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Theorem proving in modal logic using Boolean algebras

Greg Mildenhall,  Mark Reynolds and Tim Stokes

Abstract

We use a uniform Boolean algebra rewrite rule approach to prove tautologies in modal systems. including systems K, K4
(and hence also T and S4) and K5. An algebraic expression derived from a compound proposition is repeatedly rewritten and the proposition is a contradiction if and only if zero is obtained; otherwise teh expression contains information about counterexamples.

Full Paper

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Status

Submitted September 2002..


Online theorem-prover

This theorem-prover uses the Boolean algebra idea to decide the satisfiability or otherwise of formulas in various modal logics..
 


Bibtex

@misc{MRS:boolalg,
author="G. Mildenhall and M. Reynolds and T. Stokes",
title="Theorem proving in modal logic using Boolean algebras",
year="submitted 2002",
}


References