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Documents authored by Morvan, Rémi

Document
DOI: 10.4230/DagRep.13.9.166
The Futures of Reactive Synthesis (Dagstuhl Seminar 23391)

Authors: Nathanaël Fijalkow, Bernd Finkbeiner, Guillermo A. Pérez, Elizabeth Polgreen, and Rémi Morvan

Published in: Dagstuhl Reports, Volume 13, Issue 9 (2024)

Abstract
The Dagstuhl Seminar 23391 "The Futures of Reactive Synthesis" held in September 2023 was meant to gather neighbouring communities on a joint goal: Reactive Synthesis. We identified five trends: neural-symbolic computation, template-based solving for constraint programming, symbolic algorithms, syntax-guided synthesis, and model learning; and the objective was to discuss the potential futures of the field.
Cite as

Nathanaël Fijalkow, Bernd Finkbeiner, Guillermo A. Pérez, Elizabeth Polgreen, and Rémi Morvan. The Futures of Reactive Synthesis (Dagstuhl Seminar 23391). In Dagstuhl Reports, Volume 13, Issue 9, pp. 166-184, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)

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@Article{fijalkow_et_al:DagRep.13.9.166,
  author =	{Fijalkow, Nathana\"{e}l and Finkbeiner, Bernd and P\'{e}rez, Guillermo A. and Polgreen, Elizabeth and Morvan, R\'{e}mi},
  title =	{{The Futures of Reactive Synthesis (Dagstuhl Seminar 23391)}},
  pages =	{166--184},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2024},
  volume =	{13},
  number =	{9},
  editor =	{Fijalkow, Nathana\"{e}l and Finkbeiner, Bernd and P\'{e}rez, Guillermo A. and Polgreen, Elizabeth and Morvan, R\'{e}mi},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagRep.13.9.166},
  URN =		{urn:nbn:de:0030-drops-198259},
  doi =		{10.4230/DagRep.13.9.166},
  annote =	{Keywords: program synthesis, program verification, reactive synthesis, temporal synthesis}
}
Document
DOI: 10.4230/LIPIcs.MFCS.2023.17
Separating Automatic Relations

Authors: Pablo Barceló, Diego Figueira, and Rémi Morvan

Published in: LIPIcs, Volume 272, 48th International Symposium on Mathematical Foundations of Computer Science (MFCS 2023)

Abstract
We study the separability problem for automatic relations (i.e., relations on finite words definable by synchronous automata) in terms of recognizable relations (i.e., finite unions of products of regular languages). This problem takes as input two automatic relations R and R', and asks if there exists a recognizable relation S that contains R and does not intersect R'. We show this problem to be undecidable when the number of products allowed in the recognizable relation is fixed. In particular, checking if there exists a recognizable relation S with at most k products of regular languages that separates R from R' is undecidable, for each fixed k ⩾ 2. Our proofs reveal tight connections, of independent interest, between the separability problem and the finite coloring problem for automatic graphs, where colors are regular languages.
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Pablo Barceló, Diego Figueira, and Rémi Morvan. Separating Automatic Relations. In 48th International Symposium on Mathematical Foundations of Computer Science (MFCS 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 272, pp. 17:1-17:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)

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@InProceedings{barcelo_et_al:LIPIcs.MFCS.2023.17,
  author =	{Barcel\'{o}, Pablo and Figueira, Diego and Morvan, R\'{e}mi},
  title =	{{Separating Automatic Relations}},
  booktitle =	{48th International Symposium on Mathematical Foundations of Computer Science (MFCS 2023)},
  pages =	{17:1--17:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-292-1},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{272},
  editor =	{Leroux, J\'{e}r\^{o}me and Lombardy, Sylvain and Peleg, David},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2023.17},
  URN =		{urn:nbn:de:0030-drops-185514},
  doi =		{10.4230/LIPIcs.MFCS.2023.17},
  annote =	{Keywords: Automatic relations, recognizable relations, separability, finite colorability}
}
Document
DOI: 10.4230/LIPIcs.ICDT.2023.15
Approximation and Semantic Tree-Width of Conjunctive Regular Path Queries

Authors: Diego Figueira and Rémi Morvan

Published in: LIPIcs, Volume 255, 26th International Conference on Database Theory (ICDT 2023)

Abstract
We show that the problem of whether a query is equivalent to a query of tree-width k is decidable, for the class of Unions of Conjunctive Regular Path Queries with two-way navigation (UC2RPQs). A previous result by Barceló, Romero, and Vardi [Pablo Barceló et al., 2016] has shown decidability for the case k = 1, and here we show that decidability in fact holds for any arbitrary k > 1. The algorithm is in 2ExpSpace, but for the restricted but practically relevant case where all regular expressions of the query are of the form a^* or (a_1 + ... + a_n) we show that the complexity of the problem drops to Π^p_2. We also investigate the related problem of approximating a UC2RPQ by queries of small tree-width. We exhibit an algorithm which, for any fixed number k, builds the maximal under-approximation of tree-width k of a UC2RPQ. The maximal under-approximation of tree-width k of a query q is a query q' of tree-width k which is contained in q in a maximal and unique way, that is, such that for every query q'' of tree-width k, if q'' is contained in q then q'' is also contained in q'.
Cite as

Diego Figueira and Rémi Morvan. Approximation and Semantic Tree-Width of Conjunctive Regular Path Queries. In 26th International Conference on Database Theory (ICDT 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 255, pp. 15:1-15:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)

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@InProceedings{figueira_et_al:LIPIcs.ICDT.2023.15,
  author =	{Figueira, Diego and Morvan, R\'{e}mi},
  title =	{{Approximation and Semantic Tree-Width of Conjunctive Regular Path Queries}},
  booktitle =	{26th International Conference on Database Theory (ICDT 2023)},
  pages =	{15:1--15:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-270-9},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{255},
  editor =	{Geerts, Floris and Vandevoort, Brecht},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICDT.2023.15},
  URN =		{urn:nbn:de:0030-drops-177575},
  doi =		{10.4230/LIPIcs.ICDT.2023.15},
  annote =	{Keywords: graph databases, conjunctive regular path queries, semantic optimization, tree-width, containment, approximation}
}
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