Non-deterministic temporal logics for general flow systems

Jennifer M. Davoren, Vangham Coulthard, Nicolas Markey, Thomas Moor

    Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

    33 Citations (Scopus)

    Abstract

    In this paper, we use the constructs of branching temporal logic to formalize reasoning about a class of general flow systems, including discretetime transition systems, continuous-time differential inclusions, and hybrid-time systems such as hybrid automata. We introduce Full General Flow Logic, GFL*, which has essentially the same syntax as the well-known Full Computation Tree Logic, CTL*, but generalizes the semantics to general flow systems over arbitrary time-lines. We propose an axiomatic proof system for GFL* and establish its soundness w.r.t. the general flow semantics.

    Original languageEnglish
    Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    EditorsRajeev Alur, George J. Pappas
    PublisherSpringer Verlag
    Pages280-295
    Number of pages16
    ISBN (Print)3540212590, 9783540212591
    DOIs
    Publication statusPublished - 2004

    Publication series

    NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    Volume2993
    ISSN (Print)0302-9743
    ISSN (Electronic)1611-3349

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