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Resolution Theorem Proving in Reified Model Logics

Record type: Article

This paper is concerned with the application of the resolution theorem proving method to reified logics. The logical systems treated include the branching temporal logics and logics of belief based on K and its extensions. Two important problems concerning the application of the resolution rule to reified systems are identified. The first is the redundancy in the representation of truth functional relationships and the second is the axiomatic reasoning about modal structure. Both cause an unnecessary expansion in the search space. We present solutions to both problems which allow the axioms defining the reified logic to be eliminated from the database during theorem proving hence reducing the search space while retaining completeness. We describe three theorem proving methods which embody our solutions and support our analysis with empirical results.

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Citation

Aitken, J., Reichgelt, H. and Shadbolt, N. R. (1994) Resolution Theorem Proving in Reified Model Logics Journal of Automated Reasoning, 12, pp. 103-129.

More information

Published date: 1994
Organisations: Web & Internet Science

Identifiers

Local EPrints ID: 252303
URI: http://eprints.soton.ac.uk/id/eprint/252303
PURE UUID: 9a0355e5-682f-4b84-b5ad-fd9f060b2cc5

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Date deposited: 20 Jan 2000
Last modified: 17 Apr 2017 23:34

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Contributors

Author: J. Aitken
Author: H. Reichgelt
Author: N. R. Shadbolt

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