A MONA-based Decision Procedure for Propositional Interval Temporal Logic

Gomez, R.S. and Bowman, H. (2003) A MONA-based Decision Procedure for Propositional Interval Temporal Logic. Other. Kent University, Vienna, Austria (Unpublished) (The full text of this publication is not available from this repository)

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Official URL
http://www.cs.kent.ac.uk/pubs/2003/1624

Abstract

Interval Temporal Logic (ITL) is a finite-time linear temporal logic with applications in hardware verifi- cation, temporal logic programming and specification of multimedia documents. Due to the inherently non- elementary complexity of its decision problem, efficient ITL-based verification tools have been difficult to de- velop. We give a new decision procedure for Propositional ITL (PITL) implemented on top of MONA, an efficient automata-based decision procedure for the logic WS1S. Despite the non-elementary complexity of WS1S, MONA has been successfully applied in problems such as hardware synthesis, protocol verification and theorem proving. We have developed a new semantics for PITL based on WS1S formulas, which led us to an easy translation to MONA programs. We have implemented the translation algorithm in C, and the general efficiency of the decision procedure is a direct consequence of the many optimisations included in MONA (e.g. BDDs, DAGification and formula reductions). To our knowledge, this is one of the very few implementations of a decision procedure for PITL with projection, and the first one based on automata.

Item Type: Monograph (Other)
Additional information: Workshop of Interval Temporal Logics and Duration Calculi (part of the 15th European Summer School in Logic, Language and Information
Subjects: Q Science > QA Mathematics (inc Computing science) > QA 76 Software, computer programming,
Divisions: Faculties > Science Technology and Medical Studies > School of Computing > Theoretical Computing Group
Depositing User: Mark Wheadon
Date Deposited: 24 Nov 2008 18:00
Last Modified: 20 Apr 2012 11:41
Resource URI: http://kar.kent.ac.uk/id/eprint/13933 (The current URI for this page, for reference purposes)
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