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Representation theorems and the semantics of (semi)lattice-based logics

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1 Author(s)
Sofronie-Stokkermans, V. ; Max-Planck-Inst. fur Inf., Saarbrucken, Germany

This paper gives a unified presentation of various non-classical logics. We show that a general representation theorem (which has as particular instances the representation theorems as algebras of sets for Boolean algebras, distributive lattices and semilattices) allows to establish a relationship between algebraic models and Kripke-style models, and illustrate the ideas on several examples. Based on this, we present a method for automated theorem proving by resolution for such logics. Other representation theorems, as algebras of sets or as algebras of relations, as well as relational models are also mentioned

Published in:

Multiple-Valued Logic, 2001. Proceedings. 31st IEEE International Symposium on

Date of Conference:

2001