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Journal of Logic and Computation 2003 13(2):195-239; doi:10.1093/logcom/13.2.195
© 2003 by Oxford University Press
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Original Article

A Decision Procedure and Complete Axiomatization of Finite Interval Temporal Logic with Projection

Howard Bowman1 and Simon Thompson1

1 Computing Laboratory, University of Kent at Canterbury, Canterbury, Kent, CT2 7NF. E-mail: H.Bowman{at}ukc.ac.ukS.J.Thompson{at}ukc.ac.uk

This paper presents a complete axiomatization for propositional interval temporal logic (PITL) with projection. The axiomatization is based on a tableau decision procedure for the logic, which in turn is founded upon a normal form for PITL formluae. The construction of the axiomatization provides a general mechanism for generating axiomatizations thus: given a normal form for a new connective, axioms can be generated for the connective from the tableau construction using that normal form. The paper concludes with a discussion of aspects of compositionality for PITL with projection.

Keywords: Tableau; temporal; decision procedure; interval; chop; projection; normal form; complete axiomatization

Received 23 March 2000.


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