On Some Intuitionistic Modal Logics
Copyright policy )On Some Intuitionistic Modal Logics
Some modal logics based on logics weaker than the classical logic have been studied by Fitch [4], Prior [7], Bull [1], [2], [3], Prawitz [6] etc. Here we treat modal logics based on the intuitionistic propositional logic, which call intuitionistic modal logics (abbreviated as IML’s). Let H be the intuitionistic propositional logic formulated in the Hilbertstyle. The rules of inference of H are modus ponens and the rule of substitution. The IML L0 is obtained from H by adding the following three axioms,
Completeness, Intuitionistic Model Logic, Intuitionistic mathematics, S5, Intermediate logics, S4, Categoricity and completeness of theories, Intuitionistic Propositional Logic, Finite Model Property, Modal logic (including the logic of norms), Kripke Model
Completeness, Intuitionistic Model Logic, Intuitionistic mathematics, S5, Intermediate logics, S4, Categoricity and completeness of theories, Intuitionistic Propositional Logic, Finite Model Property, Modal logic (including the logic of norms), Kripke Model
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