Resource separation in dynamic logic of propositional assignments
We extend dynamic logic of propositional assignments by adding an operator of parallel composition that is inspired by separation logics. We provide an axiomatization via reduction axioms, thereby establishing decidability. We also prove that the complexity of both the model checking and the satisfi...
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| Published in | Journal of logical and algebraic methods in programming Vol. 121; p. 100683 |
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| Format | Journal Article |
| Language | English |
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01.06.2021
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| Abstract | We extend dynamic logic of propositional assignments by adding an operator of parallel composition that is inspired by separation logics. We provide an axiomatization via reduction axioms, thereby establishing decidability. We also prove that the complexity of both the model checking and the satisfiability problem stay in PSPACE. |
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| AbstractList | We extend dynamic logic of propositional assignments by adding an operator of parallel composition that is inspired by separation logics. We provide an axiomatization via reduction axioms, thereby establishing decidability. We also prove that the complexity of both the model checking and the satisfiability problem stay in PSPACE. We extend dynamic logic of propositional assignments by adding an operator of parallel composition that is inspired by separation logics. We provide an axiomatisation via reduction axioms, thereby establishing decidability. We also prove that the complexity of both the model checking and the satisfiability problem stay in PSPACE. |
| ArticleNumber | 100683 |
| Author | Herzig, Andreas Boudou, Joseph Troquard, Nicolas |
| Author_xml | – sequence: 1 givenname: Joseph orcidid: 0000-0002-9384-2682 surname: Boudou fullname: Boudou, Joseph email: joseph.boudou@matabio.net organization: IRIT, University of Toulouse, France – sequence: 2 givenname: Andreas orcidid: 0000-0003-0833-2782 surname: Herzig fullname: Herzig, Andreas email: Andreas.Herzig@irit.fr organization: IRIT, CNRS, France – sequence: 3 givenname: Nicolas orcidid: 0000-0002-5763-6080 surname: Troquard fullname: Troquard, Nicolas email: Nicolas.Troquard@unibz.it organization: Free University of Bozen-Bolzano, Italy |
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| Keywords | Separation logic Parallel composition Dynamic logic Propositional assignments Concurrency propositional assignments separation logic parallel composition concurrency |
| Language | English |
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| SubjectTerms | Artificial Intelligence Computer Science Concurrency Discrete Mathematics Dynamic logic Logic Mathematics Parallel composition Propositional assignments Separation logic Symbolic Computation |
| Title | Resource separation in dynamic logic of propositional assignments |
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