Abstract
A simple decision deductive-based procedure for the so- called clausal miniscoped fragment of a first-order linear temporal logic with temporal operators Next and Always is presented. The soundness and completeness of the proposed decision procedure is proved.
Acknowledgements
I am greatly indebted to Professor M.Fisher and Dr. A. Degtiarev for their useful scientific discussions and remarks during my fellowship (May-July, 2000) at Manchester Metropolitan University. I would like to thank also the anonymous reviewers for helpful comments.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
M. Fisher, A resolution method for temporal logic, Proc. of the IJCAI, Sydney, 99–104 (1991).
M. Fisher, A normal form for temporal logics and its applications in theorem proving and execution, Journal of Logic and Computation, 7(4), 429–456 (1997).
M. Fisher, C. Dixon, and M. Peim, Clausal temporal resolution (To appear in: ACM Transactions on Computational Logic).
I. Hodkinson, F. Wolter, Zakharyaschev M.: Decidable fragments of first-order temporal logics. (To appear in: Annals of Pure and Applied Logic).
H. Kawai, Sequential calculus for a first-order infinitary temporal logic, Zeitchr. fur Math. Logic und Grundlagen der Math. 33 (1987) 423–452.
R. Pliuškevičius, On saturated calculi for a linear temporal logic. LNCS 711, (1993) 640–650.
R. Pliuškevičius, The saturated tableaux for linear miniscoped Horn-like temporal logic, Journal of Automated Reasoning 13 (1994) 51–67.
R. Pliuškevičius, On ω-decidable and decidable deductive procedures for a restricted FTL with Unless, Proc. of FTP (2000) 194–205, St. Andrews, UK.
R. Pliuškevičius, A deductive decision procedure for a restricted FTL. Abstracts of Seventh Workshop on Automated Reasoning (2000), London.
R. Pliuškevičius, On an ω-decidable deductive procedure for non-Horn sequents of a restricted FTL, LNAI 1861, 523–537 (2000).
A. Szalas, Concerning the semantic consequence relation in first-order temporal logic, Theoretical Comput. Sci. 47 (1986) 329–334.
A. Szalas, A complete axiomatic characterization of first-order temporal logic of linear time, Theoretical Comput. Sci. 54 (1987) 199–214.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Pliuškevičius, R. (2001). Deduction-Based Decision Procedure for a Clausal Miniscoped Fragment of FTL. In: Goré, R., Leitsch, A., Nipkow, T. (eds) Automated Reasoning. IJCAR 2001. Lecture Notes in Computer Science, vol 2083. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45744-5_9
Download citation
DOI: https://doi.org/10.1007/3-540-45744-5_9
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-42254-9
Online ISBN: 978-3-540-45744-2
eBook Packages: Springer Book Archive