---
_id: '3327'
abstract:
- lang: eng
text: We solve the open problems of translating, when possible, all common classes
of nondeterministic word automata to deterministic and nondeterministic co-Büchi
word automata. The handled classes include Büchi, parity, Rabin, Streett and Muller
automata. The translations follow a unified approach and are all asymptotically
tight. The problem of translating Büchi automata to equivalent co-Büchi automata
was solved in [2], leaving open the problems of translating automata with richer
acceptance conditions. For these classes, one cannot easily extend or use the
construction in [2]. In particular, going via an intermediate Büchi automaton
is not optimal and might involve a blow-up exponentially higher than the known
lower bound. Other known translations are also not optimal and involve a doubly
exponential blow-up. We describe direct, simple, and asymptotically tight constructions,
involving a 2Θ(n) blow-up. The constructions are variants of the subset construction,
and allow for symbolic implementations. Beyond the theoretical importance of the
results, the new constructions have various applications, among which is an improved
algorithm for translating, when possible, LTL formulas to deterministic Büchi
word automata.
alternative_title:
- LNCS
author:
- first_name: Udi
full_name: Boker, Udi
id: 31E297B6-F248-11E8-B48F-1D18A9856A87
last_name: Boker
- first_name: Orna
full_name: Kupferman, Orna
last_name: Kupferman
citation:
ama: 'Boker U, Kupferman O. Co-Büching them all. In: Hofmann M, ed. Vol 6604. Springer;
2011:184-198. doi:10.1007/978-3-642-19805-2_13'
apa: 'Boker, U., & Kupferman, O. (2011). Co-Büching them all. In M. Hofmann
(Ed.) (Vol. 6604, pp. 184–198). Presented at the FoSSaCS: Foundations of Software
Science and Computation Structures, Saarbrücken, Germany: Springer. https://doi.org/10.1007/978-3-642-19805-2_13'
chicago: Boker, Udi, and Orna Kupferman. “Co-Büching Them All.” edited by Martin
Hofmann, 6604:184–98. Springer, 2011. https://doi.org/10.1007/978-3-642-19805-2_13.
ieee: 'U. Boker and O. Kupferman, “Co-Büching them all,” presented at the FoSSaCS:
Foundations of Software Science and Computation Structures, Saarbrücken, Germany,
2011, vol. 6604, pp. 184–198.'
ista: 'Boker U, Kupferman O. 2011. Co-Büching them all. FoSSaCS: Foundations of
Software Science and Computation Structures, LNCS, vol. 6604, 184–198.'
mla: Boker, Udi, and Orna Kupferman. Co-Büching Them All. Edited by Martin
Hofmann, vol. 6604, Springer, 2011, pp. 184–98, doi:10.1007/978-3-642-19805-2_13.
short: U. Boker, O. Kupferman, in:, M. Hofmann (Ed.), Springer, 2011, pp. 184–198.
conference:
end_date: 2011-04-03
location: Saarbrücken, Germany
name: 'FoSSaCS: Foundations of Software Science and Computation Structures'
start_date: 2011-03-26
date_created: 2018-12-11T12:02:41Z
date_published: 2011-03-29T00:00:00Z
date_updated: 2021-01-12T07:42:41Z
day: '29'
doi: 10.1007/978-3-642-19805-2_13
editor:
- first_name: Martin
full_name: Hofmann, Martin
last_name: Hofmann
extern: '1'
intvolume: ' 6604'
language:
- iso: eng
month: '03'
oa_version: None
page: 184 - 198
publication_status: published
publisher: Springer
publist_id: '3308'
quality_controlled: '1'
status: public
title: Co-Büching them all
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6604
year: '2011'
...
---
_id: '3337'
abstract:
- lang: eng
text: Playing table tennis is a difficult task for robots, especially due to their
limitations of acceleration. A key bottleneck is the amount of time needed to
reach the desired hitting position and velocity of the racket for returning the
incoming ball. Here, it often does not suffice to simply extrapolate the ball's
trajectory after the opponent returns it but more information is needed. Humans
are able to predict the ball's trajectory based on the opponent's moves and, thus,
have a considerable advantage. Hence, we propose to incorporate an anticipation
system into robot table tennis players, which enables the robot to react earlier
while the opponent is performing the striking movement. Based on visual observation
of the opponent's racket movement, the robot can predict the aim of the opponent
and adjust its movement generation accordingly. The policies for deciding how
and when to react are obtained by reinforcement learning. We conduct experiments
with an existing robot player to show that the learned reaction policy can significantly
improve the performance of the overall system.
author:
- first_name: Zhikun
full_name: Wang, Zhikun
last_name: Wang
- first_name: Christoph
full_name: Lampert, Christoph
id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
last_name: Lampert
orcid: 0000-0001-8622-7887
- first_name: Katharina
full_name: Mülling, Katharina
last_name: Mülling
- first_name: Bernhard
full_name: Schölkopf, Bernhard
last_name: Schölkopf
- first_name: Jan
full_name: Peters, Jan
last_name: Peters
citation:
ama: 'Wang Z, Lampert C, Mülling K, Schölkopf B, Peters J. Learning anticipation
policies for robot table tennis. In: IEEE; 2011:332-337. doi:10.1109/IROS.2011.6094892'
apa: 'Wang, Z., Lampert, C., Mülling, K., Schölkopf, B., & Peters, J. (2011).
Learning anticipation policies for robot table tennis (pp. 332–337). Presented
at the IROS: RSJ International Conference on Intelligent Robots and Systems, San
Francisco, USA: IEEE. https://doi.org/10.1109/IROS.2011.6094892'
chicago: Wang, Zhikun, Christoph Lampert, Katharina Mülling, Bernhard Schölkopf,
and Jan Peters. “Learning Anticipation Policies for Robot Table Tennis,” 332–37.
IEEE, 2011. https://doi.org/10.1109/IROS.2011.6094892.
ieee: 'Z. Wang, C. Lampert, K. Mülling, B. Schölkopf, and J. Peters, “Learning anticipation
policies for robot table tennis,” presented at the IROS: RSJ International Conference
on Intelligent Robots and Systems, San Francisco, USA, 2011, pp. 332–337.'
ista: 'Wang Z, Lampert C, Mülling K, Schölkopf B, Peters J. 2011. Learning anticipation
policies for robot table tennis. IROS: RSJ International Conference on Intelligent
Robots and Systems, 332–337.'
mla: Wang, Zhikun, et al. Learning Anticipation Policies for Robot Table Tennis.
IEEE, 2011, pp. 332–37, doi:10.1109/IROS.2011.6094892.
short: Z. Wang, C. Lampert, K. Mülling, B. Schölkopf, J. Peters, in:, IEEE, 2011,
pp. 332–337.
conference:
end_date: 2011-09-30
location: San Francisco, USA
name: 'IROS: RSJ International Conference on Intelligent Robots and Systems'
start_date: 2011-09-25
date_created: 2018-12-11T12:02:45Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:42:45Z
day: '01'
department:
- _id: ChLa
doi: 10.1109/IROS.2011.6094892
language:
- iso: eng
month: '01'
oa_version: None
page: 332 - 337
publication_status: published
publisher: IEEE
publist_id: '3293'
quality_controlled: '1'
scopus_import: 1
status: public
title: Learning anticipation policies for robot table tennis
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3339'
abstract:
- lang: eng
text: 'Turn-based stochastic games and its important subclass Markov decision processes
(MDPs) provide models for systems with both probabilistic and nondeterministic
behaviors. We consider turn-based stochastic games with two classical quantitative
objectives: discounted-sum and long-run average objectives. The game models and
the quantitative objectives are widely used in probabilistic verification, planning,
optimal inventory control, network protocol and performance analysis. Games and
MDPs that model realistic systems often have very large state spaces, and probabilistic
abstraction techniques are necessary to handle the state-space explosion. The
commonly used full-abstraction techniques do not yield space-savings for systems
that have many states with similar value, but does not necessarily have similar
transition structure. A semi-abstraction technique, namely Magnifying-lens abstractions
(MLA), that clusters states based on value only, disregarding differences in their
transition relation was proposed for qualitative objectives (reachability and
safety objectives). In this paper we extend the MLA technique to solve stochastic
games with discounted-sum and long-run average objectives. We present the MLA
technique based abstraction-refinement algorithm for stochastic games and MDPs
with discounted-sum objectives. For long-run average objectives, our solution
works for all MDPs and a sub-class of stochastic games where every state has the
same value. '
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: Roy
full_name: Pritam, Roy
last_name: Pritam
citation:
ama: Chatterjee K, De Alfaro L, Pritam R. Magnifying lens abstraction for stochastic
games with discounted and long-run average objectives. arXiv. 2011.
apa: Chatterjee, K., De Alfaro, L., & Pritam, R. (2011). Magnifying lens abstraction
for stochastic games with discounted and long-run average objectives. arXiv.
ArXiv.
chicago: Chatterjee, Krishnendu, Luca De Alfaro, and Roy Pritam. “Magnifying Lens
Abstraction for Stochastic Games with Discounted and Long-Run Average Objectives.”
ArXiv. ArXiv, 2011.
ieee: K. Chatterjee, L. De Alfaro, and R. Pritam, “Magnifying lens abstraction for
stochastic games with discounted and long-run average objectives,” arXiv.
ArXiv, 2011.
ista: Chatterjee K, De Alfaro L, Pritam R. 2011. Magnifying lens abstraction for
stochastic games with discounted and long-run average objectives. arXiv, .
mla: Chatterjee, Krishnendu, et al. “Magnifying Lens Abstraction for Stochastic
Games with Discounted and Long-Run Average Objectives.” ArXiv, ArXiv, 2011.
short: K. Chatterjee, L. De Alfaro, R. Pritam, ArXiv (2011).
date_created: 2018-12-11T12:02:46Z
date_published: 2011-07-11T00:00:00Z
date_updated: 2021-01-12T07:42:46Z
day: '11'
department:
- _id: KrCh
external_id:
arxiv:
- '1107.2132'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1107.2132
month: '07'
oa: 1
oa_version: Preprint
page: '17'
publication: arXiv
publication_status: published
publisher: ArXiv
publist_id: '3286'
status: public
title: Magnifying lens abstraction for stochastic games with discounted and long-run
average objectives
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3342'
abstract:
- lang: eng
text: 'We consider Markov decision processes (MDPs) with ω-regular specifications
given as parity objectives. We consider the problem of computing the set of almost-sure
winning states from where the objective can be ensured with probability 1. The
algorithms for the computation of the almost-sure winning set for parity objectives
iteratively use the solutions for the almost-sure winning set for Büchi objectives
(a special case of parity objectives). Our contributions are as follows: First,
we present the first subquadratic symbolic algorithm to compute the almost-sure
winning set for MDPs with Büchi objectives; our algorithm takes O(nm) symbolic
steps as compared to the previous known algorithm that takes O(n 2) symbolic steps,
where n is the number of states and m is the number of edges of the MDP. In practice
MDPs often have constant out-degree, and then our symbolic algorithm takes O(nn) symbolic
steps, as compared to the previous known O(n 2) symbolic steps algorithm. Second,
we present a new algorithm, namely win-lose algorithm, with the following two
properties: (a) the algorithm iteratively computes subsets of the almost-sure
winning set and its complement, as compared to all previous algorithms that discover
the almost-sure winning set upon termination; and (b) requires O(nK) symbolic
steps, where K is the maximal number of edges of strongly connected components
(scc’s) of the MDP. The win-lose algorithm requires symbolic computation of scc’s.
Third, we improve the algorithm for symbolic scc computation; the previous known
algorithm takes linear symbolic steps, and our new algorithm improves the constants
associated with the linear number of steps. In the worst case the previous known
algorithm takes 5·n symbolic steps, whereas our new algorithm takes 4 ·n symbolic
steps.'
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: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: Manas
full_name: Joglekar, Manas
last_name: Joglekar
- first_name: Shah
full_name: Nisarg, Shah
last_name: Nisarg
citation:
ama: 'Chatterjee K, Henzinger MH, Joglekar M, Nisarg S. Symbolic algorithms for
qualitative analysis of Markov decision processes with Büchi objectives. In: Gopalakrishnan
G, Qadeer S, eds. Vol 6806. Springer; 2011:260-276. doi:10.1007/978-3-642-22110-1_21'
apa: 'Chatterjee, K., Henzinger, M. H., Joglekar, M., & Nisarg, S. (2011). Symbolic
algorithms for qualitative analysis of Markov decision processes with Büchi objectives.
In G. Gopalakrishnan & S. Qadeer (Eds.) (Vol. 6806, pp. 260–276). Presented
at the CAV: Computer Aided Verification, Snowbird, USA: Springer. https://doi.org/10.1007/978-3-642-22110-1_21'
chicago: Chatterjee, Krishnendu, Monika H Henzinger, Manas Joglekar, and Shah Nisarg.
“Symbolic Algorithms for Qualitative Analysis of Markov Decision Processes with
Büchi Objectives.” edited by Ganesh Gopalakrishnan and Shaz Qadeer, 6806:260–76.
Springer, 2011. https://doi.org/10.1007/978-3-642-22110-1_21.
ieee: 'K. Chatterjee, M. H. Henzinger, M. Joglekar, and S. Nisarg, “Symbolic algorithms
for qualitative analysis of Markov decision processes with Büchi objectives,”
presented at the CAV: Computer Aided Verification, Snowbird, USA, 2011, vol. 6806,
pp. 260–276.'
ista: 'Chatterjee K, Henzinger MH, Joglekar M, Nisarg S. 2011. Symbolic algorithms
for qualitative analysis of Markov decision processes with Büchi objectives. CAV:
Computer Aided Verification, LNCS, vol. 6806, 260–276.'
mla: Chatterjee, Krishnendu, et al. Symbolic Algorithms for Qualitative Analysis
of Markov Decision Processes with Büchi Objectives. Edited by Ganesh Gopalakrishnan
and Shaz Qadeer, vol. 6806, Springer, 2011, pp. 260–76, doi:10.1007/978-3-642-22110-1_21.
short: K. Chatterjee, M.H. Henzinger, M. Joglekar, S. Nisarg, in:, G. Gopalakrishnan,
S. Qadeer (Eds.), Springer, 2011, pp. 260–276.
conference:
end_date: 2011-07-20
location: Snowbird, USA
name: 'CAV: Computer Aided Verification'
start_date: 2011-07-14
date_created: 2018-12-11T12:02:47Z
date_published: 2011-08-11T00:00:00Z
date_updated: 2023-02-23T11:00:13Z
day: '11'
department:
- _id: KrCh
doi: 10.1007/978-3-642-22110-1_21
editor:
- first_name: Ganesh
full_name: Gopalakrishnan, Ganesh
last_name: Gopalakrishnan
- first_name: Shaz
full_name: Qadeer, Shaz
last_name: Qadeer
external_id:
arxiv:
- '1104.3348'
intvolume: ' 6806'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1104.3348
month: '08'
oa: 1
oa_version: Preprint
page: 260 - 276
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication_status: published
publisher: Springer
publist_id: '3282'
quality_controlled: '1'
related_material:
record:
- id: '2831'
relation: later_version
status: public
status: public
title: Symbolic algorithms for qualitative analysis of Markov decision processes with
Büchi objectives
type: conference
user_id: 72615eeb-f1f3-11ec-aa25-d4573ddc34fd
volume: 6806
year: '2011'
...
---
_id: '3347'
abstract:
- lang: eng
text: 'The class of omega-regular languages provides a robust specification language
in verification. Every omega-regular condition can be decomposed into a safety
part and a liveness part. The liveness part ensures that something good happens
"eventually". Finitary liveness was proposed by Alur and Henzinger as
a stronger formulation of liveness. It requires that there exists an unknown,
fixed bound b such that something good happens within b transitions. In this work
we consider automata with finitary acceptance conditions defined by finitary Buchi,
parity and Streett languages. We study languages expressible by such automata:
we give their topological complexity and present a regular-expression characterization.
We compare the expressive power of finitary automata and give optimal algorithms
for classical decisions questions. We show that the finitary languages are Sigma
2-complete; we present a complete picture of the expressive power of various classes
of automata with finitary and infinitary acceptance conditions; we show that the
languages defined by finitary parity automata exactly characterize the star-free
fragment of omega B-regular languages; and we show that emptiness is NLOGSPACE-complete
and universality as well as language inclusion are PSPACE-complete for finitary
parity and Streett automata.'
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: Nathanaël
full_name: Fijalkow, Nathanaël
id: A1B5DD72-E997-11E9-8398-E808B6C6ADC0
last_name: Fijalkow
citation:
ama: 'Chatterjee K, Fijalkow N. Finitary languages. In: Vol 6638. Springer; 2011:216-226.
doi:10.1007/978-3-642-21254-3_16'
apa: 'Chatterjee, K., & Fijalkow, N. (2011). Finitary languages (Vol. 6638,
pp. 216–226). Presented at the LATA: Language and Automata Theory and Applications,
Tarragona, Spain: Springer. https://doi.org/10.1007/978-3-642-21254-3_16'
chicago: Chatterjee, Krishnendu, and Nathanaël Fijalkow. “Finitary Languages,” 6638:216–26.
Springer, 2011. https://doi.org/10.1007/978-3-642-21254-3_16.
ieee: 'K. Chatterjee and N. Fijalkow, “Finitary languages,” presented at the LATA:
Language and Automata Theory and Applications, Tarragona, Spain, 2011, vol. 6638,
pp. 216–226.'
ista: 'Chatterjee K, Fijalkow N. 2011. Finitary languages. LATA: Language and Automata
Theory and Applications, LNCS, vol. 6638, 216–226.'
mla: Chatterjee, Krishnendu, and Nathanaël Fijalkow. Finitary Languages.
Vol. 6638, Springer, 2011, pp. 216–26, doi:10.1007/978-3-642-21254-3_16.
short: K. Chatterjee, N. Fijalkow, in:, Springer, 2011, pp. 216–226.
conference:
end_date: 2011-05-31
location: Tarragona, Spain
name: 'LATA: Language and Automata Theory and Applications'
start_date: 2011-05-26
date_created: 2018-12-11T12:02:48Z
date_published: 2011-06-16T00:00:00Z
date_updated: 2021-01-12T07:42:50Z
day: '16'
department:
- _id: KrCh
doi: 10.1007/978-3-642-21254-3_16
external_id:
arxiv:
- '1101.1727'
intvolume: ' 6638'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1101.1727
month: '06'
oa: 1
oa_version: Preprint
page: 216 - 226
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication_status: published
publisher: Springer
publist_id: '3274'
quality_controlled: '1'
scopus_import: 1
status: public
title: Finitary languages
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6638
year: '2011'
...
---
_id: '3346'
abstract:
- lang: eng
text: We study Markov decision processes (MDPs) with multiple limit-average (or
mean-payoff) functions. We consider two different objectives, namely, expectation
and satisfaction objectives. Given an MDP with k reward functions, in the expectation
objective the goal is to maximize the expected limit-average value, and in the
satisfaction objective the goal is to maximize the probability of runs such that
the limit-average value stays above a given vector. We show that under the expectation
objective, in contrast to the single-objective case, both randomization and memory
are necessary for strategies, and that finite-memory randomized strategies are
sufficient. Under the satisfaction objective, in contrast to the single-objective
case, infinite memory is necessary for strategies, and that randomized memoryless
strategies are sufficient for epsilon-approximation, for all epsilon>;0. We
further prove that the decision problems for both expectation and satisfaction
objectives can be solved in polynomial time and the trade-off curve (Pareto curve)
can be epsilon-approximated in time polynomial in the size of the MDP and 1/epsilon,
and exponential in the number of reward functions, for all epsilon>;0. Our
results also reveal flaws in previous work for MDPs with multiple mean-payoff
functions under the expectation objective, correct the flaws and obtain improved
results.
article_number: '5970225'
author:
- first_name: Tomáš
full_name: Brázdil, Tomáš
last_name: Brázdil
- first_name: Václav
full_name: Brožek, Václav
last_name: Brožek
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Vojtěch
full_name: Forejt, Vojtěch
last_name: Forejt
- first_name: Antonín
full_name: Kučera, Antonín
last_name: Kučera
citation:
ama: 'Brázdil T, Brožek V, Chatterjee K, Forejt V, Kučera A. Two views on multiple
mean payoff objectives in Markov Decision Processes. In: IEEE; 2011. doi:10.1109/LICS.2011.10'
apa: 'Brázdil, T., Brožek, V., Chatterjee, K., Forejt, V., & Kučera, A. (2011).
Two views on multiple mean payoff objectives in Markov Decision Processes. Presented
at the LICS: Logic in Computer Science, Toronto, Canada: IEEE. https://doi.org/10.1109/LICS.2011.10'
chicago: Brázdil, Tomáš, Václav Brožek, Krishnendu Chatterjee, Vojtěch Forejt, and
Antonín Kučera. “Two Views on Multiple Mean Payoff Objectives in Markov Decision
Processes.” IEEE, 2011. https://doi.org/10.1109/LICS.2011.10.
ieee: 'T. Brázdil, V. Brožek, K. Chatterjee, V. Forejt, and A. Kučera, “Two views
on multiple mean payoff objectives in Markov Decision Processes,” presented at
the LICS: Logic in Computer Science, Toronto, Canada, 2011.'
ista: 'Brázdil T, Brožek V, Chatterjee K, Forejt V, Kučera A. 2011. Two views on
multiple mean payoff objectives in Markov Decision Processes. LICS: Logic in Computer
Science, 5970225.'
mla: Brázdil, Tomáš, et al. Two Views on Multiple Mean Payoff Objectives in Markov
Decision Processes. 5970225, IEEE, 2011, doi:10.1109/LICS.2011.10.
short: T. Brázdil, V. Brožek, K. Chatterjee, V. Forejt, A. Kučera, in:, IEEE, 2011.
conference:
end_date: 2011-06-24
location: Toronto, Canada
name: 'LICS: Logic in Computer Science'
start_date: 2011-06-21
date_created: 2018-12-11T12:02:48Z
date_published: 2011-06-21T00:00:00Z
date_updated: 2021-01-12T07:42:49Z
day: '21'
department:
- _id: KrCh
doi: 10.1109/LICS.2011.10
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1104.3489
month: '06'
oa: 1
oa_version: Submitted Version
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication_status: published
publisher: IEEE
publist_id: '3275'
quality_controlled: '1'
scopus_import: 1
status: public
title: Two views on multiple mean payoff objectives in Markov Decision Processes
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3348'
abstract:
- lang: eng
text: We study synthesis of controllers for real-time systems, where the objective
is to stay in a given safe set. The problem is solved by obtaining winning strategies
in the setting of concurrent two-player timed automaton games with safety objectives.
To prevent a player from winning by blocking time, we restrict each player to
strategies that ensure that the player cannot be responsible for causing a zeno
run. We construct winning strategies for the controller which require access only
to (1) the system clocks (thus, controllers which require their own internal infinitely
precise clocks are not necessary), and (2) a linear (in the number of clocks)
number of memory bits. Precisely, we show that for safety objectives, a memory
of size (3 · |C|+lg(|C|+1)) bits suffices for winning controller strategies, where
C is the set of clocks of the timed automaton game, significantly improving the
previous known exponential bound. We also settle the open question of whether
winning region controller strategies require memory for safety objectives by showing
with an example the necessity of memory for region strategies to win for safety
objectives.
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Vinayak
full_name: Prabhu, Vinayak
last_name: Prabhu
citation:
ama: 'Chatterjee K, Prabhu V. Synthesis of memory efficient real time controllers
for safety objectives. In: Springer; 2011:221-230. doi:10.1145/1967701.1967734'
apa: 'Chatterjee, K., & Prabhu, V. (2011). Synthesis of memory efficient real
time controllers for safety objectives (pp. 221–230). Presented at the HSCC: Hybrid
Systems - Computation and Control, Chicago, USA: Springer. https://doi.org/10.1145/1967701.1967734'
chicago: Chatterjee, Krishnendu, and Vinayak Prabhu. “Synthesis of Memory Efficient
Real Time Controllers for Safety Objectives,” 221–30. Springer, 2011. https://doi.org/10.1145/1967701.1967734.
ieee: 'K. Chatterjee and V. Prabhu, “Synthesis of memory efficient real time controllers
for safety objectives,” presented at the HSCC: Hybrid Systems - Computation and
Control, Chicago, USA, 2011, pp. 221–230.'
ista: 'Chatterjee K, Prabhu V. 2011. Synthesis of memory efficient real time controllers
for safety objectives. HSCC: Hybrid Systems - Computation and Control, 221–230.'
mla: Chatterjee, Krishnendu, and Vinayak Prabhu. Synthesis of Memory Efficient
Real Time Controllers for Safety Objectives. Springer, 2011, pp. 221–30, doi:10.1145/1967701.1967734.
short: K. Chatterjee, V. Prabhu, in:, Springer, 2011, pp. 221–230.
conference:
end_date: 2011-04-14
location: Chicago, USA
name: 'HSCC: Hybrid Systems - Computation and Control'
start_date: 2011-04-12
date_created: 2018-12-11T12:02:49Z
date_published: 2011-01-31T00:00:00Z
date_updated: 2021-01-12T07:42:50Z
day: '31'
department:
- _id: KrCh
doi: 10.1145/1967701.1967734
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1101.5842
month: '01'
oa: 1
oa_version: Submitted Version
page: 221 - 230
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication_status: published
publisher: Springer
publist_id: '3273'
quality_controlled: '1'
scopus_import: 1
status: public
title: Synthesis of memory efficient real time controllers for safety objectives
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3344'
abstract:
- lang: eng
text: 'Games played on graphs provide the mathematical framework to analyze several
important problems in computer science as well as mathematics, such as the synthesis
problem of Church, model checking of open reactive systems and many others. On
the basis of mode of interaction of the players these games can be classified
as follows: (a) turn-based (players make moves in turns); and (b) concurrent (players
make moves simultaneously). On the basis of the information available to the players
these games can be classified as follows: (a) perfect-information (players have
perfect view of the game); and (b) partial-information (players have partial view
of the game). In this talk we will consider all these classes of games with reachability
objectives, where the goal of one player is to reach a set of target vertices
of the graph, and the goal of the opponent player is to prevent the player from
reaching the target. We will survey the results for various classes of games,
and the results range from linear time decision algorithms to EXPTIME-complete
problems to undecidable problems.'
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
citation:
ama: 'Chatterjee K. Graph games with reachability objectives. In: Delzanno G, Potapov
I, eds. Vol 6945. Springer; 2011:1-1. doi:10.1007/978-3-642-24288-5_1'
apa: 'Chatterjee, K. (2011). Graph games with reachability objectives. In G. Delzanno
& I. Potapov (Eds.) (Vol. 6945, pp. 1–1). Presented at the RP: Reachability
Problems, Genoa, Italy: Springer. https://doi.org/10.1007/978-3-642-24288-5_1'
chicago: Chatterjee, Krishnendu. “Graph Games with Reachability Objectives.” edited
by Giorgo Delzanno and Igor Potapov, 6945:1–1. Springer, 2011. https://doi.org/10.1007/978-3-642-24288-5_1.
ieee: 'K. Chatterjee, “Graph games with reachability objectives,” presented at the
RP: Reachability Problems, Genoa, Italy, 2011, vol. 6945, pp. 1–1.'
ista: 'Chatterjee K. 2011. Graph games with reachability objectives. RP: Reachability
Problems, LNCS, vol. 6945, 1–1.'
mla: Chatterjee, Krishnendu. Graph Games with Reachability Objectives. Edited
by Giorgo Delzanno and Igor Potapov, vol. 6945, Springer, 2011, pp. 1–1, doi:10.1007/978-3-642-24288-5_1.
short: K. Chatterjee, in:, G. Delzanno, I. Potapov (Eds.), Springer, 2011, pp. 1–1.
conference:
end_date: 2011-09-30
location: Genoa, Italy
name: 'RP: Reachability Problems'
start_date: 2011-09-28
date_created: 2018-12-11T12:02:47Z
date_published: 2011-10-15T00:00:00Z
date_updated: 2021-01-12T07:42:48Z
day: '15'
department:
- _id: KrCh
doi: 10.1007/978-3-642-24288-5_1
editor:
- first_name: Giorgo
full_name: Delzanno, Giorgo
last_name: Delzanno
- first_name: Igor
full_name: Potapov, Igor
last_name: Potapov
intvolume: ' 6945'
language:
- iso: eng
month: '10'
oa_version: None
page: 1 - 1
publication_status: published
publisher: Springer
publist_id: '3277'
quality_controlled: '1'
status: public
title: Graph games with reachability objectives
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6945
year: '2011'
...
---
_id: '3343'
abstract:
- lang: eng
text: 'We present faster and dynamic algorithms for the following problems arising
in probabilistic verification: Computation of the maximal end-component (mec)
decomposition of Markov decision processes (MDPs), and of the almost sure winning
set for reachability and parity objectives in MDPs. We achieve the following running
time for static algorithms in MDPs with graphs of n vertices and m edges: (1)
O(m · min{ √m, n2/3 }) for the mec decomposition, improving the longstanding O(m·n)
bound; (2) O(m·n2/3) for reachability objectives, improving the previous O(m ·
√m) bound for m > n4/3; and (3) O(m · min{ √m, n2/3 } · log(d)) for parity
objectives with d priorities, improving the previous O(m · √m · d) bound. We also
give incremental and decremental algorithms in linear time for mec decomposition
and reachability objectives and O(m · log d) time for parity ob jectives.'
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: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
citation:
ama: 'Chatterjee K, Henzinger MH. Faster and dynamic algorithms for maximal end-component
decomposition and related graph problems in probabilistic verification. In: SIAM;
2011:1318-1336. doi:10.1137/1.9781611973082.101'
apa: 'Chatterjee, K., & Henzinger, M. H. (2011). Faster and dynamic algorithms
for maximal end-component decomposition and related graph problems in probabilistic
verification (pp. 1318–1336). Presented at the SODA: Symposium on Discrete Algorithms,
San Francisco, SA, United States: SIAM. https://doi.org/10.1137/1.9781611973082.101'
chicago: Chatterjee, Krishnendu, and Monika H Henzinger. “Faster and Dynamic Algorithms
for Maximal End-Component Decomposition and Related Graph Problems in Probabilistic
Verification,” 1318–36. SIAM, 2011. https://doi.org/10.1137/1.9781611973082.101.
ieee: 'K. Chatterjee and M. H. Henzinger, “Faster and dynamic algorithms for maximal
end-component decomposition and related graph problems in probabilistic verification,”
presented at the SODA: Symposium on Discrete Algorithms, San Francisco, SA, United
States, 2011, pp. 1318–1336.'
ista: 'Chatterjee K, Henzinger MH. 2011. Faster and dynamic algorithms for maximal
end-component decomposition and related graph problems in probabilistic verification.
SODA: Symposium on Discrete Algorithms, 1318–1336.'
mla: Chatterjee, Krishnendu, and Monika H. Henzinger. Faster and Dynamic Algorithms
for Maximal End-Component Decomposition and Related Graph Problems in Probabilistic
Verification. SIAM, 2011, pp. 1318–36, doi:10.1137/1.9781611973082.101.
short: K. Chatterjee, M.H. Henzinger, in:, SIAM, 2011, pp. 1318–1336.
conference:
end_date: 2011-01-25
location: San Francisco, SA, United States
name: 'SODA: Symposium on Discrete Algorithms'
start_date: 2011-01-23
date_created: 2018-12-11T12:02:47Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2023-02-14T10:36:10Z
day: '01'
department:
- _id: KrCh
doi: 10.1137/1.9781611973082.101
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://eprints.cs.univie.ac.at/21/
month: '01'
oa: 1
oa_version: Submitted Version
page: 1318 - 1336
publication_status: published
publisher: SIAM
publist_id: '3278'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster and dynamic algorithms for maximal end-component decomposition and related
graph problems in probabilistic verification
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3360'
abstract:
- lang: eng
text: 'A discounted-sum automaton (NDA) is a nondeterministic finite automaton with
edge weights, which values a run by the discounted sum of visited edge weights.
More precisely, the weight in the i-th position of the run is divided by lambda^i,
where the discount factor lambda is a fixed rational number greater than 1. Discounted
summation is a common and useful measuring scheme, especially for infinite sequences,
which reflects the assumption that earlier weights are more important than later
weights. Determinizing automata is often essential, for example, in formal verification,
where there are polynomial algorithms for comparing two deterministic NDAs, while
the equivalence problem for NDAs is not known to be decidable. Unfortunately,
however, discounted-sum automata are, in general, not determinizable: it is currently
known that for every rational discount factor 1 < lambda < 2, there is an
NDA with lambda (denoted lambda-NDA) that cannot be determinized. We provide positive
news, showing that every NDA with an integral factor is determinizable. We also
complete the picture by proving that the integers characterize exactly the discount
factors that guarantee determinizability: we show that for every non-integral
rational factor lambda, there is a nondeterminizable lambda-NDA. Finally, we prove
that the class of NDAs with integral discount factors enjoys closure under the
algebraic operations min, max, addition, and subtraction, which is not the case
for general NDAs nor for deterministic NDAs. This shows that for integral discount
factors, the class of NDAs forms an attractive specification formalism in quantitative
formal verification. All our results hold equally for automata over finite words
and for automata over infinite words. '
alternative_title:
- LIPIcs
author:
- first_name: Udi
full_name: Boker, Udi
id: 31E297B6-F248-11E8-B48F-1D18A9856A87
last_name: Boker
- 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: 'Boker U, Henzinger TA. Determinizing discounted-sum automata. In: Vol 12.
Springer; 2011:82-96. doi:10.4230/LIPIcs.CSL.2011.82'
apa: 'Boker, U., & Henzinger, T. A. (2011). Determinizing discounted-sum automata
(Vol. 12, pp. 82–96). Presented at the CSL: Computer Science Logic, Bergen, Norway:
Springer. https://doi.org/10.4230/LIPIcs.CSL.2011.82'
chicago: Boker, Udi, and Thomas A Henzinger. “Determinizing Discounted-Sum Automata,”
12:82–96. Springer, 2011. https://doi.org/10.4230/LIPIcs.CSL.2011.82.
ieee: 'U. Boker and T. A. Henzinger, “Determinizing discounted-sum automata,” presented
at the CSL: Computer Science Logic, Bergen, Norway, 2011, vol. 12, pp. 82–96.'
ista: 'Boker U, Henzinger TA. 2011. Determinizing discounted-sum automata. CSL:
Computer Science Logic, LIPIcs, vol. 12, 82–96.'
mla: Boker, Udi, and Thomas A. Henzinger. Determinizing Discounted-Sum Automata.
Vol. 12, Springer, 2011, pp. 82–96, doi:10.4230/LIPIcs.CSL.2011.82.
short: U. Boker, T.A. Henzinger, in:, Springer, 2011, pp. 82–96.
conference:
end_date: 2011-09-15
location: Bergen, Norway
name: 'CSL: Computer Science Logic'
start_date: 2011-09-12
date_created: 2018-12-11T12:02:53Z
date_published: 2011-08-31T00:00:00Z
date_updated: 2021-01-12T07:42:56Z
day: '31'
ddc:
- '004'
department:
- _id: ToHe
doi: 10.4230/LIPIcs.CSL.2011.82
ec_funded: 1
file:
- access_level: open_access
checksum: 250603c6be8ccad4fbd4d7b24221f0ee
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:10:17Z
date_updated: 2020-07-14T12:46:10Z
file_id: '4803'
file_name: IST-2012-82-v1+1_Determinizing_discounted-sum_automata.pdf
file_size: 504270
relation: main_file
file_date_updated: 2020-07-14T12:46:10Z
has_accepted_license: '1'
intvolume: ' 12'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
page: 82 - 96
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '215543'
name: COMponent-Based Embedded Systems design Techniques
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '214373'
name: Design for Embedded Systems
publication_status: published
publisher: Springer
publist_id: '3255'
pubrep_id: '82'
quality_controlled: '1'
scopus_import: 1
status: public
title: Determinizing discounted-sum automata
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 12
year: '2011'
...