5 Search Results for "Mu�iz, Marco"


Document
Finite Convergence of μ-Calculus Fixpoints on Genuinely Infinite Structures

Authors: Florian Bruse, Marco Sälzer, and Martin Lange

Published in: LIPIcs, Volume 202, 46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021)


Abstract
The modal μ-calculus can only express bisimulation-invariant properties. It is a simple consequence of Kleene’s Fixpoint Theorem that on structures with finite bisimulation quotients, the fixpoint iteration of any formula converges after finitely many steps. We show that the converse does not hold: we construct a word with an infinite bisimulation quotient that is locally regular so that the iteration for any fixpoint formula of the modal μ-calculus on it converges after finitely many steps. This entails decidability of μ-calculus model-checking over this word. We also show that the reason for the discrepancy between infinite bisimulation quotients and trans-finite fixpoint convergence lies in the fact that the μ-calculus can only express regular properties.

Cite as

Florian Bruse, Marco Sälzer, and Martin Lange. Finite Convergence of μ-Calculus Fixpoints on Genuinely Infinite Structures. In 46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 202, pp. 24:1-24:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)


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@InProceedings{bruse_et_al:LIPIcs.MFCS.2021.24,
  author =	{Bruse, Florian and S\"{a}lzer, Marco and Lange, Martin},
  title =	{{Finite Convergence of \mu-Calculus Fixpoints on Genuinely Infinite Structures}},
  booktitle =	{46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021)},
  pages =	{24:1--24:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-201-3},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{202},
  editor =	{Bonchi, Filippo and Puglisi, Simon J.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2021.24},
  URN =		{urn:nbn:de:0030-drops-144643},
  doi =		{10.4230/LIPIcs.MFCS.2021.24},
  annote =	{Keywords: temporal logic, fixpoint iteration, bisimulation}
}
Document
Invited Talk
Time and Business Process Management: Problems, Achievements, Challenges (Invited Talk)

Authors: Johann Eder and Marco Franceschetti

Published in: LIPIcs, Volume 178, 27th International Symposium on Temporal Representation and Reasoning (TIME 2020)


Abstract
Processes have been successfully introduced for modeling dynamic phenomena in many areas like business, production, health care, etc. Many of these applications require to adequately deal with temporal aspects. Process models need to express temporal durations, temporal constraints like allowed time between events, and deadlines. For checking the correctness of process definitions with temporal constraints, different notions and algorithms have been developed. Schedules for the execution of processes can be computed and proactive time management supports process managers to avoid time failures during the execution of a process. We present an overview of the problems and the requirements for treating time in business processes and the solutions achieved by applying results and techniques of research in temporal representation and reasoning. We reflect where expectations have not yet been met and sketch challenges in temporal representation and reasoning for addressing advanced requirements of the management of business processes.

Cite as

Johann Eder and Marco Franceschetti. Time and Business Process Management: Problems, Achievements, Challenges (Invited Talk). In 27th International Symposium on Temporal Representation and Reasoning (TIME 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 178, pp. 3:1-3:8, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)


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@InProceedings{eder_et_al:LIPIcs.TIME.2020.3,
  author =	{Eder, Johann and Franceschetti, Marco},
  title =	{{Time and Business Process Management: Problems, Achievements, Challenges}},
  booktitle =	{27th International Symposium on Temporal Representation and Reasoning (TIME 2020)},
  pages =	{3:1--3:8},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-167-2},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{178},
  editor =	{Mu\~{n}oz-Velasco, Emilio and Ozaki, Ana and Theobald, Martin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TIME.2020.3},
  URN =		{urn:nbn:de:0030-drops-129716},
  doi =		{10.4230/LIPIcs.TIME.2020.3},
  annote =	{Keywords: Business Process management, Temporal constraints, Scheduling, Process Evolution, Probabilistic Controllability}
}
Document
Negotiating Temporal Commitments in Cross-Organizational Business Processes

Authors: Marco Franceschetti and Johann Eder

Published in: LIPIcs, Volume 178, 27th International Symposium on Temporal Representation and Reasoning (TIME 2020)


Abstract
Cross-organizational business processes emerge from the cooperation of intra-organizational business processes through exchange of messages. The involved parties agree on communication protocols, which contain in particular temporal constraints: as obligations on one hand, and as guarantees on the other hand. These constraints form also requirements for the design of the hidden implementation of the processes and are the basis for control decisions for each party. We present a comprehensive methodology for modeling the temporal aspects of cross-organizational business processes, checking dynamic controllability of such processes, and supporting the negotiation of temporal commitments. We do so by computing the consequences of temporal constraints in choreographies, and by computing the weakest preconditions for the dynamic controllability of a participating process.

Cite as

Marco Franceschetti and Johann Eder. Negotiating Temporal Commitments in Cross-Organizational Business Processes. In 27th International Symposium on Temporal Representation and Reasoning (TIME 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 178, pp. 4:1-4:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)


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@InProceedings{franceschetti_et_al:LIPIcs.TIME.2020.4,
  author =	{Franceschetti, Marco and Eder, Johann},
  title =	{{Negotiating Temporal Commitments in Cross-Organizational Business Processes}},
  booktitle =	{27th International Symposium on Temporal Representation and Reasoning (TIME 2020)},
  pages =	{4:1--4:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-167-2},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{178},
  editor =	{Mu\~{n}oz-Velasco, Emilio and Ozaki, Ana and Theobald, Martin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TIME.2020.4},
  URN =		{urn:nbn:de:0030-drops-129729},
  doi =		{10.4230/LIPIcs.TIME.2020.4},
  annote =	{Keywords: Cross-organizational processes, Temporal parameters, Range negotiation}
}
Document
The Horn Fragment of Branching Algebra

Authors: Alessandro Bertagnon, Marco Gavanelli, Alessandro Passantino, Guido Sciavicco, and Stefano Trevisani

Published in: LIPIcs, Volume 178, 27th International Symposium on Temporal Representation and Reasoning (TIME 2020)


Abstract
Branching Algebra is the natural branching-time generalization of Allen’s Interval Algebra. As in the linear case, the consistency problem for Branching Algebra is NP-hard. Being relatively new, however, not much is known about the computational behaviour of the consistency problem of its sub-algebras, except in the case of the recently found subset of convex branching relations, for which the consistency of a network can be tested via path consistency and it is therefore deterministic polynomial. In this paper, following Nebel and Bürckert, we define the Horn fragment of Branching Algebra, and prove that it is a sub-algebra of the latter, being closed under inverse, intersection, and composition, that it strictly contains both the convex fragment of Branching Algebra and the Horn fragment of Interval Algebra, and that its consistency problem can be decided via path consistency. Finally, we experimentally prove that the Horn fragment of Branching Algebra can be used as an heuristic for checking the consistency of a generic network with a considerable improvement over the convex subset.

Cite as

Alessandro Bertagnon, Marco Gavanelli, Alessandro Passantino, Guido Sciavicco, and Stefano Trevisani. The Horn Fragment of Branching Algebra. In 27th International Symposium on Temporal Representation and Reasoning (TIME 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 178, pp. 5:1-5:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)


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@InProceedings{bertagnon_et_al:LIPIcs.TIME.2020.5,
  author =	{Bertagnon, Alessandro and Gavanelli, Marco and Passantino, Alessandro and Sciavicco, Guido and Trevisani, Stefano},
  title =	{{The Horn Fragment of Branching Algebra}},
  booktitle =	{27th International Symposium on Temporal Representation and Reasoning (TIME 2020)},
  pages =	{5:1--5:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-167-2},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{178},
  editor =	{Mu\~{n}oz-Velasco, Emilio and Ozaki, Ana and Theobald, Martin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.TIME.2020.5},
  URN =		{urn:nbn:de:0030-drops-129736},
  doi =		{10.4230/LIPIcs.TIME.2020.5},
  annote =	{Keywords: Constraint programming, Consistency, Branching time, Horn Fragment}
}
Document
Partial Order Reduction for Reachability Games

Authors: Frederik Meyer Bønneland, Peter Gjøl Jensen, Kim G. Larsen, Marco Muñiz, and Jiří Srba

Published in: LIPIcs, Volume 140, 30th International Conference on Concurrency Theory (CONCUR 2019)


Abstract
Partial order reductions have been successfully applied to model checking of concurrent systems and practical applications of the technique show nontrivial reduction in the size of the explored state space. We present a theory of partial order reduction based on stubborn sets in the game-theoretical setting of 2-player games with reachability/safety objectives. Our stubborn reduction allows us to prune the interleaving behaviour of both players in the game, and we formally prove its correctness on the class of games played on general labelled transition systems. We then instantiate the framework to the class of weighted Petri net games with inhibitor arcs and provide its efficient implementation in the model checker TAPAAL. Finally, we evaluate our stubborn reduction on several case studies and demonstrate its efficiency.

Cite as

Frederik Meyer Bønneland, Peter Gjøl Jensen, Kim G. Larsen, Marco Muñiz, and Jiří Srba. Partial Order Reduction for Reachability Games. In 30th International Conference on Concurrency Theory (CONCUR 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 140, pp. 23:1-23:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)


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@InProceedings{bnneland_et_al:LIPIcs.CONCUR.2019.23,
  author =	{B{\o}nneland, Frederik Meyer and Jensen, Peter Gj{\o}l and Larsen, Kim G. and Mu\~{n}iz, Marco and Srba, Ji\v{r}{\'\i}},
  title =	{{Partial Order Reduction for Reachability Games}},
  booktitle =	{30th International Conference on Concurrency Theory (CONCUR 2019)},
  pages =	{23:1--23:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-121-4},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{140},
  editor =	{Fokkink, Wan and van Glabbeek, Rob},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2019.23},
  URN =		{urn:nbn:de:0030-drops-109251},
  doi =		{10.4230/LIPIcs.CONCUR.2019.23},
  annote =	{Keywords: Petri nets, games, synthesis, partial order reduction, stubborn sets}
}
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