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arXiv · 1612.07167

Second order intuitionistic propositional logic of the real line is decidable

Konrad Zdanowski
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Abstract

It is known that the set of tautologies of second order intuitionistic propositional logic, $\mathrm{IPC} 2$, is undecidable. Here, we prove that the sets of formulas of $\mathrm{IPC} 2$ which are true in the algebra of open subsets of reals or rationals are decidable.

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Konrad Zdanowski. 2016-12-21. Second order intuitionistic propositional logic of the real line is decidable. https://arxiv.org/abs/1612.07167

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