---
_id: '3866'
abstract:
- lang: eng
text: Systems ought to behave reasonably even in circumstances that are not anticipated
in their specifications. We propose a definition of robustness for liveness specifications
which prescribes, for any number of environment assumptions that are violated,
a minimal number of system guarantees that must still be fulfilled. This notion
of robustness can be formulated and realized using a Generalized Reactivity formula.
We present an algorithm for synthesizing robust systems from such formulas. For
the important special case of Generalized Reactivity formulas of rank 1, our algorithm
improves the complexity of [PPS06] for large specifications with a small number
of assumptions and guarantees.
alternative_title:
- LNCS
author:
- first_name: Roderick
full_name: Bloem, Roderick
last_name: Bloem
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Karin
full_name: Greimel, Karin
last_name: Greimel
- 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: Barbara
full_name: Jobstmann, Barbara
last_name: Jobstmann
citation:
ama: 'Bloem R, Chatterjee K, Greimel K, Henzinger TA, Jobstmann B. Robustness in
the presence of liveness. In: Touili T, Cook B, Jackson P, eds. Vol 6174. Springer;
2010:410-424. doi:10.1007/978-3-642-14295-6_36'
apa: 'Bloem, R., Chatterjee, K., Greimel, K., Henzinger, T. A., & Jobstmann,
B. (2010). Robustness in the presence of liveness. In T. Touili, B. Cook, &
P. Jackson (Eds.) (Vol. 6174, pp. 410–424). Presented at the CAV: Computer Aided
Verification, Edinburgh, UK: Springer. https://doi.org/10.1007/978-3-642-14295-6_36'
chicago: Bloem, Roderick, Krishnendu Chatterjee, Karin Greimel, Thomas A Henzinger,
and Barbara Jobstmann. “Robustness in the Presence of Liveness.” edited by Tayssir
Touili, Byron Cook, and Paul Jackson, 6174:410–24. Springer, 2010. https://doi.org/10.1007/978-3-642-14295-6_36.
ieee: 'R. Bloem, K. Chatterjee, K. Greimel, T. A. Henzinger, and B. Jobstmann, “Robustness
in the presence of liveness,” presented at the CAV: Computer Aided Verification,
Edinburgh, UK, 2010, vol. 6174, pp. 410–424.'
ista: 'Bloem R, Chatterjee K, Greimel K, Henzinger TA, Jobstmann B. 2010. Robustness
in the presence of liveness. CAV: Computer Aided Verification, LNCS, vol. 6174,
410–424.'
mla: Bloem, Roderick, et al. Robustness in the Presence of Liveness. Edited
by Tayssir Touili et al., vol. 6174, Springer, 2010, pp. 410–24, doi:10.1007/978-3-642-14295-6_36.
short: R. Bloem, K. Chatterjee, K. Greimel, T.A. Henzinger, B. Jobstmann, in:, T.
Touili, B. Cook, P. Jackson (Eds.), Springer, 2010, pp. 410–424.
conference:
end_date: 2010-07-19
location: Edinburgh, UK
name: 'CAV: Computer Aided Verification'
start_date: 2010-07-15
date_created: 2018-12-11T12:05:36Z
date_published: 2010-07-01T00:00:00Z
date_updated: 2021-01-12T07:52:47Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-642-14295-6_36
ec_funded: 1
editor:
- first_name: Tayssir
full_name: Touili, Tayssir
last_name: Touili
- first_name: Byron
full_name: Cook, Byron
last_name: Cook
- first_name: Paul
full_name: Jackson, Paul
last_name: Jackson
file:
- access_level: open_access
checksum: 9d204611c8d7855bed8134f8708a0010
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:16:52Z
date_updated: 2020-07-14T12:46:19Z
file_id: '5243'
file_name: IST-2012-54-v1+1_Robustness_in_the_presence_of_liveness.pdf
file_size: 213083
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file_date_updated: 2020-07-14T12:46:19Z
has_accepted_license: '1'
intvolume: ' 6174'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
page: 410 - 424
project:
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '215543'
name: COMponent-Based Embedded Systems design Techniques
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '214373'
name: Design for Embedded Systems
publication_status: published
publisher: Springer
publist_id: '2310'
pubrep_id: '54'
quality_controlled: '1'
scopus_import: 1
status: public
title: Robustness in the presence of liveness
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6174
year: '2010'
...
---
_id: '3867'
abstract:
- lang: eng
text: Weighted automata are nondeterministic automata with numerical weights on
transitions. They can define quantitative languages L that assign to each word
w a real number L(w). In the case of infinite words, the value of a run is naturally
computed as the maximum, limsup, liminf, limit-average, or discounted-sum of the
transition weights. The value of a word w is the supremum of the values of the
runs over w. We study expressiveness and closure questions about these quantitative
languages. We first show that the set of words with value greater than a threshold
can be omega-regular for deterministic limit-average and discounted-sum automata,
while this set is always omega-regular when the threshold is isolated (i.e., some
neighborhood around the threshold contains no word). In the latter case, we prove
that the omega-regular language is robust against small perturbations of the transition
weights. We next consider automata with transition weights 0 or 1 and show that
they are as expressive as general weighted automata in the limit-average case,
but not in the discounted-sum case. Third, for quantitative languages L-1 and
L-2, we consider the operations max(L-1, L-2), min(L-1, L-2), and 1 - L-1, which
generalize the boolean operations on languages, as well as the sum L-1 + L-2.
We establish the closure properties of all classes of quantitative languages with
respect to these four operations.
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. Expressiveness and closure properties
for quantitative languages. Logical Methods in Computer Science. 2010;6(3):1-23.
doi:10.2168/LMCS-6(3:10)2010
apa: Chatterjee, K., Doyen, L., & Henzinger, T. A. (2010). Expressiveness and
closure properties for quantitative languages. Logical Methods in Computer
Science. International Federation of Computational Logic. https://doi.org/10.2168/LMCS-6(3:10)2010
chicago: Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. “Expressiveness
and Closure Properties for Quantitative Languages.” Logical Methods in Computer
Science. International Federation of Computational Logic, 2010. https://doi.org/10.2168/LMCS-6(3:10)2010.
ieee: K. Chatterjee, L. Doyen, and T. A. Henzinger, “Expressiveness and closure
properties for quantitative languages,” Logical Methods in Computer Science,
vol. 6, no. 3. International Federation of Computational Logic, pp. 1–23, 2010.
ista: Chatterjee K, Doyen L, Henzinger TA. 2010. Expressiveness and closure properties
for quantitative languages. Logical Methods in Computer Science. 6(3), 1–23.
mla: Chatterjee, Krishnendu, et al. “Expressiveness and Closure Properties for Quantitative
Languages.” Logical Methods in Computer Science, vol. 6, no. 3, International
Federation of Computational Logic, 2010, pp. 1–23, doi:10.2168/LMCS-6(3:10)2010.
short: K. Chatterjee, L. Doyen, T.A. Henzinger, Logical Methods in Computer Science
6 (2010) 1–23.
date_created: 2018-12-11T12:05:36Z
date_published: 2010-08-30T00:00:00Z
date_updated: 2023-02-23T12:15:42Z
day: '30'
ddc:
- '000'
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.2168/LMCS-6(3:10)2010
ec_funded: 1
file:
- access_level: open_access
checksum: 0243da726476817f2ea33b48b78be696
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:17:54Z
date_updated: 2020-07-14T12:46:19Z
file_id: '5312'
file_name: IST-2012-55-v1+1_Expressiveness_Closure_Properties_Quantitative_Languages.pdf
file_size: 216598
relation: main_file
- access_level: open_access
checksum: 5e512b8503a9cb263de26331c4ee9cf2
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:17:55Z
date_updated: 2020-07-14T12:46:19Z
file_id: '5313'
file_name: IST-2016-55-v2+1_1007.4018.pdf
file_size: 302416
relation: main_file
file_date_updated: 2020-07-14T12:46:19Z
has_accepted_license: '1'
intvolume: ' 6'
issue: '3'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nd/4.0/
month: '08'
oa: 1
oa_version: Published Version
page: 1 - 23
project:
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '214373'
name: Design for Embedded Systems
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '215543'
name: COMponent-Based Embedded Systems design Techniques
publication: Logical Methods in Computer Science
publication_status: published
publisher: International Federation of Computational Logic
publist_id: '2311'
pubrep_id: '504'
quality_controlled: '1'
related_material:
record:
- id: '4540'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Expressiveness and closure properties for quantitative languages
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: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6
year: '2010'
...
---
_id: '3868'
abstract:
- lang: eng
text: Simulation and bisimulation metrics for stochastic systems provide a quantitative
generalization of the classical simulation and bisimulation relations. These metrics
capture the similarity of states with respect to quantitative specifications written
in the quantitative mu-calculus and related probabilistic logics. We first show
that the metrics provide a bound for the difference in long-run average and discounted
average behavior across states, indicating that the metrics can be used both in
system verification, and in performance evaluation. For turn-based games and MDPs,
we provide a polynomial-time algorithm for the computation of the one-step metric
distance between states. The algorithm is based on linear programming; it improves
on the previous known exponential-time algorithm based on a reduction to the theory
of reals. We then present PSPACE algorithms for both the decision problem and
the problem of approximating the metric distance between two states, matching
the best known algorithms for Markov chains. For the bisimulation kernel of the
metric our algorithm works in time O(n(4)) for both turn-based games and MDPs;
improving the previously best known O(n(9).log(n)) time algorithm for MDPs. For
a concurrent game G, we show that computing the exact distance be tween states
is at least as hard as computing the value of concurrent reachability games and
the square-root-sum problem in computational geometry. We show that checking whether
the metric distance is bounded by a rational r, can be done via a reduction to
the theory of real closed fields, involving a formula with three quantifier alternations,
yielding O(vertical bar G vertical bar(O(vertical bar G vertical bar 5))) time
complexity, improving the previously known reduction, which yielded O(vertical
bar G vertical bar(O(vertical bar G vertical bar 7))) time complexity. These algorithms
can be iterated to approximate the metrics using binary search
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Luca
full_name: De Alfaro, Luca
last_name: De Alfaro
- first_name: Ritankar
full_name: Majumdar, Ritankar
last_name: Majumdar
- first_name: Vishwanath
full_name: Raman, Vishwanath
last_name: Raman
citation:
ama: Chatterjee K, De Alfaro L, Majumdar R, Raman V. Algorithms for game metrics.
Logical Methods in Computer Science. 2010;6(3):1-27. doi:10.2168/LMCS-6(3:13)2010
apa: Chatterjee, K., De Alfaro, L., Majumdar, R., & Raman, V. (2010). Algorithms
for game metrics. Logical Methods in Computer Science. International Federation
of Computational Logic. https://doi.org/10.2168/LMCS-6(3:13)2010
chicago: Chatterjee, Krishnendu, Luca De Alfaro, Ritankar Majumdar, and Vishwanath
Raman. “Algorithms for Game Metrics.” Logical Methods in Computer Science.
International Federation of Computational Logic, 2010. https://doi.org/10.2168/LMCS-6(3:13)2010.
ieee: K. Chatterjee, L. De Alfaro, R. Majumdar, and V. Raman, “Algorithms for game
metrics,” Logical Methods in Computer Science, vol. 6, no. 3. International
Federation of Computational Logic, pp. 1–27, 2010.
ista: Chatterjee K, De Alfaro L, Majumdar R, Raman V. 2010. Algorithms for game
metrics. Logical Methods in Computer Science. 6(3), 1–27.
mla: Chatterjee, Krishnendu, et al. “Algorithms for Game Metrics.” Logical Methods
in Computer Science, vol. 6, no. 3, International Federation of Computational
Logic, 2010, pp. 1–27, doi:10.2168/LMCS-6(3:13)2010.
short: K. Chatterjee, L. De Alfaro, R. Majumdar, V. Raman, Logical Methods in Computer
Science 6 (2010) 1–27.
date_created: 2018-12-11T12:05:36Z
date_published: 2010-09-01T00:00:00Z
date_updated: 2023-02-23T11:30:18Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.2168/LMCS-6(3:13)2010
file:
- access_level: open_access
checksum: a18988135fef3016c93808ecb15b55f5
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:08:11Z
date_updated: 2020-07-14T12:46:19Z
file_id: '4671'
file_name: IST-2015-370-v1+1_0809.4326.pdf
file_size: 346527
relation: main_file
file_date_updated: 2020-07-14T12:46:19Z
has_accepted_license: '1'
intvolume: ' 6'
issue: '3'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 1 - 27
publication: Logical Methods in Computer Science
publication_status: published
publisher: International Federation of Computational Logic
publist_id: '2312'
pubrep_id: '370'
quality_controlled: '1'
related_material:
record:
- id: '3504'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Algorithms for game metrics
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: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 6
year: '2010'
...
---
_id: '4388'
abstract:
- lang: eng
text: GIST is a tool that (a) solves the qualitative analysis problem of turn-based
probabilistic games with ω-regular objectives; and (b) synthesizes reasonable
environment assumptions for synthesis of unrealizable specifications. Our tool
provides the first and efficient implementations of several reduction-based techniques
to solve turn-based probabilistic games, and uses the analysis of turn-based probabilistic
games for synthesizing environment assumptions for unrealizable specifications.
alternative_title:
- LNCS
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: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Barbara
full_name: Jobstmann, Barbara
last_name: Jobstmann
- first_name: Arjun
full_name: Radhakrishna, Arjun
id: 3B51CAC4-F248-11E8-B48F-1D18A9856A87
last_name: Radhakrishna
citation:
ama: 'Chatterjee K, Henzinger TA, Jobstmann B, Radhakrishna A. GIST: A solver for
probabilistic games. In: Vol 6174. Springer; 2010:665-669. doi:10.1007/978-3-642-14295-6_57'
apa: 'Chatterjee, K., Henzinger, T. A., Jobstmann, B., & Radhakrishna, A. (2010).
GIST: A solver for probabilistic games (Vol. 6174, pp. 665–669). Presented at
the CAV: Computer Aided Verification, Edinburgh, UK: Springer. https://doi.org/10.1007/978-3-642-14295-6_57'
chicago: 'Chatterjee, Krishnendu, Thomas A Henzinger, Barbara Jobstmann, and Arjun
Radhakrishna. “GIST: A Solver for Probabilistic Games,” 6174:665–69. Springer,
2010. https://doi.org/10.1007/978-3-642-14295-6_57.'
ieee: 'K. Chatterjee, T. A. Henzinger, B. Jobstmann, and A. Radhakrishna, “GIST:
A solver for probabilistic games,” presented at the CAV: Computer Aided Verification,
Edinburgh, UK, 2010, vol. 6174, pp. 665–669.'
ista: 'Chatterjee K, Henzinger TA, Jobstmann B, Radhakrishna A. 2010. GIST: A solver
for probabilistic games. CAV: Computer Aided Verification, LNCS, vol. 6174, 665–669.'
mla: 'Chatterjee, Krishnendu, et al. GIST: A Solver for Probabilistic Games.
Vol. 6174, Springer, 2010, pp. 665–69, doi:10.1007/978-3-642-14295-6_57.'
short: K. Chatterjee, T.A. Henzinger, B. Jobstmann, A. Radhakrishna, in:, Springer,
2010, pp. 665–669.
conference:
end_date: 2010-07-17
location: Edinburgh, UK
name: 'CAV: Computer Aided Verification'
start_date: 2010-07-15
date_created: 2018-12-11T12:08:36Z
date_published: 2010-07-01T00:00:00Z
date_updated: 2023-02-23T12:24:17Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-642-14295-6_57
ec_funded: 1
external_id:
arxiv:
- '1004.2367'
file:
- access_level: open_access
checksum: 0b2ef8c4037ffccc6902d93081af24f7
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:16:33Z
date_updated: 2020-07-14T12:46:28Z
file_id: '5221'
file_name: IST-2012-43-v1+1_GIST-_A_solver_for_probabilistic_games.pdf
file_size: 293605
relation: main_file
file_date_updated: 2020-07-14T12:46:28Z
has_accepted_license: '1'
intvolume: ' 6174'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
page: 665 - 669
project:
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '215543'
name: COMponent-Based Embedded Systems design Techniques
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '214373'
name: Design for Embedded Systems
publication_status: published
publisher: Springer
publist_id: '1068'
pubrep_id: '43'
quality_controlled: '1'
related_material:
record:
- id: '5393'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: 'GIST: A solver for probabilistic games'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6174
year: '2010'
...
---
_id: '4569'
abstract:
- lang: eng
text: "Most specification languages express only qualitative constraints. However,
among two implementations that satisfy a given specification, one may be preferred
to another. For example, if a specification asks that every request is followed
by a response, one may prefer an implementation that generates responses quickly
but does not generate unnecessary responses. We use quantitative properties to
measure the “goodness” of an implementation. Using games with corresponding quantitative
objectives, we can synthesize “optimal” implementations, which are preferred among
the set of possible implementations that satisfy a given specification.\r\nIn
particular, we show how automata with lexicographic mean-payoff conditions can
be used to express many interesting quantitative properties for reactive systems.
In this framework, the synthesis of optimal implementations requires the solution
of lexicographic mean-payoff games (for safety requirements), and the solution
of games with both lexicographic mean-payoff and parity objectives (for liveness
requirements). We present algorithms for solving both kinds of novel graph games."
acknowledgement: This research was supported by the Swiss National Science Foundation
(Indo-Swiss Research Program and NCCR MICS) and the European Union projects COMBEST
and COCONUT.
alternative_title:
- LNCS
arxiv: 1
author:
- first_name: Roderick
full_name: Bloem, Roderick
last_name: Bloem
- 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: Barbara
full_name: Jobstmann, Barbara
last_name: Jobstmann
citation:
ama: 'Bloem R, Chatterjee K, Henzinger TA, Jobstmann B. Better quality in synthesis
through quantitative objectives. In: Vol 5643. Springer; 2009:140-156. doi:10.1007/978-3-642-02658-4_14'
apa: 'Bloem, R., Chatterjee, K., Henzinger, T. A., & Jobstmann, B. (2009). Better
quality in synthesis through quantitative objectives (Vol. 5643, pp. 140–156).
Presented at the CAV: Computer Aided Verification, Grenoble, France: Springer.
https://doi.org/10.1007/978-3-642-02658-4_14'
chicago: Bloem, Roderick, Krishnendu Chatterjee, Thomas A Henzinger, and Barbara
Jobstmann. “Better Quality in Synthesis through Quantitative Objectives,” 5643:140–56.
Springer, 2009. https://doi.org/10.1007/978-3-642-02658-4_14.
ieee: 'R. Bloem, K. Chatterjee, T. A. Henzinger, and B. Jobstmann, “Better quality
in synthesis through quantitative objectives,” presented at the CAV: Computer
Aided Verification, Grenoble, France, 2009, vol. 5643, pp. 140–156.'
ista: 'Bloem R, Chatterjee K, Henzinger TA, Jobstmann B. 2009. Better quality in
synthesis through quantitative objectives. CAV: Computer Aided Verification, LNCS,
vol. 5643, 140–156.'
mla: Bloem, Roderick, et al. Better Quality in Synthesis through Quantitative
Objectives. Vol. 5643, Springer, 2009, pp. 140–56, doi:10.1007/978-3-642-02658-4_14.
short: R. Bloem, K. Chatterjee, T.A. Henzinger, B. Jobstmann, in:, Springer, 2009,
pp. 140–156.
conference:
end_date: 2009-07-02
location: Grenoble, France
name: 'CAV: Computer Aided Verification'
start_date: 2009-06-26
date_created: 2018-12-11T12:09:31Z
date_published: 2009-06-19T00:00:00Z
date_updated: 2021-01-12T07:59:46Z
day: '19'
department:
- _id: KrCh
doi: 10.1007/978-3-642-02658-4_14
ec_funded: 1
external_id:
arxiv:
- '0904.2638'
intvolume: ' 5643'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0904.2638
month: '06'
oa: 1
oa_version: Preprint
page: 140 - 156
project:
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '215543'
name: COMponent-Based Embedded Systems design Techniques
publication_status: published
publisher: Springer
publist_id: '141'
quality_controlled: '1'
status: public
title: Better quality in synthesis through quantitative objectives
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5643
year: '2009'
...
---
_id: '5392'
abstract:
- lang: eng
text: We consider probabilistic automata on infinite words with acceptance defined
by safety, reachability, Büchi, coBüchi and limit-average conditions. We consider
quantitative and qualitative decision problems. We present extensions and adaptations
of proofs of [GO09] and present a precise characterization of the decidability
and undecidability frontier of the quantitative and qualitative decision problems.
alternative_title:
- IST Austria Technical Report
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: 'Chatterjee K. Probabilistic Automata on Infinite Words: Decidability and
Undecidability Results. IST Austria; 2009. doi:10.15479/AT:IST-2009-0004'
apa: 'Chatterjee, K. (2009). Probabilistic automata on infinite words: Decidability
and undecidability results. IST Austria. https://doi.org/10.15479/AT:IST-2009-0004'
chicago: 'Chatterjee, Krishnendu. Probabilistic Automata on Infinite Words: Decidability
and Undecidability Results. IST Austria, 2009. https://doi.org/10.15479/AT:IST-2009-0004.'
ieee: 'K. Chatterjee, Probabilistic automata on infinite words: Decidability
and undecidability results. IST Austria, 2009.'
ista: 'Chatterjee K. 2009. Probabilistic automata on infinite words: Decidability
and undecidability results, IST Austria, 17p.'
mla: 'Chatterjee, Krishnendu. Probabilistic Automata on Infinite Words: Decidability
and Undecidability Results. IST Austria, 2009, doi:10.15479/AT:IST-2009-0004.'
short: 'K. Chatterjee, Probabilistic Automata on Infinite Words: Decidability and
Undecidability Results, IST Austria, 2009.'
date_created: 2018-12-12T11:39:04Z
date_published: 2009-11-02T00:00:00Z
date_updated: 2023-02-23T11:45:44Z
day: '02'
ddc:
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2009-0004
file:
- access_level: open_access
checksum: fb7563150231325b00b1718d956f687b
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:54:08Z
date_updated: 2020-07-14T12:46:43Z
file_id: '5530'
file_name: IST-2009-0004_IST-2009-0004.pdf
file_size: 311065
relation: main_file
file_date_updated: 2020-07-14T12:46:43Z
has_accepted_license: '1'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: '17'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '28'
related_material:
record:
- id: '3857'
relation: later_version
status: public
status: public
title: 'Probabilistic automata on infinite words: Decidability and undecidability
results'
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2009'
...
---
_id: '5393'
abstract:
- lang: eng
text: Gist is a tool that (a) solves the qualitative analysis problem of turn-based
probabilistic games with ω-regular objectives; and (b) synthesizes reasonable
environment assumptions for synthesis of unrealizable specifications. Our tool
provides efficient implementations of several reduction based techniques to solve
turn-based probabilistic games, and uses the analysis of turn-based probabilistic
games for synthesizing environment assumptions for unrealizable specifications.
alternative_title:
- IST Austria Technical Report
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: Barbara
full_name: Jobstmann, Barbara
last_name: Jobstmann
- first_name: Arjun
full_name: Radhakrishna, Arjun
id: 3B51CAC4-F248-11E8-B48F-1D18A9856A87
last_name: Radhakrishna
citation:
ama: 'Chatterjee K, Henzinger TA, Jobstmann B, Radhakrishna A. Gist: A Solver
for Probabilistic Games. IST Austria; 2009. doi:10.15479/AT:IST-2009-0003'
apa: 'Chatterjee, K., Henzinger, T. A., Jobstmann, B., & Radhakrishna, A. (2009).
Gist: A solver for probabilistic games. IST Austria. https://doi.org/10.15479/AT:IST-2009-0003'
chicago: 'Chatterjee, Krishnendu, Thomas A Henzinger, Barbara Jobstmann, and Arjun
Radhakrishna. Gist: A Solver for Probabilistic Games. IST Austria, 2009.
https://doi.org/10.15479/AT:IST-2009-0003.'
ieee: 'K. Chatterjee, T. A. Henzinger, B. Jobstmann, and A. Radhakrishna, Gist:
A solver for probabilistic games. IST Austria, 2009.'
ista: 'Chatterjee K, Henzinger TA, Jobstmann B, Radhakrishna A. 2009. Gist: A solver
for probabilistic games, IST Austria, 12p.'
mla: 'Chatterjee, Krishnendu, et al. Gist: A Solver for Probabilistic Games.
IST Austria, 2009, doi:10.15479/AT:IST-2009-0003.'
short: 'K. Chatterjee, T.A. Henzinger, B. Jobstmann, A. Radhakrishna, Gist: A Solver
for Probabilistic Games, IST Austria, 2009.'
date_created: 2018-12-12T11:39:05Z
date_published: 2009-10-09T00:00:00Z
date_updated: 2023-02-23T12:09:01Z
day: '09'
ddc:
- '000'
- '005'
department:
- _id: KrCh
- _id: ToHe
doi: 10.15479/AT:IST-2009-0003
file:
- access_level: open_access
checksum: 49551ac552915b17593a14c993845274
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:52:58Z
date_updated: 2020-07-14T12:46:43Z
file_id: '5459'
file_name: IST-2009-0003_IST-2009-0003.pdf
file_size: 386866
relation: main_file
file_date_updated: 2020-07-14T12:46:43Z
has_accepted_license: '1'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: '12'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '29'
related_material:
record:
- id: '4388'
relation: later_version
status: public
status: public
title: 'Gist: A solver for probabilistic games'
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2009'
...
---
_id: '5394'
abstract:
- lang: eng
text: We consider two-player games played on graphs with request-response and finitary
Streett objectives. We show these games are PSPACE-hard, improving the previous
known NP-hardness. We also improve the lower bounds on memory required by the
winning strategies for the players.
alternative_title:
- IST Austria Technical Report
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: Florian
full_name: Horn, Florian
id: 37327ACE-F248-11E8-B48F-1D18A9856A87
last_name: Horn
citation:
ama: Chatterjee K, Henzinger TA, Horn F. Improved Lower Bounds for Request-Response
and Finitary Streett Games. IST Austria; 2009. doi:10.15479/AT:IST-2009-0002
apa: Chatterjee, K., Henzinger, T. A., & Horn, F. (2009). Improved lower
bounds for request-response and finitary Streett games. IST Austria. https://doi.org/10.15479/AT:IST-2009-0002
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Florian Horn. Improved
Lower Bounds for Request-Response and Finitary Streett Games. IST Austria,
2009. https://doi.org/10.15479/AT:IST-2009-0002.
ieee: K. Chatterjee, T. A. Henzinger, and F. Horn, Improved lower bounds for
request-response and finitary Streett games. IST Austria, 2009.
ista: Chatterjee K, Henzinger TA, Horn F. 2009. Improved lower bounds for request-response
and finitary Streett games, IST Austria, 11p.
mla: Chatterjee, Krishnendu, et al. Improved Lower Bounds for Request-Response
and Finitary Streett Games. IST Austria, 2009, doi:10.15479/AT:IST-2009-0002.
short: K. Chatterjee, T.A. Henzinger, F. Horn, Improved Lower Bounds for Request-Response
and Finitary Streett Games, IST Austria, 2009.
date_created: 2018-12-12T11:39:05Z
date_published: 2009-09-09T00:00:00Z
date_updated: 2020-07-14T23:07:47Z
day: '09'
ddc:
- '004'
department:
- _id: KrCh
- _id: ToHe
doi: 10.15479/AT:IST-2009-0002
file:
- access_level: open_access
checksum: 1c50a9723fbae1b2c46d18138968efb3
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:50Z
date_updated: 2020-07-14T12:46:43Z
file_id: '5511'
file_name: IST-2009-0002_IST-2009-0002.pdf
file_size: 238091
relation: main_file
file_date_updated: 2020-07-14T12:46:43Z
has_accepted_license: '1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: '11'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '30'
status: public
title: Improved lower bounds for request-response and finitary Streett games
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2009'
...
---
_id: '5395'
abstract:
- lang: eng
text: 'We study observation-based strategies for partially-observable Markov decision
processes (POMDPs) with omega-regular objectives. An observation-based strategy
relies on partial information about the history of a play, namely, on the past
sequence of observa- tions. We consider the qualitative analysis problem: given
a POMDP with an omega-regular objective, whether there is an observation-based
strategy to achieve the objective with probability 1 (almost-sure winning), or
with positive probability (positive winning). Our main results are twofold. First,
we present a complete picture of the computational complexity of the qualitative
analysis of POMDPs with parity objectives (a canonical form to express omega-regular
objectives) and its subclasses. Our contribution consists in establishing several
upper and lower bounds that were not known in literature. Second, we present optimal
bounds (matching upper and lower bounds) on the memory required by pure and randomized
observation-based strategies for the qualitative analysis of POMDPs with parity
objectives and its subclasses.'
alternative_title:
- IST Austria Technical Report
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. Qualitative Analysis of Partially-Observable
Markov Decision Processes. IST Austria; 2009. doi:10.15479/AT:IST-2009-0001
apa: Chatterjee, K., Doyen, L., & Henzinger, T. A. (2009). Qualitative analysis
of partially-observable Markov decision processes. IST Austria. https://doi.org/10.15479/AT:IST-2009-0001
chicago: Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. Qualitative
Analysis of Partially-Observable Markov Decision Processes. IST Austria, 2009.
https://doi.org/10.15479/AT:IST-2009-0001.
ieee: K. Chatterjee, L. Doyen, and T. A. Henzinger, Qualitative analysis of partially-observable
Markov decision processes. IST Austria, 2009.
ista: Chatterjee K, Doyen L, Henzinger TA. 2009. Qualitative analysis of partially-observable
Markov decision processes, IST Austria, 20p.
mla: Chatterjee, Krishnendu, et al. Qualitative Analysis of Partially-Observable
Markov Decision Processes. IST Austria, 2009, doi:10.15479/AT:IST-2009-0001.
short: K. Chatterjee, L. Doyen, T.A. Henzinger, Qualitative Analysis of Partially-Observable
Markov Decision Processes, IST Austria, 2009.
date_created: 2018-12-12T11:39:05Z
date_published: 2009-09-09T00:00:00Z
date_updated: 2023-02-23T11:45:39Z
day: '09'
ddc:
- '005'
department:
- _id: KrCh
- _id: ToHe
doi: 10.15479/AT:IST-2009-0001
file:
- access_level: open_access
checksum: 04d9cc065cc19598a4e8631c47f1a562
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:25Z
date_updated: 2020-07-14T12:46:43Z
file_id: '5486'
file_name: IST-2009-0001_IST-2009-0001.pdf
file_size: 342088
relation: main_file
file_date_updated: 2020-07-14T12:46:43Z
has_accepted_license: '1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: '20'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '31'
related_material:
record:
- id: '3855'
relation: later_version
status: public
status: public
title: Qualitative analysis of partially-observable Markov decision processes
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2009'
...
---
_id: '3870'
abstract:
- lang: eng
text: Games on graphs with omega-regular objectives provide a model for the control
and synthesis of reactive systems. Every omega-regular objective can be decomposed
into a safety part and a liveness part. The liveness part ensures that something
good happens “eventually.” Two main strengths of the classical, infinite-limit
formulation of liveness are robustness (independence from the granularity of transitions)
and simplicity (abstraction of complicated time bounds). However, the classical
liveness formulation suffers from the drawback that the time until something good
happens may be unbounded. A stronger formulation of liveness, so-called finitary
liveness, overcomes this drawback, while still retaining robustness and simplicity.
Finitary liveness requires that there exists an unknown, fixed bound b such that
something good happens within b transitions. While for one-shot liveness (reachability)
objectives, classical and finitary liveness coincide, for repeated liveness (Buchi)
objectives, the finitary formulation is strictly stronger. In this work we study
games with finitary parity and Streett objectives. We prove the determinacy of
these games, present algorithms for solving these games, and characterize the
memory requirements of winning strategies. We show that finitary parity games
can be solved in polynomial time, which is not known for infinitary parity games.
For finitary Streett games, we give an EXPTIME algorithm and show that the problem
is NP-hard. Our algorithms can be used, for example, for synthesizing controllers
that do not let the response time of a system increase without bound.
acknowledgement: "This research was supported in part by the AFOSR MURI grant F49620-00-1-0327,
the NSF grants CCR-0132780, CNS-0720884, and CCR- 225610, by the Swiss National
Science Foundation, by the COMBEST project of the European Union, and EU-TMR network
Games.\r\nWe thank anonymous reviewers for useful comments."
article_number: '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: Florian
full_name: Horn, Florian
id: 37327ACE-F248-11E8-B48F-1D18A9856A87
last_name: Horn
citation:
ama: Chatterjee K, Henzinger TA, Horn F. Finitary winning in omega-regular games.
ACM Transactions on Computational Logic (TOCL). 2009;11(1). doi:10.1145/1614431.1614432
apa: Chatterjee, K., Henzinger, T. A., & Horn, F. (2009). Finitary winning in
omega-regular games. ACM Transactions on Computational Logic (TOCL). ACM.
https://doi.org/10.1145/1614431.1614432
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Florian Horn. “Finitary
Winning in Omega-Regular Games.” ACM Transactions on Computational Logic (TOCL).
ACM, 2009. https://doi.org/10.1145/1614431.1614432.
ieee: K. Chatterjee, T. A. Henzinger, and F. Horn, “Finitary winning in omega-regular
games,” ACM Transactions on Computational Logic (TOCL), vol. 11, no. 1.
ACM, 2009.
ista: Chatterjee K, Henzinger TA, Horn F. 2009. Finitary winning in omega-regular
games. ACM Transactions on Computational Logic (TOCL). 11(1), 1.
mla: Chatterjee, Krishnendu, et al. “Finitary Winning in Omega-Regular Games.” ACM
Transactions on Computational Logic (TOCL), vol. 11, no. 1, 1, ACM, 2009,
doi:10.1145/1614431.1614432.
short: K. Chatterjee, T.A. Henzinger, F. Horn, ACM Transactions on Computational
Logic (TOCL) 11 (2009).
date_created: 2018-12-11T12:05:37Z
date_published: 2009-10-01T00:00:00Z
date_updated: 2021-01-12T07:52:50Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1145/1614431.1614432
ec_funded: 1
file:
- access_level: open_access
checksum: 139c4586d24f11e5da31fb3a0cf96ef4
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:15:08Z
date_updated: 2020-07-14T12:46:20Z
file_id: '5125'
file_name: IST-2012-53-v1+1_Finitary_winning_in_omega-regular_games.pdf
file_size: 180082
relation: main_file
file_date_updated: 2020-07-14T12:46:20Z
has_accepted_license: '1'
intvolume: ' 11'
issue: '1'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
project:
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '215543'
name: COMponent-Based Embedded Systems design Techniques
publication: ACM Transactions on Computational Logic (TOCL)
publication_status: published
publisher: ACM
publist_id: '2309'
pubrep_id: '53'
quality_controlled: '1'
scopus_import: 1
status: public
title: Finitary winning in omega-regular games
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 11
year: '2009'
...
---
_id: '3871'
abstract:
- lang: eng
text: 'Nondeterministic weighted automata are finite automata with numerical weights
oil transitions. They define quantitative languages 1, that assign to each word
v; a real number L(w). The value of ail infinite word w is computed as the maximal
value of all runs over w, and the value of a run as the supremum, limsup liminf,
limit average, or discounted sum of the transition weights. We introduce probabilistic
weighted antomata, in which the transitions are chosen in a randomized (rather
than nondeterministic) fashion. Under almost-sure semantics (resp. positive semantics),
the value of a word v) is the largest real v such that the runs over w have value
at least v with probability I (resp. positive probability). We study the classical
questions of automata theory for probabilistic weighted automata: emptiness and
universality, expressiveness, and closure under various operations oil languages.
For quantitative languages, emptiness university axe defined as whether the value
of some (resp. every) word exceeds a given threshold. We prove some, of these
questions to he decidable, and others undecidable. Regarding expressive power,
we show that probabilities allow its to define a wide variety of new classes of
quantitative languages except for discounted-sum automata, where probabilistic
choice is no more expressive than nondeterminism. Finally we live ail almost complete
picture of the closure of various classes of probabilistic weighted automata for
the following, provide, is operations oil quantitative languages: maximum, sum.
and numerical complement.'
acknowledgement: This research was supported in part by the Swiss National Science
Foundation under the Indo-Swiss Joint Research Programme, by the European Network
of Excellence on Embedded Systems Design (ArtistDesign), by the European projects
Combest, Quasimodo, and Gasics, by the PAI program Moves funded by the Belgian Federal
Government, and by the CFV (Federated Center in Verification ) funded by the F.R.S.-FNRS.
alternative_title:
- LNCS
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. Probabilistic weighted automata. In:
Vol 5710. Springer; 2009:244-258. doi:10.1007/978-3-642-04081-8_17'
apa: 'Chatterjee, K., Doyen, L., & Henzinger, T. A. (2009). Probabilistic weighted
automata (Vol. 5710, pp. 244–258). Presented at the CONCUR: Concurrency Theory,
Bologna, Italy: Springer. https://doi.org/10.1007/978-3-642-04081-8_17'
chicago: Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. “Probabilistic
Weighted Automata,” 5710:244–58. Springer, 2009. https://doi.org/10.1007/978-3-642-04081-8_17.
ieee: 'K. Chatterjee, L. Doyen, and T. A. Henzinger, “Probabilistic weighted automata,”
presented at the CONCUR: Concurrency Theory, Bologna, Italy, 2009, vol. 5710,
pp. 244–258.'
ista: 'Chatterjee K, Doyen L, Henzinger TA. 2009. Probabilistic weighted automata.
CONCUR: Concurrency Theory, LNCS, vol. 5710, 244–258.'
mla: Chatterjee, Krishnendu, et al. Probabilistic Weighted Automata. Vol.
5710, Springer, 2009, pp. 244–58, doi:10.1007/978-3-642-04081-8_17.
short: K. Chatterjee, L. Doyen, T.A. Henzinger, in:, Springer, 2009, pp. 244–258.
conference:
end_date: 2009-09-04
location: Bologna, Italy
name: 'CONCUR: Concurrency Theory'
start_date: 2009-09-01
date_created: 2018-12-11T12:05:37Z
date_published: 2009-09-01T00:00:00Z
date_updated: 2021-01-12T07:52:50Z
day: '01'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.1007/978-3-642-04081-8_17
ec_funded: 1
file:
- access_level: open_access
checksum: af973ddbcf131b8810c6bff2c055ff56
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:09:46Z
date_updated: 2020-07-14T12:46:20Z
file_id: '4771'
file_name: IST-2012-52-v1+1_Probabilistic_Weighted_Automata.pdf
file_size: 200161
relation: main_file
file_date_updated: 2020-07-14T12:46:20Z
has_accepted_license: '1'
intvolume: ' 5710'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Submitted Version
page: 244 - 258
project:
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '214373'
name: Design for Embedded Systems
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '215543'
name: COMponent-Based Embedded Systems design Techniques
publication_status: published
publisher: Springer
publist_id: '2304'
pubrep_id: '52'
quality_controlled: '1'
scopus_import: 1
status: public
title: Probabilistic weighted automata
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5710
year: '2009'
...
---
_id: '4542'
abstract:
- lang: eng
text: "Weighted automata are finite automata with numerical weights on transitions.
Nondeterministic weighted automata define quantitative languages L that assign
to each word w a real number L(w) computed as the maximal value of all runs over
w, and the value of a run r is a function of the sequence of weights that appear
along r. There are several natural functions to consider such as Sup, LimSup,
LimInf, limit average, and discounted sum of transition weights.\r\nWe introduce
alternating weighted automata in which the transitions of the runs are chosen
by two players in a turn-based fashion. Each word is assigned the maximal value
of a run that the first player can enforce regardless of the choices made by the
second player. We survey the results about closure properties, expressiveness,
and decision problems for nondeterministic weighted automata, and we extend these
results to alternating weighted automata.\r\nFor quantitative languages L 1 and
L 2, we consider the pointwise operations max(L 1,L 2), min(L 1,L 2), 1 − L 1,
and the sum L 1 + L 2. We establish the closure properties of all classes of alternating
weighted automata with respect to these four operations.\r\nWe next compare the
expressive power of the various classes of alternating and nondeterministic weighted
automata over infinite words. In particular, for limit average and discounted
sum, we show that alternation brings more expressive power than nondeterminism.\r\nFinally,
we present decidability results and open questions for the quantitative extension
of the classical decision problems in automata theory: emptiness, universality,
language inclusion, and language equivalence."
acknowledgement: This research was supported in part by the Swiss National Science
Foundation under the Indo-Swiss Joint Research Programme, by the European Network
of Excellence on Embedded Systems Design (ArtistDesign), by the European Combest,
Quasimodo, and Gasics projects, by the PAI program Moves funded by the Belgian Federal
Government, and by the CFV (Federated Center in Verification) funded by the F.R.S.-FNRS.
alternative_title:
- LNCS
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. Alternating weighted automata. In: Vol
5699. Springer; 2009:3-13. doi:10.1007/978-3-642-03409-1_2'
apa: 'Chatterjee, K., Doyen, L., & Henzinger, T. A. (2009). Alternating weighted
automata (Vol. 5699, pp. 3–13). Presented at the FCT: Fundamentals of Computation
Theory, Wroclaw, Poland: Springer. https://doi.org/10.1007/978-3-642-03409-1_2'
chicago: Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. “Alternating
Weighted Automata,” 5699:3–13. Springer, 2009. https://doi.org/10.1007/978-3-642-03409-1_2.
ieee: 'K. Chatterjee, L. Doyen, and T. A. Henzinger, “Alternating weighted automata,”
presented at the FCT: Fundamentals of Computation Theory, Wroclaw, Poland, 2009,
vol. 5699, pp. 3–13.'
ista: 'Chatterjee K, Doyen L, Henzinger TA. 2009. Alternating weighted automata.
FCT: Fundamentals of Computation Theory, LNCS, vol. 5699, 3–13.'
mla: Chatterjee, Krishnendu, et al. Alternating Weighted Automata. Vol. 5699,
Springer, 2009, pp. 3–13, doi:10.1007/978-3-642-03409-1_2.
short: K. Chatterjee, L. Doyen, T.A. Henzinger, in:, Springer, 2009, pp. 3–13.
conference:
end_date: 2009-09-04
location: Wroclaw, Poland
name: 'FCT: Fundamentals of Computation Theory'
start_date: 2009-09-02
date_created: 2018-12-11T12:09:23Z
date_published: 2009-09-10T00:00:00Z
date_updated: 2021-01-12T07:59:34Z
day: '10'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1007/978-3-642-03409-1_2
ec_funded: 1
file:
- access_level: open_access
checksum: e8f53abb63579de3f2bff58b2a1188e2
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:15:09Z
date_updated: 2020-07-14T12:46:31Z
file_id: '5126'
file_name: IST-2012-39-v1+1_Alternating_Weighted_Automata.pdf
file_size: 164428
relation: main_file
file_date_updated: 2020-07-14T12:46:31Z
has_accepted_license: '1'
intvolume: ' 5699'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Submitted Version
page: 3 - 13
project:
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '214373'
name: Design for Embedded Systems
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '215543'
name: COMponent-Based Embedded Systems design Techniques
publication_status: published
publisher: Springer
publist_id: '180'
pubrep_id: '39'
quality_controlled: '1'
scopus_import: 1
status: public
title: Alternating weighted automata
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5699
year: '2009'
...
---
_id: '4543'
abstract:
- lang: eng
text: The synthesis of a reactive system with respect to all omega-regular specification
requires the solution of a graph game. Such games have been extended in two natural
ways. First, a game graph can be equipped with probabilistic choices between alternative
transitions, thus allowing the, modeling of uncertain behaviour. These are called
stochastic games. Second, a liveness specification can he strengthened to require
satisfaction within all unknown but bounded amount of time. These are called finitary
objectives. We study. for the first time, the, combination of Stochastic games
and finitary objectives. We characterize the requirements on optimal strategies
and provide algorithms for Computing the maximal achievable probability of winning
stochastic games with finitary parity or Street, objectives. Most notably the
set of state's from which a player can win with probability . for a finitary parity
objective can he computed in polynomial time even though no polynomial-time algorithm
is known in the nonfinitary case.
acknowledgement: This research was supported in part by the Swiss National Science
Foundation under the Indo-Swiss Joint Research Programme, by the European Network
of Excellence on Embedded Systems Design (ArtistDesign), and by the European project
Combest.
alternative_title:
- LNCS
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: Florian
full_name: Horn, Florian
id: 37327ACE-F248-11E8-B48F-1D18A9856A87
last_name: Horn
citation:
ama: 'Chatterjee K, Henzinger TA, Horn F. Stochastic games with finitary objectives.
In: Vol 5734. Springer; 2009:34-54. doi:10.1007/978-3-642-03816-7_4'
apa: 'Chatterjee, K., Henzinger, T. A., & Horn, F. (2009). Stochastic games
with finitary objectives (Vol. 5734, pp. 34–54). Presented at the MFCS: Mathematical
Foundations of Computer Science, High Tatras, Slovakia: Springer. https://doi.org/10.1007/978-3-642-03816-7_4'
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Florian Horn. “Stochastic
Games with Finitary Objectives,” 5734:34–54. Springer, 2009. https://doi.org/10.1007/978-3-642-03816-7_4.
ieee: 'K. Chatterjee, T. A. Henzinger, and F. Horn, “Stochastic games with finitary
objectives,” presented at the MFCS: Mathematical Foundations of Computer Science,
High Tatras, Slovakia, 2009, vol. 5734, pp. 34–54.'
ista: 'Chatterjee K, Henzinger TA, Horn F. 2009. Stochastic games with finitary
objectives. MFCS: Mathematical Foundations of Computer Science, LNCS, vol. 5734,
34–54.'
mla: Chatterjee, Krishnendu, et al. Stochastic Games with Finitary Objectives.
Vol. 5734, Springer, 2009, pp. 34–54, doi:10.1007/978-3-642-03816-7_4.
short: K. Chatterjee, T.A. Henzinger, F. Horn, in:, Springer, 2009, pp. 34–54.
conference:
end_date: 2009-08-28
location: High Tatras, Slovakia
name: 'MFCS: Mathematical Foundations of Computer Science'
start_date: 2009-08-24
date_created: 2018-12-11T12:09:24Z
date_published: 2009-08-01T00:00:00Z
date_updated: 2021-01-12T07:59:35Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-642-03816-7_4
ec_funded: 1
intvolume: ' 5734'
language:
- iso: eng
month: '08'
oa_version: None
page: 34 - 54
project:
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '215543'
name: COMponent-Based Embedded Systems design Techniques
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '214373'
name: Design for Embedded Systems
publication_status: published
publisher: Springer
publist_id: '178'
quality_controlled: '1'
scopus_import: 1
status: public
title: Stochastic games with finitary objectives
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5734
year: '2009'
...
---
_id: '4545'
abstract:
- lang: eng
text: 'A stochastic game is a two-player game played oil a graph, where in each
state the successor is chosen either by One of the players, or according to a
probability distribution. We Survey Stochastic games with limsup and liminf objectives.
A real-valued re-ward is assigned to each state, and the value of all infinite
path is the limsup (resp. liminf) of all rewards along the path. The value of
a stochastic game is the maximal expected value of an infinite path that call
he achieved by resolving the decisions of the first player. We present the complexity
of computing values of Stochastic games and their subclasses, and the complexity,
of optimal strategies in such games. '
acknowledgement: This research was supported in part by the Swiss National Science
Foundation under the Indo-Swiss Joint Research Programme, by the European Network
of Excellence on Embedded Systems Design (ArtistDesign), by the European projects
COMBEST, Quasimodo, Gasics, by the PAI program Moves funded by the Belgian Federal
Government, and by the CFV (Federated Center in Verification) funded by the F.R.S.-FNRS.
alternative_title:
- LNCS
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. A survey of stochastic games with limsup
and liminf objectives. In: Vol 5556. Springer; 2009:1-15. doi:10.1007/978-3-642-02930-1_1'
apa: 'Chatterjee, K., Doyen, L., & Henzinger, T. A. (2009). A survey of stochastic
games with limsup and liminf objectives (Vol. 5556, pp. 1–15). Presented at the
ICALP: Automata, Languages and Programming, Rhodos, Greece: Springer. https://doi.org/10.1007/978-3-642-02930-1_1'
chicago: Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. “A Survey
of Stochastic Games with Limsup and Liminf Objectives,” 5556:1–15. Springer, 2009.
https://doi.org/10.1007/978-3-642-02930-1_1.
ieee: 'K. Chatterjee, L. Doyen, and T. A. Henzinger, “A survey of stochastic games
with limsup and liminf objectives,” presented at the ICALP: Automata, Languages
and Programming, Rhodos, Greece, 2009, vol. 5556, pp. 1–15.'
ista: 'Chatterjee K, Doyen L, Henzinger TA. 2009. A survey of stochastic games with
limsup and liminf objectives. ICALP: Automata, Languages and Programming, LNCS,
vol. 5556, 1–15.'
mla: Chatterjee, Krishnendu, et al. A Survey of Stochastic Games with Limsup
and Liminf Objectives. Vol. 5556, Springer, 2009, pp. 1–15, doi:10.1007/978-3-642-02930-1_1.
short: K. Chatterjee, L. Doyen, T.A. Henzinger, in:, Springer, 2009, pp. 1–15.
conference:
end_date: 2009-07-12
location: Rhodos, Greece
name: 'ICALP: Automata, Languages and Programming'
start_date: 2009-07-05
date_created: 2018-12-11T12:09:24Z
date_published: 2009-06-24T00:00:00Z
date_updated: 2021-01-12T07:59:35Z
day: '24'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.1007/978-3-642-02930-1_1
ec_funded: 1
file:
- access_level: open_access
checksum: dabb6d24428a000254c95493d9c492e6
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:13:11Z
date_updated: 2020-07-14T12:46:31Z
file_id: '4992'
file_name: IST-2012-38-v1+1_A_survey_of_stochastic_games_with_limsup_and_liminf_objectives.pdf
file_size: 187419
relation: main_file
file_date_updated: 2020-07-14T12:46:31Z
has_accepted_license: '1'
intvolume: ' 5556'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
page: 1 - 15
project:
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '215543'
name: COMponent-Based Embedded Systems design Techniques
publication_status: published
publisher: Springer
publist_id: '177'
pubrep_id: '38'
quality_controlled: '1'
scopus_import: 1
status: public
title: A survey of stochastic games with limsup and liminf objectives
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5556
year: '2009'
...