A refined resolution calculus for CTL

L. Zhang, U. Hustadt, C. Dixon

Research output: Chapter in Book/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we present a refined resolution-based calculus for Computation Tree Logic (CTL). The calculus requires a polynomial time computable transformation of an arbitrary CTL formula to an equi-satisfiable clausal normal form formulated in an extension of CTL with indexed existential path quantifiers. The calculus itself consists of a set of resolution rules which can be used as the basis for an EXPTIME decision procedure for the satisfiability problem of CTL. We prove soundness and completeness of the calculus. In addition, we introduce CTL-RP, our implementation of the calculus as well as some experimental results.
Original languageEnglish
Title of host publicationAutomated Deduction – CADE-22
Subtitle of host publication22nd International Conference on Automated Deduction, Montreal, Canada, August 2-7, 2009. Proceedings
PublisherSpringer Nature
Pages245-260
Number of pages16
ISBN (Electronic)978-3-642-02959-2
ISBN (Print)978-3-642-02958-5
DOIs
Publication statusPublished - 2009
Event22nd International Conference on Automated Deduction, CADE-22 - Montreal, Canada
Duration: 2 Aug 20097 Aug 2009

Publication series

NameLecture Notes in Computer Science
PublisherSpringer
Volume5663
NameLecture Notes in Artificial Intelligence
PublisherSpringer
Volume5663

Conference

Conference22nd International Conference on Automated Deduction, CADE-22
Country/TerritoryCanada
CityMontreal
Period2/08/097/08/09

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