Branching-Time Model Checking Gap-Order Constraint Systems
We consider the model checking problem for Gap-order Constraint Systems (GCS) w.r.t. the branching-time temporal logic CTL, and in particular its fragments EG and EF. GCS are nondeterministic infinitely branching processes described by evolutions of integer-valued variables, subject to Presburger co...
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| Published in | Fundamenta informaticae Vol. 143; no. 3-4; pp. 339 - 353 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
London, England
SAGE Publications
04.03.2016
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| Online Access | Get full text |
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| Summary: | We consider the model checking problem for Gap-order Constraint Systems (GCS) w.r.t. the branching-time temporal logic CTL, and in particular its fragments EG and EF. GCS are nondeterministic infinitely branching processes described by evolutions of integer-valued variables, subject to Presburger constraints of the form x − y ≥ k, where x and y are variables or constants and k ∈ ℕ is a non-negative constant. We show that EG model checking is undecidable for GCS, while EF is decidable. In particular, this implies the decidability of strong and weak bisimulation equivalence between GCS and finite-state systems. |
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| ISSN: | 0169-2968 1875-8681 |
| DOI: | 10.3233/FI-2016-1317 |