A Labelled Sequent System for Tense Logic Kt

The method of labelled tableaux for proof search in modal logics is extended and modified to give a labelled sequent system for the tense logic K t. Soundness and completeness proofs are sketched, and results of an initial lean Prolog implementation in the programming style of lean T A P are presented. The sequent system is modular in that small modifications capture any combination of the reflexive, transitive, euclidean, symmetric and serial extensions of K t.

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