Hybrid Branching-Time Logics

dc.creatorWeber, Volker
dc.date2007-08-13
dc.date.accessioned2026-07-07T08:23:25Z
dc.date.available2026-07-07T08:23:25Z
dc.descriptionHybrid branching-time logics are introduced as extensions of CTL-like logics with state variables and the downarrow-binder. Following recent work in the linear framework, only logics with a single variable are considered. The expressive power and the complexity of satisfiability of the resulting logics is investigated. As main result, the satisfiability problem for the hybrid versions of several branching-time logics is proved to be 2EXPTIME-complete. These branching-time logics range from strict fragments of CTL to extensions of CTL that can talk about the past and express fairness-properties. The complexity gap relative to CTL is explained by a corresponding succinctness result. To prove the upper bound, the automata-theoretic approach to branching-time logics is extended to hybrid logics, showing that non-emptiness of alternating one-pebble Buchi tree automata is 2EXPTIME-complete.
dc.descriptionAn extended abstract of this paper was presented at the International Workshop on Hybrid Logics (HyLo 2007)
dc.identifierhttps://arxiv.org/abs/0708.1723
dc.identifierhttp://arxiv.org/abs/0708.1723
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135991
dc.subjectLogic in Computer Science
dc.subjectComputational Complexity
dc.subjectF.4.1
dc.titleHybrid Branching-Time Logics
dc.typetext

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