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Documents authored by Cîrstea, Corina

Document
DOI: 10.4230/LIPIcs.CSL.2023.14
Measure-Theoretic Semantics for Quantitative Parity Automata

Authors: Corina Cîrstea and Clemens Kupke

Published in: LIPIcs, Volume 252, 31st EACSL Annual Conference on Computer Science Logic (CSL 2023)

Abstract
Quantitative parity automata (QPAs) generalise non-deterministic parity automata (NPAs) by adding weights from a certain semiring to transitions. QPAs run on infinite word/tree-like structures, modelled as coalgebras of a polynomial functor F. They can also arise as certain products between a quantitative model (with branching modelled via the same semiring of quantities, and linear behaviour described by the functor F) and an NPA (modelling a qualitative property of F-coalgebras). We build on recent work on semiring-valued measures to define a way to measure the set of paths through a quantitative branching model which satisfy a qualitative property (captured by an unambiguous NPA running on F-coalgebras). Our main result shows that the notion of extent of a QPA (which generalises non-emptiness of an NPA, and is defined as the solution of a nested system of equations) provides an equivalent characterisation of the measure of the accepting paths through the QPA. This result makes recently-developed methods for computing nested fixpoints available for model checking qualitative, linear-time properties against quantitative branching models.
Cite as

Corina Cîrstea and Clemens Kupke. Measure-Theoretic Semantics for Quantitative Parity Automata. In 31st EACSL Annual Conference on Computer Science Logic (CSL 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 252, pp. 14:1-14:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)

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@InProceedings{cirstea_et_al:LIPIcs.CSL.2023.14,
  author =	{C\^{i}rstea, Corina and Kupke, Clemens},
  title =	{{Measure-Theoretic Semantics for Quantitative Parity Automata}},
  booktitle =	{31st EACSL Annual Conference on Computer Science Logic (CSL 2023)},
  pages =	{14:1--14:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-264-8},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{252},
  editor =	{Klin, Bartek and Pimentel, Elaine},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2023.14},
  URN =		{urn:nbn:de:0030-drops-174755},
  doi =		{10.4230/LIPIcs.CSL.2023.14},
  annote =	{Keywords: parity automaton, coalgebra, measure theory}
}
Document
DOI: 10.4230/LIPIcs.CALCO.2017.7
Parity Automata for Quantitative Linear Time Logics

Authors: Corina Cirstea, Shunsuke Shimizu, and Ichiro Hasuo

Published in: LIPIcs, Volume 72, 7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017)

Abstract
We initiate a study of automata-based model checking for previously proposed quantitative linear time logics interpreted over coalgebras. Our results include: (i) an automata-theoretic characterisation of the semantics of these logics, based on a notion of extent of a quantitative parity automaton, (ii) a study of the expressive power of Buchi variants of such automata, with implications on the expressiveness of fragments of the logics considered, and (iii) a naive algorithm for computing extents, under additional assumptions on the domain of truth values.
Cite as

Corina Cirstea, Shunsuke Shimizu, and Ichiro Hasuo. Parity Automata for Quantitative Linear Time Logics. In 7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 72, pp. 7:1-7:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)

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@InProceedings{cirstea_et_al:LIPIcs.CALCO.2017.7,
  author =	{Cirstea, Corina and Shimizu, Shunsuke and Hasuo, Ichiro},
  title =	{{Parity Automata for Quantitative Linear Time Logics}},
  booktitle =	{7th Conference on Algebra and Coalgebra in Computer Science (CALCO 2017)},
  pages =	{7:1--7:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-033-0},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{72},
  editor =	{Bonchi, Filippo and K\"{o}nig, Barbara},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2017.7},
  URN =		{urn:nbn:de:0030-drops-80468},
  doi =		{10.4230/LIPIcs.CALCO.2017.7},
  annote =	{Keywords: coalgebra, quantitative logic, linear time logic, parity automaton}
}
Document
DOI: 10.4230/LIPIcs.CALCO.2015.66
Canonical Coalgebraic Linear Time Logics

Authors: Corina Cirstea

Published in: LIPIcs, Volume 35, 6th Conference on Algebra and Coalgebra in Computer Science (CALCO 2015)

Abstract
We extend earlier work on linear time fixpoint logics for coalgebras with branching, by showing how propositional operators arising from the choice of branching monad can be canonically added to these logics. We then consider two semantics for the uniform modal fragments of such logics: the previously-proposed, step-wise semantics and a new semantics akin to those of path-based logics. We prove that the two semantics are equivalent, and show that the canonical choice made for resolving branching in these logics is crucial for this property. We also state conditions under which similar, non-canonical logics enjoy the same property - this applies both to the choice of a branching modality and to the choice of linear time modalities. Our logics allow reasoning about linear time behaviour in systems with non-deterministic, probabilistic or weighted branching. In all these cases, the logics enhanced with propositional operators gain in expressiveness. Another contribution of our work is a reformulation of fixpoint semantics, which applies to any coalgebraic modal logic whose semantics arises from a one-step semantics.
Cite as

Corina Cirstea. Canonical Coalgebraic Linear Time Logics. In 6th Conference on Algebra and Coalgebra in Computer Science (CALCO 2015). Leibniz International Proceedings in Informatics (LIPIcs), Volume 35, pp. 66-85, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)

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@InProceedings{cirstea:LIPIcs.CALCO.2015.66,
  author =	{Cirstea, Corina},
  title =	{{Canonical Coalgebraic Linear Time Logics}},
  booktitle =	{6th Conference on Algebra and Coalgebra in Computer Science (CALCO 2015)},
  pages =	{66--85},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-84-2},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{35},
  editor =	{Moss, Lawrence S. and Sobocinski, Pawel},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CALCO.2015.66},
  URN =		{urn:nbn:de:0030-drops-55274},
  doi =		{10.4230/LIPIcs.CALCO.2015.66},
  annote =	{Keywords: coalgebra, linear time logic, fixpoint logic}
}
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