Abstract
In this paper we consider a weak Ewald’s intuitionistic tense logic (wIK.t). We study its sequent system and algebraic semantics. We prove the soundness and the completeness results. We also show that the sequent system for wIK.t introduced in the present paper admits cut elimination. Finally we propose a criterion and prove that all extensions of wIK.t satisfying this criterion have cut free sequent systems.
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