6 Search Results for "Sutre, Grégoire"

Document
DOI: 10.4230/LIPIcs.CONCUR.2020.37
Reachability in Two-Dimensional Vector Addition Systems with States: One Test Is for Free

Authors: Jérôme Leroux and Grégoire Sutre

Published in: LIPIcs, Volume 171, 31st International Conference on Concurrency Theory (CONCUR 2020)

Abstract
Vector addition system with states is an ubiquitous model of computation with extensive applications in computer science. The reachability problem for vector addition systems is central since many other problems reduce to that question. The problem is decidable and it was recently proved that the dimension of the vector addition system is an important parameter of the complexity. In fixed dimensions larger than two, the complexity is not known (with huge complexity gaps). In dimension two, the reachability problem was shown to be PSPACE-complete by Blondin et al. in 2015. We consider an extension of this model, called 2-TVASS, where the first counter can be tested for zero. This model naturally extends the classical model of one counter automata (OCA). We show that reachability is still solvable in polynomial space for 2-TVASS. As in the work Blondin et al., our approach relies on the existence of small reachability certificates obtained by concatenating polynomially many cycles.
Cite as

Jérôme Leroux and Grégoire Sutre. Reachability in Two-Dimensional Vector Addition Systems with States: One Test Is for Free. In 31st International Conference on Concurrency Theory (CONCUR 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 171, pp. 37:1-37:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)

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@InProceedings{leroux_et_al:LIPIcs.CONCUR.2020.37,
  author =	{Leroux, J\'{e}r\^{o}me and Sutre, Gr\'{e}goire},
  title =	{{Reachability in Two-Dimensional Vector Addition Systems with States: One Test Is for Free}},
  booktitle =	{31st International Conference on Concurrency Theory (CONCUR 2020)},
  pages =	{37:1--37:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-160-3},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{171},
  editor =	{Konnov, Igor and Kov\'{a}cs, Laura},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2020.37},
  URN =		{urn:nbn:de:0030-drops-128498},
  doi =		{10.4230/LIPIcs.CONCUR.2020.37},
  annote =	{Keywords: Counter machine, Vector addition system, Reachability problem, Formal verification, Infinite-state system}
}
Document
DOI: 10.4230/LIPIcs.FSTTCS.2018.31
Reachability for Two-Counter Machines with One Test and One Reset

Authors: Alain Finkel, Jérôme Leroux, and Grégoire Sutre

Published in: LIPIcs, Volume 122, 38th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2018)

Abstract
We prove that the reachability relation of two-counter machines with one zero-test and one reset is Presburger-definable and effectively computable. Our proof is based on the introduction of two classes of Presburger-definable relations effectively stable by transitive closure. This approach generalizes and simplifies the existing different proofs and it solves an open problem introduced by Finkel and Sutre in 2000.
Cite as

Alain Finkel, Jérôme Leroux, and Grégoire Sutre. Reachability for Two-Counter Machines with One Test and One Reset. In 38th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 122, pp. 31:1-31:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@InProceedings{finkel_et_al:LIPIcs.FSTTCS.2018.31,
  author =	{Finkel, Alain and Leroux, J\'{e}r\^{o}me and Sutre, Gr\'{e}goire},
  title =	{{Reachability for Two-Counter Machines with One Test and One Reset}},
  booktitle =	{38th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2018)},
  pages =	{31:1--31:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-093-4},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{122},
  editor =	{Ganguly, Sumit and Pandya, Paritosh},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2018.31},
  URN =		{urn:nbn:de:0030-drops-99305},
  doi =		{10.4230/LIPIcs.FSTTCS.2018.31},
  annote =	{Keywords: Counter machine, Vector addition system, Reachability problem, Formal verification, Presburger arithmetic, Infinite-state system}
}
Document
DOI: 10.4230/LIPIcs.FSTTCS.2018.44
On the Boundedness Problem for Higher-Order Pushdown Vector Addition Systems

Authors: Vincent Penelle, Sylvain Salvati, and Grégoire Sutre

Published in: LIPIcs, Volume 122, 38th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2018)

Abstract
Karp and Miller's algorithm is a well-known decision procedure that solves the termination and boundedness problems for vector addition systems with states (VASS), or equivalently Petri nets. This procedure was later extended to a general class of models, well-structured transition systems, and, more recently, to pushdown VASS. In this paper, we extend pushdown VASS to higher-order pushdown VASS (called HOPVASS), and we investigate whether an approach à la Karp and Miller can still be used to solve termination and boundedness. We provide a decidable characterisation of runs that can be iterated arbitrarily many times, which is the main ingredient of Karp and Miller's approach. However, the resulting Karp and Miller procedure only gives a semi-algorithm for HOPVASS. In fact, we show that coverability, termination and boundedness are all undecidable for HOPVASS, even in the restricted subcase of one counter and an order 2 stack. On the bright side, we prove that this semi-algorithm is in fact an algorithm for higher-order pushdown automata.
Cite as

Vincent Penelle, Sylvain Salvati, and Grégoire Sutre. On the Boundedness Problem for Higher-Order Pushdown Vector Addition Systems. In 38th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 122, pp. 44:1-44:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@InProceedings{penelle_et_al:LIPIcs.FSTTCS.2018.44,
  author =	{Penelle, Vincent and Salvati, Sylvain and Sutre, Gr\'{e}goire},
  title =	{{On the Boundedness Problem for Higher-Order Pushdown Vector Addition Systems}},
  booktitle =	{38th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2018)},
  pages =	{44:1--44:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-093-4},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{122},
  editor =	{Ganguly, Sumit and Pandya, Paritosh},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2018.44},
  URN =		{urn:nbn:de:0030-drops-99432},
  doi =		{10.4230/LIPIcs.FSTTCS.2018.44},
  annote =	{Keywords: Higher-order pushdown automata, Vector addition systems, Boundedness problem, Termination problem, Coverability problem}
}
Document
DOI: 10.4230/LIPIcs.ICALP.2017.119
Polynomial-Space Completeness of Reachability for Succinct Branching VASS in Dimension One

Authors: Diego Figueira, Ranko Lazic, Jérôme Leroux, Filip Mazowiecki, and Grégoire Sutre

Published in: LIPIcs, Volume 80, 44th International Colloquium on Automata, Languages, and Programming (ICALP 2017)

Abstract
Whether the reachability problem for branching vector addition systems, or equivalently the provability problem for multiplicative exponential linear logic, is decidable has been a long-standing open question. The one-dimensional case is a generalisation of the extensively studied one-counter nets, and it was recently established polynomial-time complete provided counter updates are given in unary. Our main contribution is to determine the complexity when the encoding is binary: polynomial-space complete.
Cite as

Diego Figueira, Ranko Lazic, Jérôme Leroux, Filip Mazowiecki, and Grégoire Sutre. Polynomial-Space Completeness of Reachability for Succinct Branching VASS in Dimension One. In 44th International Colloquium on Automata, Languages, and Programming (ICALP 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 80, pp. 119:1-119:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)

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@InProceedings{figueira_et_al:LIPIcs.ICALP.2017.119,
  author =	{Figueira, Diego and Lazic, Ranko and Leroux, J\'{e}r\^{o}me and Mazowiecki, Filip and Sutre, Gr\'{e}goire},
  title =	{{Polynomial-Space Completeness of Reachability for Succinct Branching VASS in Dimension One}},
  booktitle =	{44th International Colloquium on Automata, Languages, and Programming (ICALP 2017)},
  pages =	{119:1--119:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-041-5},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{80},
  editor =	{Chatzigiannakis, Ioannis and Indyk, Piotr and Kuhn, Fabian and Muscholl, Anca},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2017.119},
  URN =		{urn:nbn:de:0030-drops-74374},
  doi =		{10.4230/LIPIcs.ICALP.2017.119},
  annote =	{Keywords: branching vector addition systems, reachability problem}
}
Document
DOI: 10.4230/LIPIcs.FSTTCS.2012.224
Safety Verification of Communicating One-Counter Machines

Authors: Alexander Heußner, Tristan Le Gall, and Grégoire Sutre

Published in: LIPIcs, Volume 18, IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2012)

Abstract
In order to verify protocols that tag messages with integer values, we investigate the decidability of the reachability problem for systems of communicating one-counter machines. These systems consist of local one-counter machines that asynchronously communicate by exchanging the value of their counters via, a priori unbounded, FIFO channels. This model extends communicating finite-state machines (CFSM) by infinite-state local processes and an infinite message alphabet. The main result of the paper is a complete characterization of the communication topologies that have a solvable reachability question. As already CFSM exclude the possibility of automatic verification in presence of mutual communication, we also consider an under-approximative approach to the reachability problem, based on rendezvous synchronization.
Cite as

Alexander Heußner, Tristan Le Gall, and Grégoire Sutre. Safety Verification of Communicating One-Counter Machines. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2012). Leibniz International Proceedings in Informatics (LIPIcs), Volume 18, pp. 224-235, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2012)

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@InProceedings{heuner_et_al:LIPIcs.FSTTCS.2012.224,
  author =	{Heu{\ss}ner, Alexander and Le Gall, Tristan and Sutre, Gr\'{e}goire},
  title =	{{Safety Verification of Communicating One-Counter Machines}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2012)},
  pages =	{224--235},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-47-7},
  ISSN =	{1868-8969},
  year =	{2012},
  volume =	{18},
  editor =	{D'Souza, Deepak and Radhakrishnan, Jaikumar and Telikepalli, Kavitha},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2012.224},
  URN =		{urn:nbn:de:0030-drops-38614},
  doi =		{10.4230/LIPIcs.FSTTCS.2012.224},
  annote =	{Keywords: Counter Machines, FIFO Channels, Reachability Problem, Data Words}
}
Document
DOI: 10.4230/DagSemProc.06081.4
Flat counter automata almost everywhere!

Authors: Jérôme Leroux and Grégoire Sutre

Published in: Dagstuhl Seminar Proceedings, Volume 6081, Software Verification: Infinite-State Model Checking and Static Program Analysis (2006)

Abstract
This paper argues that flatness appears as a central notion in the verification of counter automata. A counter automaton is called flat when its control graph can be ``replaced'', equivalently w.r.t. reachability, by another one with no nested loops. From a practical view point, we show that flatness is a necessary and sufficient condition for termination of accelerated symbolic model checking, a generic semi-algorithmic technique implemented in successful tools like FAST, LASH or TReX. From a theoretical view point, we prove that many known semilinear subclasses of counter automata are flat: reversal bounded counter machines, lossy vector addition systems with states, reversible Petri nets, persistent and conflict-free Petri nets, etc. Hence, for these subclasses, the semilinear reachability set can be computed using a emph{uniform} accelerated symbolic procedure (whereas previous algorithms were specifically designed for each subclass).
Cite as

Jérôme Leroux and Grégoire Sutre. Flat counter automata almost everywhere!. In Software Verification: Infinite-State Model Checking and Static Program Analysis. Dagstuhl Seminar Proceedings, Volume 6081, pp. 1-19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{leroux_et_al:DagSemProc.06081.4,
  author =	{Leroux, J\'{e}r\^{o}me and Sutre, Gr\'{e}goire},
  title =	{{Flat counter automata almost everywhere!}},
  booktitle =	{Software Verification: Infinite-State Model Checking and Static Program Analysis},
  pages =	{1--19},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6081},
  editor =	{Parosh Aziz Abdulla and Ahmed Bouajjani and Markus M\"{u}ller-Olm},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.06081.4},
  URN =		{urn:nbn:de:0030-drops-7297},
  doi =		{10.4230/DagSemProc.06081.4},
  annote =	{Keywords: Symbolic representation, Infinite state system, Acceleration, Meta-transition}
}
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