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A MONA-based Decision Procedure for Propositional Interval Temporal Logic

Gomez, Rodolfo and Bowman, Howard (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 Kent University, Vienna, Austria (Unpublished) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:13933)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
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: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing
Depositing User: Mark Wheadon
Date Deposited: 24 Nov 2008 18:00 UTC
Last Modified: 16 Nov 2021 09:52 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/13933 (The current URI for this page, for reference purposes)
Bowman, Howard: https://orcid.org/0000-0003-4736-1869
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