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Documents authored by Sangnier, Arnaud


Document
QLTL Model-Checking

Authors: François Laroussinie, Loriane Leclercq, and Arnaud Sangnier

Published in: LIPIcs, Volume 288, 32nd EACSL Annual Conference on Computer Science Logic (CSL 2024)


Abstract
Quantified LTL (QLTL) extends the temporal logic LTL with quantifications over atomic propositions. Several semantics exist to handle these quantifications, depending on the definition of executions over which formulas are interpreted: either infinite sequences of subsets of atomic propositions (aka the "tree semantics") or infinite sequences of control states combined with a labelling function that associates atomic propositions to the control states (aka the "structure semantics"). The main difference being that in the latter different occurrences of a control state should be labelled similarly. The tree semantics has been intensively studied from the complexity and expressivity point of view (especially in the work of Sistla [Sistla, 1983; Sistla et al., 1987]) for which the satisfiability and model-checking problems are known to be TOWER-complete. For the structure semantics, French has shown that the satisfiability problem is undecidable [French, 2003]. We study here the model-checking problem for QLTL under this semantics and prove that it is EXPSPACE-complete. We also show that the complexity drops down to PSPACE-complete for two specific cases of structures, namely path and flat ones.

Cite as

François Laroussinie, Loriane Leclercq, and Arnaud Sangnier. QLTL Model-Checking. In 32nd EACSL Annual Conference on Computer Science Logic (CSL 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 288, pp. 35:1-35:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)


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@InProceedings{laroussinie_et_al:LIPIcs.CSL.2024.35,
  author =	{Laroussinie, Fran\c{c}ois and Leclercq, Loriane and Sangnier, Arnaud},
  title =	{{QLTL Model-Checking}},
  booktitle =	{32nd EACSL Annual Conference on Computer Science Logic (CSL 2024)},
  pages =	{35:1--35:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-310-2},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{288},
  editor =	{Murano, Aniello and Silva, Alexandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2024.35},
  URN =		{urn:nbn:de:0030-drops-196783},
  doi =		{10.4230/LIPIcs.CSL.2024.35},
  annote =	{Keywords: Quantified Linear-time temporal logic, Model-cheking, Verification, Automata theory}
}
Document
Safety Analysis of Parameterised Networks with Non-Blocking Rendez-Vous

Authors: Lucie Guillou, Arnaud Sangnier, and Nathalie Sznajder

Published in: LIPIcs, Volume 279, 34th International Conference on Concurrency Theory (CONCUR 2023)


Abstract
We consider networks of processes that all execute the same finite-state protocol and communicate via a rendez-vous mechanism. When a process requests a rendez-vous, another process can respond to it and they both change their control states accordingly. We focus here on a specific semantics, called non-blocking, where the process requesting a rendez-vous can change its state even if no process can respond to it. In this context, we study the parameterised coverability problem of a configuration, which consists in determining whether there is an initial number of processes and an execution allowing to reach a configuration bigger than a given one. We show that this problem is EXPSPACE-complete and can be solved in polynomial time if the protocol is partitioned into two sets of states, the states from which a process can request a rendez-vous and the ones from which it can answer one. We also prove that the problem of the existence of an execution bringing all the processes in a final state is undecidable in our context. These two problems can be solved in polynomial time with the classical rendez-vous semantics.

Cite as

Lucie Guillou, Arnaud Sangnier, and Nathalie Sznajder. Safety Analysis of Parameterised Networks with Non-Blocking Rendez-Vous. In 34th International Conference on Concurrency Theory (CONCUR 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 279, pp. 7:1-7:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)


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@InProceedings{guillou_et_al:LIPIcs.CONCUR.2023.7,
  author =	{Guillou, Lucie and Sangnier, Arnaud and Sznajder, Nathalie},
  title =	{{Safety Analysis of Parameterised Networks with Non-Blocking Rendez-Vous}},
  booktitle =	{34th International Conference on Concurrency Theory (CONCUR 2023)},
  pages =	{7:1--7:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-299-0},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{279},
  editor =	{P\'{e}rez, Guillermo A. and Raskin, Jean-Fran\c{c}ois},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2023.7},
  URN =		{urn:nbn:de:0030-drops-190015},
  doi =		{10.4230/LIPIcs.CONCUR.2023.7},
  annote =	{Keywords: Parameterised verification, Coverability, Counter machines}
}
Document
Local First-Order Logic with Two Data Values

Authors: Benedikt Bollig, Arnaud Sangnier, and Olivier Stietel

Published in: LIPIcs, Volume 213, 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021)


Abstract
We study first-order logic over unordered structures whose elements carry two data values from an infinite domain. Data values can be compared wrt. equality so that the formalism is suitable to specify the input-output behavior of various distributed algorithms. As the logic is undecidable in general, we introduce a family of local fragments that restrict quantification to neighborhoods of a given reference point. Our main result establishes decidability of the satisfiability problem for one of these non-trivial local fragments. On the other hand, already slightly more general local logics turn out to be undecidable. Altogether, we draw a landscape of formalisms that are suitable for the specification of systems with data and open up new avenues for future research.

Cite as

Benedikt Bollig, Arnaud Sangnier, and Olivier Stietel. Local First-Order Logic with Two Data Values. In 41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 213, pp. 39:1-39:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)


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@InProceedings{bollig_et_al:LIPIcs.FSTTCS.2021.39,
  author =	{Bollig, Benedikt and Sangnier, Arnaud and Stietel, Olivier},
  title =	{{Local First-Order Logic with Two Data Values}},
  booktitle =	{41st IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2021)},
  pages =	{39:1--39:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-215-0},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{213},
  editor =	{Boja\'{n}czyk, Miko{\l}aj and Chekuri, Chandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2021.39},
  URN =		{urn:nbn:de:0030-drops-155508},
  doi =		{10.4230/LIPIcs.FSTTCS.2021.39},
  annote =	{Keywords: first-order logic, data values, specification of distributed algorithms}
}
Document
Reachability in Distributed Memory Automata

Authors: Benedikt Bollig, Fedor Ryabinin, and Arnaud Sangnier

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)


Abstract
We introduce Distributed Memory Automata, a model of register automata suitable to capture some features of distributed algorithms designed for shared-memory systems. In this model, each participant owns a local register and a shared register and has the ability to change its local value, to write it in the global memory and to test atomically the number of occurrences of its value in the shared memory, up to some threshold. We show that the control-state reachability problem for Distributed Memory Automata is Pspace-complete for a fixed number of participants and is in Pspace when the number of participants is not fixed a priori.

Cite as

Benedikt Bollig, Fedor Ryabinin, and Arnaud Sangnier. Reachability in Distributed Memory Automata. In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 13:1-13:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)


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@InProceedings{bollig_et_al:LIPIcs.CSL.2021.13,
  author =	{Bollig, Benedikt and Ryabinin, Fedor and Sangnier, Arnaud},
  title =	{{Reachability in Distributed Memory Automata}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{13:1--13:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.13},
  URN =		{urn:nbn:de:0030-drops-134472},
  doi =		{10.4230/LIPIcs.CSL.2021.13},
  annote =	{Keywords: Distributed algorithms, Atomic snapshot objects, Register automata, Reachability}
}
Document
Deciding the Existence of Cut-Off in Parameterized Rendez-Vous Networks

Authors: Florian Horn and Arnaud Sangnier

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


Abstract
We study networks of processes which all execute the same finite-state protocol and communicate thanks to a rendez-vous mechanism. Given a protocol, we are interested in checking whether there exists a number, called a cut-off, such that in any networks with a bigger number of participants, there is an execution where all the entities end in some final states. We provide decidability and complexity results of this problem under various assumptions, such as absence/presence of a leader or symmetric/asymmetric rendez-vous.

Cite as

Florian Horn and Arnaud Sangnier. Deciding the Existence of Cut-Off in Parameterized Rendez-Vous Networks. In 31st International Conference on Concurrency Theory (CONCUR 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 171, pp. 46:1-46:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)


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@InProceedings{horn_et_al:LIPIcs.CONCUR.2020.46,
  author =	{Horn, Florian and Sangnier, Arnaud},
  title =	{{Deciding the Existence of Cut-Off in Parameterized Rendez-Vous Networks}},
  booktitle =	{31st International Conference on Concurrency Theory (CONCUR 2020)},
  pages =	{46:1--46:16},
  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.2020.46},
  URN =		{urn:nbn:de:0030-drops-128581},
  doi =		{10.4230/LIPIcs.CONCUR.2020.46},
  annote =	{Keywords: Parameterized networks, Verification, Cut-offs}
}
Document
Model-Checking Counting Temporal Logics on Flat Structures

Authors: Normann Decker, Peter Habermehl, Martin Leucker, Arnaud Sangnier, and Daniel Thoma

Published in: LIPIcs, Volume 85, 28th International Conference on Concurrency Theory (CONCUR 2017)


Abstract
We study several extensions of linear-time and computation-tree temporal logics with quantifiers that allow for counting how often certain properties hold. For most of these extensions, the model-checking problem is undecidable, but we show that decidability can be recovered by considering flat Kripke structures where each state belongs to at most one simple loop. Most decision procedures are based on results on (flat) counter systems where counters are used to implement the evaluation of counting operators.

Cite as

Normann Decker, Peter Habermehl, Martin Leucker, Arnaud Sangnier, and Daniel Thoma. Model-Checking Counting Temporal Logics on Flat Structures. In 28th International Conference on Concurrency Theory (CONCUR 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 85, pp. 29:1-29:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)


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@InProceedings{decker_et_al:LIPIcs.CONCUR.2017.29,
  author =	{Decker, Normann and Habermehl, Peter and Leucker, Martin and Sangnier, Arnaud and Thoma, Daniel},
  title =	{{Model-Checking Counting Temporal Logics on Flat Structures}},
  booktitle =	{28th International Conference on Concurrency Theory (CONCUR 2017)},
  pages =	{29:1--29:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-048-4},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{85},
  editor =	{Meyer, Roland and Nestmann, Uwe},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2017.29},
  URN =		{urn:nbn:de:0030-drops-77709},
  doi =		{10.4230/LIPIcs.CONCUR.2017.29},
  annote =	{Keywords: Counting Temporal Logic, Model checking, Flat Kripke Structure}
}
Document
The Complexity of Flat Freeze LTL

Authors: Benedikt Bollig, Karin Quaas, and Arnaud Sangnier

Published in: LIPIcs, Volume 85, 28th International Conference on Concurrency Theory (CONCUR 2017)


Abstract
We consider the model-checking problem for freeze LTL on one-counter automata (OCAs). Freeze LTL extends LTL with the freeze quantifier, which allows one to store different counter values of a run in registers so that they can be compared with one another. As the model-checking problem is undecidable in general, we focus on the flat fragment of freeze LTL, in which the usage of the freeze quantifier is restricted. Recently, Lechner et al. showed that model checking for flat freeze LTL on OCAs with binary encoding of counter updates is decidable and in 2NEXPTIME. In this paper, we prove that the problem is, in fact, NEXPTIME-complete no matter whether counter updates are encoded in unary or binary. Like Lechner et al., we rely on a reduction to the reachability problem in OCAs with parameterized tests (OCAPs). The new aspect is that we simulate OCAPs by alternating two-way automata over words. This implies an exponential upper bound on the parameter values that we exploit towards an NP algorithm for reachability in OCAPs with unary updates. We obtain our main result as a corollary.

Cite as

Benedikt Bollig, Karin Quaas, and Arnaud Sangnier. The Complexity of Flat Freeze LTL. In 28th International Conference on Concurrency Theory (CONCUR 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 85, pp. 33:1-33:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)


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@InProceedings{bollig_et_al:LIPIcs.CONCUR.2017.33,
  author =	{Bollig, Benedikt and Quaas, Karin and Sangnier, Arnaud},
  title =	{{The Complexity of Flat Freeze LTL}},
  booktitle =	{28th International Conference on Concurrency Theory (CONCUR 2017)},
  pages =	{33:1--33:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-048-4},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{85},
  editor =	{Meyer, Roland and Nestmann, Uwe},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2017.33},
  URN =		{urn:nbn:de:0030-drops-77993},
  doi =		{10.4230/LIPIcs.CONCUR.2017.33},
  annote =	{Keywords: one-counter automata, freeze LTL, model checking}
}
Document
Reachability in Networks of Register Protocols under Stochastic Schedulers

Authors: Patricia Bouyer, Nicolas Markey, Mickael Randour, Arnaud Sangnier, and Daniel Stan

Published in: LIPIcs, Volume 55, 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)


Abstract
We study the almost-sure reachability problem in a distributed system obtained as the asynchronous composition of N copies (called processes) of the same automaton (called protocol), that can communicate via a shared register with finite domain. The automaton has two types of transitions: write-transitions update the value of the register, while read-transitions move to a new state depending on the content of the register. Non-determinism is resolved by a stochastic scheduler. Given a protocol, we focus on almost-sure reachability of a target state by one of the processes. The answer to this problem naturally depends on the number N of processes. However, we prove that our setting has a cut-off property: the answer to the almost-sure reachability problem is constant when N is large enough; we then develop an EXPSPACE algorithm deciding whether this constant answer is positive or negative.

Cite as

Patricia Bouyer, Nicolas Markey, Mickael Randour, Arnaud Sangnier, and Daniel Stan. Reachability in Networks of Register Protocols under Stochastic Schedulers. In 43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 55, pp. 106:1-106:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)


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@InProceedings{bouyer_et_al:LIPIcs.ICALP.2016.106,
  author =	{Bouyer, Patricia and Markey, Nicolas and Randour, Mickael and Sangnier, Arnaud and Stan, Daniel},
  title =	{{Reachability in Networks of Register Protocols under Stochastic Schedulers}},
  booktitle =	{43rd International Colloquium on Automata, Languages, and Programming (ICALP 2016)},
  pages =	{106:1--106:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-013-2},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{55},
  editor =	{Chatzigiannakis, Ioannis and Mitzenmacher, Michael and Rabani, Yuval and Sangiorgi, Davide},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2016.106},
  URN =		{urn:nbn:de:0030-drops-62416},
  doi =		{10.4230/LIPIcs.ICALP.2016.106},
  annote =	{Keywords: Networks of Processes, Parametrized Systems, Stochastic Scheduler, Almost-sure Reachability, Cut-Off Property}
}
Document
Distributed Local Strategies in Broadcast Networks

Authors: Nathalie Bertrand, Paulin Fournier, and Arnaud Sangnier

Published in: LIPIcs, Volume 42, 26th International Conference on Concurrency Theory (CONCUR 2015)


Abstract
We study the problems of reaching a specific control state, or converging to a set of target states, in networks with a parameterized number of identical processes communicating via broadcast. To reflect the distributed aspect of such networks, we restrict our attention to executions in which all the processes must follow the same local strategy that, given their past performed actions and received messages, provides the next action to be performed. We show that the reachability and target problems under such local strategies are NP-complete, assuming that the set of receivers is chosen non-deterministically at each step. On the other hand, these problems become undecidable when the communication topology is a clique. However, decidability can be regained for reachability under the additional assumption that all processes are bound to receive the broadcast messages.

Cite as

Nathalie Bertrand, Paulin Fournier, and Arnaud Sangnier. Distributed Local Strategies in Broadcast Networks. In 26th International Conference on Concurrency Theory (CONCUR 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 42, pp. 44-57, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)


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@InProceedings{bertrand_et_al:LIPIcs.CONCUR.2015.44,
  author =	{Bertrand, Nathalie and Fournier, Paulin and Sangnier, Arnaud},
  title =	{{Distributed Local Strategies in Broadcast Networks}},
  booktitle =	{26th International Conference on Concurrency Theory (CONCUR 2015)},
  pages =	{44--57},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-91-0},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{42},
  editor =	{Aceto, Luca and de Frutos Escrig, David},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2015.44},
  URN =		{urn:nbn:de:0030-drops-53796},
  doi =		{10.4230/LIPIcs.CONCUR.2015.44},
  annote =	{Keywords: Broadcast networks, parameterized verification, local strategies}
}
Document
On the Complexity of Parameterized Reachability in Reconfigurable Broadcast Networks

Authors: Giorgio Delzanno, Arnaud Sangnier, Riccardo Traverso, and Gianluigi Zavattaro

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


Abstract
We investigate the impact of dynamic topology reconfiguration on the complexity of verification problems for models of protocols with broadcast communication. We first consider reachability of a configuration with a given set of control states and show that parameterized verification is decidable with polynomial time complexity. We then move to richer queries and show how the complexity changes when considering properties with negation or cardinality constraints.

Cite as

Giorgio Delzanno, Arnaud Sangnier, Riccardo Traverso, and Gianluigi Zavattaro. On the Complexity of Parameterized Reachability in Reconfigurable Broadcast Networks. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2012). Leibniz International Proceedings in Informatics (LIPIcs), Volume 18, pp. 289-300, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2012)


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@InProceedings{delzanno_et_al:LIPIcs.FSTTCS.2012.289,
  author =	{Delzanno, Giorgio and Sangnier, Arnaud and Traverso, Riccardo and Zavattaro, Gianluigi},
  title =	{{On the Complexity of Parameterized Reachability in Reconfigurable Broadcast Networks}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2012)},
  pages =	{289--300},
  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.2012.289},
  URN =		{urn:nbn:de:0030-drops-38671},
  doi =		{10.4230/LIPIcs.FSTTCS.2012.289},
  annote =	{Keywords: Broadcast Communication, Parameterized Verification, Complexity}
}
Document
On the Decidability Status of Reachability and Coverability in Graph Transformation Systems

Authors: Nathalie Bertrand, Giorgio Delzanno, Barbara König, Arnaud Sangnier, and Jan Stückrath

Published in: LIPIcs, Volume 15, 23rd International Conference on Rewriting Techniques and Applications (RTA'12) (2012)


Abstract
We study decidability issues for reachability problems in graph transformation systems, a powerful infinite-state model. For a fixed initial configuration, we consider reachability of an entirely specified configuration and of a configuration that satisfies a given pattern (coverability). The former is a fundamental problem for any computational model, the latter is strictly related to verification of safety properties in which the pattern specifies an infinite set of bad configurations. In this paper we reformulate results obtained, e.g., for context-free graph grammars and concurrency models, such as Petri nets, in the more general setting of graph transformation systems and study new results for classes of models obtained by adding constraints on the form of reduction rules.

Cite as

Nathalie Bertrand, Giorgio Delzanno, Barbara König, Arnaud Sangnier, and Jan Stückrath. On the Decidability Status of Reachability and Coverability in Graph Transformation Systems. In 23rd International Conference on Rewriting Techniques and Applications (RTA'12). Leibniz International Proceedings in Informatics (LIPIcs), Volume 15, pp. 101-116, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2012)


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@InProceedings{bertrand_et_al:LIPIcs.RTA.2012.101,
  author =	{Bertrand, Nathalie and Delzanno, Giorgio and K\"{o}nig, Barbara and Sangnier, Arnaud and St\"{u}ckrath, Jan},
  title =	{{On the Decidability Status of Reachability and Coverability in  Graph Transformation Systems}},
  booktitle =	{23rd International Conference on Rewriting Techniques and Applications (RTA'12)},
  pages =	{101--116},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-38-5},
  ISSN =	{1868-8969},
  year =	{2012},
  volume =	{15},
  editor =	{Tiwari, Ashish},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.RTA.2012.101},
  URN =		{urn:nbn:de:0030-drops-34871},
  doi =		{10.4230/LIPIcs.RTA.2012.101},
  annote =	{Keywords: decidability, reachability, graph transformation, coverability}
}
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