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math.LO2019
Equivalents of the finitary non-deterministic inductive definitions
Ayana Hirata, Hajime Ishihara, Tatsuji Kawai +1
We present statements equivalent to some fragments of the principle of non-deterministic inductive definitions (NID) by van den Berg (2013), working in a weak subsystem of construc…
math.LO2014★ 8 cited
Classical propositional logic and decidability of variables in intuitionistic propositional logic
Hajime Ishihara
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 whe…