5 Search Results for "Faella, Marco"

Document
DOI: 10.4230/LIPIcs.TIME.2024.19
Model Checking Linear Temporal Properties on Polyhedral Systems

Authors: Massimo Benerecetti, Marco Faella, and Fabio Mogavero

Published in: LIPIcs, Volume 318, 31st International Symposium on Temporal Representation and Reasoning (TIME 2024)

Abstract
We study the problem of model checking linear temporal logic formulae on finite trajectories generated by polyhedral differential inclusions, thus enriching the landscape of models where such specifications can be effectively verified. Each model in the class comprises a static and a dynamic component. The static component features a finite set of observables represented by (non-necessarily convex) polyhedra. The dynamic one is given by a convex polyhedron constraining the dynamics of the system, by specifying the possible slopes of the trajectories in each time instant. We devise an exact algorithm that computes a symbolic representation of the region of points that existentially satisfy a given formula φ, i.e., the points from which there exists a trajectory satisfying φ.
Cite as

Massimo Benerecetti, Marco Faella, and Fabio Mogavero. Model Checking Linear Temporal Properties on Polyhedral Systems. In 31st International Symposium on Temporal Representation and Reasoning (TIME 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 318, pp. 19:1-19:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

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@InProceedings{benerecetti_et_al:LIPIcs.TIME.2024.19,
  author =	{Benerecetti, Massimo and Faella, Marco and Mogavero, Fabio},
  title =	{{Model Checking Linear Temporal Properties on Polyhedral Systems}},
  booktitle =	{31st International Symposium on Temporal Representation and Reasoning (TIME 2024)},
  pages =	{19:1--19:23},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-349-2},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{318},
  editor =	{Sala, Pietro and Sioutis, Michael and Wang, Fusheng},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TIME.2024.19},
  URN =		{urn:nbn:de:0030-drops-212267},
  doi =		{10.4230/LIPIcs.TIME.2024.19},
  annote =	{Keywords: Model Checking, Real-Time Systems, LTLf, RTLf}
}
Document
DOI: 10.4230/LIPIcs.CONCUR.2024.20
Behavioural Metrics: Compositionality of the Kantorovich Lifting and an Application to Up-To Techniques

Authors: Keri D'Angelo, Sebastian Gurke, Johanna Maria Kirss, Barbara König, Matina Najafi, Wojciech Różowski, and Paul Wild

Published in: LIPIcs, Volume 311, 35th International Conference on Concurrency Theory (CONCUR 2024)

Abstract
Behavioural distances of transition systems modelled via coalgebras for endofunctors generalize traditional notions of behavioural equivalence to a quantitative setting, in which states are equipped with a measure of how (dis)similar they are. Endowing transition systems with such distances essentially relies on the ability to lift functors describing the one-step behavior of the transition systems to the category of pseudometric spaces. We consider the category theoretic generalization of the Kantorovich lifting from transportation theory to the case of lifting functors to quantale-valued relations, which subsumes equivalences, preorders and (directed) metrics. We use tools from fibred category theory, which allow one to see the Kantorovich lifting as arising from an appropriate fibred adjunction. Our main contributions are compositionality results for the Kantorovich lifting, where we show that that the lifting of a composed functor coincides with the composition of the liftings. In addition, we describe how to lift distributive laws in the case where one of the two functors is polynomial (with finite coproducts). These results are essential ingredients for adapting up-to-techniques to the case of quantale-valued behavioural distances. Up-to techniques are a well-known coinductive technique for efficiently showing lower bounds for behavioural distances. We illustrate the results of our paper in two case studies.
Cite as

Keri D'Angelo, Sebastian Gurke, Johanna Maria Kirss, Barbara König, Matina Najafi, Wojciech Różowski, and Paul Wild. Behavioural Metrics: Compositionality of the Kantorovich Lifting and an Application to Up-To Techniques. In 35th International Conference on Concurrency Theory (CONCUR 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 311, pp. 20:1-20:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

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@InProceedings{dangelo_et_al:LIPIcs.CONCUR.2024.20,
  author =	{D'Angelo, Keri and Gurke, Sebastian and Kirss, Johanna Maria and K\"{o}nig, Barbara and Najafi, Matina and R\'{o}\.{z}owski, Wojciech and Wild, Paul},
  title =	{{Behavioural Metrics: Compositionality of the Kantorovich Lifting and an Application to Up-To Techniques}},
  booktitle =	{35th International Conference on Concurrency Theory (CONCUR 2024)},
  pages =	{20:1--20:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-339-3},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{311},
  editor =	{Majumdar, Rupak and Silva, Alexandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2024.20},
  URN =		{urn:nbn:de:0030-drops-207921},
  doi =		{10.4230/LIPIcs.CONCUR.2024.20},
  annote =	{Keywords: behavioural metrics, coalgebra, Galois connections, quantales, Kantorovich lifting, up-to techniques}
}
Document
DOI: 10.4230/LIPIcs.CONCUR.2024.27
Inaproximability in Weighted Timed Games

Authors: Quentin Guilmant and Joël Ouaknine

Published in: LIPIcs, Volume 311, 35th International Conference on Concurrency Theory (CONCUR 2024)

Abstract
We consider two-player, turn-based weighted timed games played on timed automata equipped with (positive and negative) integer weights, in which one player seeks to reach a goal location whilst minimising the cumulative weight of the underlying path. Although the value problem for such games (is the value of the game below a given threshold?) is known to be undecidable, the question of whether one can approximate this value has remained a longstanding open problem. In this paper, we resolve this question by showing that approximating arbitrarily closely the value of a given weighted timed game is computationally unsolvable.
Cite as

Quentin Guilmant and Joël Ouaknine. Inaproximability in Weighted Timed Games. In 35th International Conference on Concurrency Theory (CONCUR 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 311, pp. 27:1-27:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

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@InProceedings{guilmant_et_al:LIPIcs.CONCUR.2024.27,
  author =	{Guilmant, Quentin and Ouaknine, Jo\"{e}l},
  title =	{{Inaproximability in Weighted Timed Games}},
  booktitle =	{35th International Conference on Concurrency Theory (CONCUR 2024)},
  pages =	{27:1--27:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-339-3},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{311},
  editor =	{Majumdar, Rupak and Silva, Alexandra},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CONCUR.2024.27},
  URN =		{urn:nbn:de:0030-drops-207998},
  doi =		{10.4230/LIPIcs.CONCUR.2024.27},
  annote =	{Keywords: Weighted timed games, approximation, undecidability}
}
Document
DOI: 10.4230/LIPIcs.CSL.2016.29
Hedging Bets in Markov Decision Processes

Authors: Rajeev Alur, Marco Faella, Sampath Kannan, and Nimit Singhania

Published in: LIPIcs, Volume 62, 25th EACSL Annual Conference on Computer Science Logic (CSL 2016)

Abstract
The classical model of Markov decision processes with costs or rewards, while widely used to formalize optimal decision making, cannot capture scenarios where there are multiple objectives for the agent during the system evolution, but only one of these objectives gets actualized upon termination. We introduce the model of Markov decision processes with alternative objectives (MDPAO) for formalizing optimization in such scenarios. To compute the strategy to optimize the expected cost/reward upon termination, we need to figure out how to balance the values of the alternative objectives. This requires analysis of the underlying infinite-state process that tracks the accumulated values of all the objectives. While the decidability of the problem of computing the exact optimal strategy for the general model remains open, we present the following results. First, for a Markov chain with alternative objectives, the optimal expected cost/reward can be computed in polynomial-time. Second, for a single-state process with two actions and multiple objectives we show how to compute the optimal decision strategy. Third, for a process with only two alternative objectives, we present a reduction to the minimum expected accumulated reward problem for one-counter MDPs, and this leads to decidability for this case under some technical restrictions. Finally, we show that optimal cost/reward can be approximated up to a constant additive factor for the general problem.
Cite as

Rajeev Alur, Marco Faella, Sampath Kannan, and Nimit Singhania. Hedging Bets in Markov Decision Processes. In 25th EACSL Annual Conference on Computer Science Logic (CSL 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 62, pp. 29:1-29:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)

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@InProceedings{alur_et_al:LIPIcs.CSL.2016.29,
  author =	{Alur, Rajeev and Faella, Marco and Kannan, Sampath and Singhania, Nimit},
  title =	{{Hedging Bets in Markov Decision Processes}},
  booktitle =	{25th EACSL Annual Conference on Computer Science Logic (CSL 2016)},
  pages =	{29:1--29:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-022-4},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{62},
  editor =	{Talbot, Jean-Marc and Regnier, Laurent},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2016.29},
  URN =		{urn:nbn:de:0030-drops-65698},
  doi =		{10.4230/LIPIcs.CSL.2016.29},
  annote =	{Keywords: Markov decision processes, Infinite state systems, Multi-objective optimization}
}
Document
DOI: 10.4230/OASIcs.TrustworthySW.2006.766
An Introduction to the Tool Ticc

Authors: Axel Legay, Luca de Alfaro, and Marco Faella

Published in: OASIcs, Volume 3, Workshop on Trustworthy Software (2006)

Abstract
This paper is a tutorial introduction to the sociable interface model of [12] and its underlying tool \textsc{Tcc}. The paper starts with a survey of the theory of interfaces and then introduces the sociable interface model that is a game-based model with rich communication primitives to facilitate the modeling of software and distributed systems. The model and its main features are then intensivelly discussed and illustrated using the tool \textsc{Tcc}.
Cite as

Axel Legay, Luca de Alfaro, and Marco Faella. An Introduction to the Tool Ticc. In Workshop on Trustworthy Software. Open Access Series in Informatics (OASIcs), Volume 3, pp. 1-32, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{legay_et_al:OASIcs.TrustworthySW.2006.766,
  author =	{Legay, Axel and de Alfaro, Luca and Faella, Marco},
  title =	{{An Introduction to the Tool Ticc}},
  booktitle =	{Workshop on Trustworthy Software},
  pages =	{1--32},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-02-6},
  ISSN =	{2190-6807},
  year =	{2006},
  volume =	{3},
  editor =	{Autexier, Serge and Merz, Stephan and van der Torre, Leon and Wilhelm, Reinhard and Wolper, Pierre},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.TrustworthySW.2006.766},
  URN =		{urn:nbn:de:0030-drops-7667},
  doi =		{10.4230/OASIcs.TrustworthySW.2006.766},
  annote =	{Keywords: Open system, game, interface automata}
}
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