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arXiv · 2302.05327

Constraint Automata on Infinite Data Trees: From CTL(Z)/CTL*(Z) To Decision Procedures

Stephane Demri·Karin Quaas
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Abstract

We introduce the class of tree constraint automata with data values in Z (equipped with the less than relation and equality predicates to constants) and we show that the nonemptiness problem is ExpTime-complete. Using an automata-based approach, we establish that the satisfiability problem for CTL(Z) (CTL with constraints in Z) is ExpTime-complete and the satisfiability problem for CTL*(Z) is 2ExpTime-complete solving a longstanding open problem (only decidability was known so far). By-product results with other concrete domains and other logics, such as description logics with concrete domains, are also briefly presented.

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Stephane Demri, Karin Quaas. 2023-02-10. Constraint Automata on Infinite Data Trees: From CTL(Z)/CTL*(Z) To Decision Procedures. https://doi.org/10.46298/lmcs-21(2%3A16)2025

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