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![]() Title:A Framework for Intuitionistic Grammar Logics Authors:Tim Lyon Conference:CLAR 2021 Tags:Artificial intelligence, Bi-relational model, Canonical model, Completeness, Computer science, Context-free, Converse, Grammar logic, Intuitionistic grammar logic, Intuitionistic logic, Intuitionistic modal logic, Intuitionistic path axiom, Modal logic and Path axiom Abstract: We generalize intuitionistic tense logics to the multi-modal case by placing grammar logics on an intuitionistic footing. We provide axiomatizations for a class of base intuitionistic grammar logics as well as provide axiomatizations for extensions with combinations of seriality axioms and what we call "intuitionistic path axioms". We show that each axiomatization is sound and complete with completeness being shown via a typical canonical model construction. A Framework for Intuitionistic Grammar Logics ![]() A Framework for Intuitionistic Grammar Logics | ||||
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