Inference in discrete linear temporal logic

Rybakov, Vladimir V. (2005) Inference in discrete linear temporal logic. [Conference or Workshop Item] (Unpublished)

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Abstract

We study logical inference in terms of admissible consecutions (admissible inference rules) for the temporal linear logics. We start by a proof that even linear temporal logics do not enjoy finite model property. Main results of our research are: Theorem 1. The temporal logic DLTL of all integer numbers is decidable w.r.t. admissible inference rules. Theorem 2. The temporal logic L(cln) based on all natural numbers is decidable w.r.t. admissible inference rules.