Computable semantics for CTL* on discrete time and continuous space dynamic systems

Pieter Collins; Ivan S. Zapreev

doi:10.1142/S012905411100843X

Computable semantics for CTL* on discrete time and continuous space dynamic systems

Pieter Collins
, Ivan S. Zapreev^*

^*Corresponding author for this work

BioMathematics and BioInformatics

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

In this work, we consider Discrete-Time Continuous-Space Dynamic Systems for which we study the computability of the standard semantics of CTL* (CTL, LTL) and provide a variant thereof computable in the sense of Type-2 Theory of Effectivity. In particular, we show how the computable model checking of existentially and universally quantified path formulae of LTL can be reduced to solving, respectively, repeated reachability and persistence problems on a model obtained as a parallel composition of the original one and a non-deterministic Buchi automaton corresponding to the verified LTL formula.

Original language	English
Pages (from-to)	801-821
Number of pages	21
Journal	Int. J. Found. Comput. Sci.
Volume	22
Issue number	4
DOIs	https://doi.org/10.1142/S012905411100843X
Publication status	Published - 2011

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title = "Computable semantics for CTL* on discrete time and continuous space dynamic systems",

abstract = "In this work, we consider Discrete-Time Continuous-Space Dynamic Systems for which we study the computability of the standard semantics of CTL* (CTL, LTL) and provide a variant thereof computable in the sense of Type-2 Theory of Effectivity. In particular, we show how the computable model checking of existentially and universally quantified path formulae of LTL can be reduced to solving, respectively, repeated reachability and persistence problems on a model obtained as a parallel composition of the original one and a non-deterministic Buchi automaton corresponding to the verified LTL formula.",

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AB - In this work, we consider Discrete-Time Continuous-Space Dynamic Systems for which we study the computability of the standard semantics of CTL* (CTL, LTL) and provide a variant thereof computable in the sense of Type-2 Theory of Effectivity. In particular, we show how the computable model checking of existentially and universally quantified path formulae of LTL can be reduced to solving, respectively, repeated reachability and persistence problems on a model obtained as a parallel composition of the original one and a non-deterministic Buchi automaton corresponding to the verified LTL formula.

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DO - 10.1142/S012905411100843X

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EP - 821

JO - Int. J. Found. Comput. Sci.

JF - Int. J. Found. Comput. Sci.

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Computable semantics for CTL* on discrete time and continuous space dynamic systems

Abstract

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