp. 189–206, doi:10.1007/978-3-319-65765-3_11.
short: A. Bakhirkin, T. Ferrere, O. Maler, D. Ulus, in:, A. Abate, G. Geeraerts
(Eds.), Springer, 2017, pp. 189–206.
conference:
end_date: 2017-09-07
location: Berlin, Germany
name: 'FORMATS: Formal Modelling and Analysis of Timed Systems'
start_date: 2017-09-05
date_created: 2018-12-11T11:47:38Z
date_published: 2017-08-03T00:00:00Z
date_updated: 2021-01-12T08:07:14Z
day: '03'
department:
- _id: ToHe
doi: 10.1007/978-3-319-65765-3_11
editor:
- first_name: Alessandro
full_name: Abate, Alessandro
last_name: Abate
- first_name: Gilles
full_name: Geeraerts, Gilles
last_name: Geeraerts
intvolume: ' 10419'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.archives-ouvertes.fr/hal-01552132
month: '08'
oa: 1
oa_version: Submitted Version
page: 189 - 206
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication_identifier:
isbn:
- 978-331965764-6
publication_status: published
publisher: Springer
publist_id: '7152'
quality_controlled: '1'
scopus_import: 1
status: public
title: On the quantitative semantics of regular expressions over real-valued signals
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 10419
year: '2017'
...
---
_id: '638'
abstract:
- lang: eng
text: "This book constitutes the refereed proceedings of the 9th InternationalWorkshop
on Numerical Software Verification, NSV 2016, held in Toronto, ON, Canada in July
2011 - colocated with CAV 2016, the 28th International Conference on Computer
Aided Verification.\r\nThe NSV workshop is dedicated to the development of logical
and mathematical techniques for the reasoning about programmability and reliability."
article_processing_charge: No
citation:
ama: Bogomolov S, Martel M, Prabhakar P, eds. Numerical Software Verification.
Vol 10152. Springer; 2017. doi:10.1007/978-3-319-54292-8
apa: 'Bogomolov, S., Martel, M., & Prabhakar, P. (Eds.). (2017). Numerical
Software Verification (Vol. 10152). Presented at the NSV: Numerical Software
Verification, Toronto, ON, Canada: Springer. https://doi.org/10.1007/978-3-319-54292-8'
chicago: Bogomolov, Sergiy, Matthieu Martel, and Pavithra Prabhakar, eds. Numerical
Software Verification. Vol. 10152. LNCS. Springer, 2017. https://doi.org/10.1007/978-3-319-54292-8.
ieee: S. Bogomolov, M. Martel, and P. Prabhakar, Eds., Numerical Software Verification,
vol. 10152. Springer, 2017.
ista: Bogomolov S, Martel M, Prabhakar P eds. 2017. Numerical Software Verification,
Springer,p.
mla: Bogomolov, Sergiy, et al., editors. Numerical Software Verification.
Vol. 10152, Springer, 2017, doi:10.1007/978-3-319-54292-8.
short: S. Bogomolov, M. Martel, P. Prabhakar, eds., Numerical Software Verification,
Springer, 2017.
conference:
end_date: 2016-07-18
location: Toronto, ON, Canada
name: 'NSV: Numerical Software Verification'
start_date: 2016-07-17
date_created: 2018-12-11T11:47:38Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2022-05-24T07:09:52Z
day: '01'
department:
- _id: ToHe
doi: 10.1007/978-3-319-54292-8
editor:
- first_name: Sergiy
full_name: Bogomolov, Sergiy
id: 369D9A44-F248-11E8-B48F-1D18A9856A87
last_name: Bogomolov
orcid: 0000-0002-0686-0365
- first_name: Matthieu
full_name: Martel, Matthieu
last_name: Martel
- first_name: Pavithra
full_name: Prabhakar, Pavithra
last_name: Prabhakar
intvolume: ' 10152'
language:
- iso: eng
month: '01'
oa_version: None
publication_identifier:
eisbn:
- 978-3-319-54292-8
issn:
- 0302-9743
publication_status: published
publisher: Springer
publist_id: '7150'
quality_controlled: '1'
series_title: LNCS
status: public
title: Numerical Software Verification
type: conference_editor
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10152
year: '2017'
...
---
_id: '6426'
abstract:
- lang: eng
text: Synchronous programs are easy to specify because the side effects of an operation
are finished by the time the invocation of the operation returns to the caller.
Asynchronous programs, on the other hand, are difficult to specify because there
are side effects due to pending computation scheduled as a result of the invocation
of an operation. They are also difficult to verify because of the large number
of possible interleavings of concurrent asynchronous computation threads. We show
that specifications and correctness proofs for asynchronous programs can be structured
by introducing the fiction, for proof purposes, that intermediate, non-quiescent
states of asynchronous operations can be ignored. Then, the task of specification
becomes relatively simple and the task of verification can be naturally decomposed
into smaller sub-tasks. The sub-tasks iteratively summarize, guided by the structure
of an asynchronous program, the atomic effect of non-atomic operations and the
synchronous effect of asynchronous operations. This structuring of specifications
and proofs corresponds to the introduction of multiple layers of stepwise refinement
for asynchronous programs. We present the first proof rule, called synchronization,
to reduce asynchronous invocations on a lower layer to synchronous invocations
on a higher layer. We implemented our proof method in CIVL and evaluated it on
a collection of benchmark programs.
alternative_title:
- IST Austria Technical Report
author:
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Bernhard
full_name: Kragl, Bernhard
id: 320FC952-F248-11E8-B48F-1D18A9856A87
last_name: Kragl
orcid: 0000-0001-7745-9117
- first_name: Shaz
full_name: Qadeer, Shaz
last_name: Qadeer
citation:
ama: Henzinger TA, Kragl B, Qadeer S. Synchronizing the Asynchronous. IST
Austria; 2017. doi:10.15479/AT:IST-2018-853-v2-2
apa: Henzinger, T. A., Kragl, B., & Qadeer, S. (2017). Synchronizing the
asynchronous. IST Austria. https://doi.org/10.15479/AT:IST-2018-853-v2-2
chicago: Henzinger, Thomas A, Bernhard Kragl, and Shaz Qadeer. Synchronizing
the Asynchronous. IST Austria, 2017. https://doi.org/10.15479/AT:IST-2018-853-v2-2.
ieee: T. A. Henzinger, B. Kragl, and S. Qadeer, Synchronizing the asynchronous.
IST Austria, 2017.
ista: Henzinger TA, Kragl B, Qadeer S. 2017. Synchronizing the asynchronous, IST
Austria, 28p.
mla: Henzinger, Thomas A., et al. Synchronizing the Asynchronous. IST Austria,
2017, doi:10.15479/AT:IST-2018-853-v2-2.
short: T.A. Henzinger, B. Kragl, S. Qadeer, Synchronizing the Asynchronous, IST
Austria, 2017.
date_created: 2019-05-13T08:15:55Z
date_published: 2017-08-04T00:00:00Z
date_updated: 2023-02-21T16:59:21Z
day: '04'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.15479/AT:IST-2018-853-v2-2
file:
- access_level: open_access
checksum: b48d42725182d7ca10107a118815f4cf
content_type: application/pdf
creator: dernst
date_created: 2019-05-13T08:14:44Z
date_updated: 2020-07-14T12:47:30Z
file_id: '6431'
file_name: main(1).pdf
file_size: 971347
relation: main_file
file_date_updated: 2020-07-14T12:47:30Z
has_accepted_license: '1'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
page: '28'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
related_material:
record:
- id: '133'
relation: later_version
status: public
status: public
title: Synchronizing the asynchronous
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2017'
...
---
_id: '647'
abstract:
- lang: eng
text: Despite researchers’ efforts in the last couple of decades, reachability analysis
is still a challenging problem even for linear hybrid systems. Among the existing
approaches, the most practical ones are mainly based on bounded-time reachable
set over-approximations. For the purpose of unbounded-time analysis, one important
strategy is to abstract the original system and find an invariant for the abstraction.
In this paper, we propose an approach to constructing a new kind of abstraction
called conic abstraction for affine hybrid systems, and to computing reachable
sets based on this abstraction. The essential feature of a conic abstraction is
that it partitions the state space of a system into a set of convex polyhedral
cones which is derived from a uniform conic partition of the derivative space.
Such a set of polyhedral cones is able to cut all trajectories of the system into
almost straight segments so that every segment of a reach pipe in a polyhedral
cone tends to be straight as well, and hence can be over-approximated tightly
by polyhedra using similar techniques as HyTech or PHAVer. In particular, for
diagonalizable affine systems, our approach can guarantee to find an invariant
for unbounded reachable sets, which is beyond the capability of bounded-time reachability
analysis tools. We implemented the approach in a tool and experiments on benchmarks
show that our approach is more powerful than SpaceEx and PHAVer in dealing with
diagonalizable systems.
alternative_title:
- LNCS
author:
- first_name: Sergiy
full_name: Bogomolov, Sergiy
id: 369D9A44-F248-11E8-B48F-1D18A9856A87
last_name: Bogomolov
orcid: 0000-0002-0686-0365
- first_name: Mirco
full_name: Giacobbe, Mirco
id: 3444EA5E-F248-11E8-B48F-1D18A9856A87
last_name: Giacobbe
orcid: 0000-0001-8180-0904
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Hui
full_name: Kong, Hui
id: 3BDE25AA-F248-11E8-B48F-1D18A9856A87
last_name: Kong
orcid: 0000-0002-3066-6941
citation:
ama: 'Bogomolov S, Giacobbe M, Henzinger TA, Kong H. Conic abstractions for hybrid
systems. In: Vol 10419. Springer; 2017:116-132. doi:10.1007/978-3-319-65765-3_7'
apa: 'Bogomolov, S., Giacobbe, M., Henzinger, T. A., & Kong, H. (2017). Conic
abstractions for hybrid systems (Vol. 10419, pp. 116–132). Presented at the FORMATS:
Formal Modelling and Analysis of Timed Systems, Berlin, Germany: Springer. https://doi.org/10.1007/978-3-319-65765-3_7'
chicago: Bogomolov, Sergiy, Mirco Giacobbe, Thomas A Henzinger, and Hui Kong. “Conic
Abstractions for Hybrid Systems,” 10419:116–32. Springer, 2017. https://doi.org/10.1007/978-3-319-65765-3_7.
ieee: 'S. Bogomolov, M. Giacobbe, T. A. Henzinger, and H. Kong, “Conic abstractions
for hybrid systems,” presented at the FORMATS: Formal Modelling and Analysis of
Timed Systems, Berlin, Germany, 2017, vol. 10419, pp. 116–132.'
ista: 'Bogomolov S, Giacobbe M, Henzinger TA, Kong H. 2017. Conic abstractions for
hybrid systems. FORMATS: Formal Modelling and Analysis of Timed Systems, LNCS,
vol. 10419, 116–132.'
mla: Bogomolov, Sergiy, et al. Conic Abstractions for Hybrid Systems. Vol.
10419, Springer, 2017, pp. 116–32, doi:10.1007/978-3-319-65765-3_7.
short: S. Bogomolov, M. Giacobbe, T.A. Henzinger, H. Kong, in:, Springer, 2017,
pp. 116–132.
conference:
end_date: 2017-09-07
location: Berlin, Germany
name: 'FORMATS: Formal Modelling and Analysis of Timed Systems'
start_date: 2017-09-05
date_created: 2018-12-11T11:47:41Z
date_published: 2017-09-01T00:00:00Z
date_updated: 2023-09-07T12:53:00Z
day: '01'
ddc:
- '005'
department:
- _id: ToHe
doi: 10.1007/978-3-319-65765-3_7
file:
- access_level: open_access
checksum: faf546914ba29bcf9974ee36b6b16750
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:12:38Z
date_updated: 2020-07-14T12:47:31Z
file_id: '4956'
file_name: IST-2017-831-v1+1_main.pdf
file_size: 3806864
relation: main_file
file_date_updated: 2020-07-14T12:47:31Z
has_accepted_license: '1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Submitted Version
page: 116 - 132
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication_identifier:
isbn:
- 978-331965764-6
publication_status: published
publisher: Springer
publist_id: '7129'
pubrep_id: '831'
quality_controlled: '1'
related_material:
record:
- id: '6894'
relation: dissertation_contains
status: public
scopus_import: 1
status: public
title: Conic abstractions for hybrid systems
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: '10419 '
year: '2017'
...
---
_id: '1338'
abstract:
- lang: eng
text: We present a computer-aided programming approach to concurrency. The approach
allows programmers to program assuming a friendly, non-preemptive scheduler, and
our synthesis procedure inserts synchronization to ensure that the final program
works even with a preemptive scheduler. The correctness specification is implicit,
inferred from the non-preemptive behavior. Let us consider sequences of calls
that the program makes to an external interface. The specification requires that
any such sequence produced under a preemptive scheduler should be included in
the set of sequences produced under a non-preemptive scheduler. We guarantee that
our synthesis does not introduce deadlocks and that the synchronization inserted
is optimal w.r.t. a given objective function. The solution is based on a finitary
abstraction, an algorithm for bounded language inclusion modulo an independence
relation, and generation of a set of global constraints over synchronization placements.
Each model of the global constraints set corresponds to a correctness-ensuring
synchronization placement. The placement that is optimal w.r.t. the given objective
function is chosen as the synchronization solution. We apply the approach to device-driver
programming, where the driver threads call the software interface of the device
and the API provided by the operating system. Our experiments demonstrate that
our synthesis method is precise and efficient. The implicit specification helped
us find one concurrency bug previously missed when model-checking using an explicit,
user-provided specification. We implemented objective functions for coarse-grained
and fine-grained locking and observed that different synchronization placements
are produced for our experiments, favoring a minimal number of synchronization
operations or maximum concurrency, respectively.
article_processing_charge: No
author:
- first_name: Pavol
full_name: Cerny, Pavol
id: 4DCBEFFE-F248-11E8-B48F-1D18A9856A87
last_name: Cerny
- first_name: Edmund
full_name: Clarke, Edmund
last_name: Clarke
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Arjun
full_name: Radhakrishna, Arjun
id: 3B51CAC4-F248-11E8-B48F-1D18A9856A87
last_name: Radhakrishna
- first_name: Leonid
full_name: Ryzhyk, Leonid
last_name: Ryzhyk
- first_name: Roopsha
full_name: Samanta, Roopsha
id: 3D2AAC08-F248-11E8-B48F-1D18A9856A87
last_name: Samanta
- first_name: Thorsten
full_name: Tarrach, Thorsten
id: 3D6E8F2C-F248-11E8-B48F-1D18A9856A87
last_name: Tarrach
orcid: 0000-0003-4409-8487
citation:
ama: Cerny P, Clarke E, Henzinger TA, et al. From non-preemptive to preemptive scheduling
using synchronization synthesis. Formal Methods in System Design. 2017;50(2-3):97-139.
doi:10.1007/s10703-016-0256-5
apa: Cerny, P., Clarke, E., Henzinger, T. A., Radhakrishna, A., Ryzhyk, L., Samanta,
R., & Tarrach, T. (2017). From non-preemptive to preemptive scheduling using
synchronization synthesis. Formal Methods in System Design. Springer. https://doi.org/10.1007/s10703-016-0256-5
chicago: Cerny, Pavol, Edmund Clarke, Thomas A Henzinger, Arjun Radhakrishna, Leonid
Ryzhyk, Roopsha Samanta, and Thorsten Tarrach. “From Non-Preemptive to Preemptive
Scheduling Using Synchronization Synthesis.” Formal Methods in System Design.
Springer, 2017. https://doi.org/10.1007/s10703-016-0256-5.
ieee: P. Cerny et al., “From non-preemptive to preemptive scheduling using
synchronization synthesis,” Formal Methods in System Design, vol. 50, no.
2–3. Springer, pp. 97–139, 2017.
ista: Cerny P, Clarke E, Henzinger TA, Radhakrishna A, Ryzhyk L, Samanta R, Tarrach
T. 2017. From non-preemptive to preemptive scheduling using synchronization synthesis.
Formal Methods in System Design. 50(2–3), 97–139.
mla: Cerny, Pavol, et al. “From Non-Preemptive to Preemptive Scheduling Using Synchronization
Synthesis.” Formal Methods in System Design, vol. 50, no. 2–3, Springer,
2017, pp. 97–139, doi:10.1007/s10703-016-0256-5.
short: P. Cerny, E. Clarke, T.A. Henzinger, A. Radhakrishna, L. Ryzhyk, R. Samanta,
T. Tarrach, Formal Methods in System Design 50 (2017) 97–139.
date_created: 2018-12-11T11:51:27Z
date_published: 2017-06-01T00:00:00Z
date_updated: 2023-09-20T11:13:51Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/s10703-016-0256-5
ec_funded: 1
external_id:
isi:
- '000399888900001'
file:
- access_level: open_access
checksum: 1163dfd997e8212c789525d4178b1653
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:13:05Z
date_updated: 2020-07-14T12:44:44Z
file_id: '4985'
file_name: IST-2016-656-v1+1_s10703-016-0256-5.pdf
file_size: 1416170
relation: main_file
file_date_updated: 2020-07-14T12:44:44Z
has_accepted_license: '1'
intvolume: ' 50'
isi: 1
issue: 2-3
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 97 - 139
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Formal Methods in System Design
publication_status: published
publisher: Springer
publist_id: '5929'
pubrep_id: '656'
quality_controlled: '1'
related_material:
record:
- id: '1729'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: From non-preemptive to preemptive scheduling using synchronization synthesis
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: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 50
year: '2017'
...
---
_id: '1351'
abstract:
- lang: eng
text: The behaviour of gene regulatory networks (GRNs) is typically analysed using
simulation-based statistical testing-like methods. In this paper, we demonstrate
that we can replace this approach by a formal verification-like method that gives
higher assurance and scalability. We focus on Wagner’s weighted GRN model with
varying weights, which is used in evolutionary biology. In the model, weight parameters
represent the gene interaction strength that may change due to genetic mutations.
For a property of interest, we synthesise the constraints over the parameter space
that represent the set of GRNs satisfying the property. We experimentally show
that our parameter synthesis procedure computes the mutational robustness of GRNs—an
important problem of interest in evolutionary biology—more efficiently than the
classical simulation method. We specify the property in linear temporal logic.
We employ symbolic bounded model checking and SMT solving to compute the space
of GRNs that satisfy the property, which amounts to synthesizing a set of linear
constraints on the weights.
article_processing_charge: No
author:
- first_name: Mirco
full_name: Giacobbe, Mirco
id: 3444EA5E-F248-11E8-B48F-1D18A9856A87
last_name: Giacobbe
orcid: 0000-0001-8180-0904
- first_name: Calin C
full_name: Guet, Calin C
id: 47F8433E-F248-11E8-B48F-1D18A9856A87
last_name: Guet
orcid: 0000-0001-6220-2052
- first_name: Ashutosh
full_name: Gupta, Ashutosh
id: 335E5684-F248-11E8-B48F-1D18A9856A87
last_name: Gupta
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Tiago
full_name: Paixao, Tiago
id: 2C5658E6-F248-11E8-B48F-1D18A9856A87
last_name: Paixao
orcid: 0000-0003-2361-3953
- first_name: Tatjana
full_name: Petrov, Tatjana
id: 3D5811FC-F248-11E8-B48F-1D18A9856A87
last_name: Petrov
orcid: 0000-0002-9041-0905
citation:
ama: Giacobbe M, Guet CC, Gupta A, Henzinger TA, Paixao T, Petrov T. Model checking
the evolution of gene regulatory networks. Acta Informatica. 2017;54(8):765-787.
doi:10.1007/s00236-016-0278-x
apa: Giacobbe, M., Guet, C. C., Gupta, A., Henzinger, T. A., Paixao, T., & Petrov,
T. (2017). Model checking the evolution of gene regulatory networks. Acta Informatica.
Springer. https://doi.org/10.1007/s00236-016-0278-x
chicago: Giacobbe, Mirco, Calin C Guet, Ashutosh Gupta, Thomas A Henzinger, Tiago
Paixao, and Tatjana Petrov. “Model Checking the Evolution of Gene Regulatory Networks.”
Acta Informatica. Springer, 2017. https://doi.org/10.1007/s00236-016-0278-x.
ieee: M. Giacobbe, C. C. Guet, A. Gupta, T. A. Henzinger, T. Paixao, and T. Petrov,
“Model checking the evolution of gene regulatory networks,” Acta Informatica,
vol. 54, no. 8. Springer, pp. 765–787, 2017.
ista: Giacobbe M, Guet CC, Gupta A, Henzinger TA, Paixao T, Petrov T. 2017. Model
checking the evolution of gene regulatory networks. Acta Informatica. 54(8), 765–787.
mla: Giacobbe, Mirco, et al. “Model Checking the Evolution of Gene Regulatory Networks.”
Acta Informatica, vol. 54, no. 8, Springer, 2017, pp. 765–87, doi:10.1007/s00236-016-0278-x.
short: M. Giacobbe, C.C. Guet, A. Gupta, T.A. Henzinger, T. Paixao, T. Petrov, Acta
Informatica 54 (2017) 765–787.
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