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Axiomatising extended computation tree logic

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Trees in Algebra and Programming — CAAP '96 (CAAP 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1059))

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Abstract

We present a sound and complete axiomatisation for extended computation tree logic. This language extends the standard computation tree logic CTL * by allowing path formulae to be expressed in linear time mu-calculus instead of linear time temporal logic. The main novelties in the current paper are an inference rule in the axiom system reflecting the limit closure of paths, a new strongly aconjunctive deterministic normal form for formulae, and the way the completeness proof takes advantage of techniques provided by automata theory.

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Authors and Affiliations

  1. Laboratory for Foundations of Computer Science, University of Edinburgh, The King's Buildings, EH9 3JZ, Edinburgh, UK

    Roope Kaivola

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  1. Roope Kaivola
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Hélène Kirchner

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© 1996 Springer-Verlag Berlin Heidelberg

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Kaivola, R. (1996). Axiomatising extended computation tree logic. In: Kirchner, H. (eds) Trees in Algebra and Programming — CAAP '96. CAAP 1996. Lecture Notes in Computer Science, vol 1059. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61064-2_31

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  • DOI: https://doi.org/10.1007/3-540-61064-2_31

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-61064-9

  • Online ISBN: 978-3-540-49944-2

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