Classical propositional logic and decidability of variables in intuitionistic propositional logic
Hajime Ishihara
Abstract
Open-access reader
Hajime Ishihara
Abstract
Open-access reader
We improve the answer to the question: what set of excluded middles for propositional variables in a formula suffices to prove the formula in intuitionistic propositional logic whenever it is provable in classical propositional logic.
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We improve the answer to the question: what set of excluded middles for propositional variables in a formula suffices to prove the formula in intuitionistic propositional logic whenever it is provable in classical propositional logic.
Key concepts: Propositional variable, Well-formed formula, Zeroth-order logic, Autoepistemic logic, Intermediate logic, Intuitionistic logic, Decidability, Propositional calculus