A Canonical Model Construction for Substructural Logics
Hajime Ishihara · Zenodo (CERN European Organization for Nuclear Research) · 2020
Abstract: In this paper, we introduce a class of substructural logics, called normal substructural logics, which includes not only relevant logic, BCK logic, linear logic and the Lambek calculus but also weak logics with strict implication, and dene Kripke-style semantics (Kripke frames and models) for normal substructural logics. Then we show a correspondence between axioms and properties on frames, and give a canonical construction of Kripke models for normal substructural logics.