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On the polynomial-space completeness of intuitionistic propositional logic

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Abstract.

We present an alternative, purely semantical and relatively simple, proof of the Statman's result that both intuitionistic propositional logic and its implicational fragment are PSPACE-complete.

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Correspondence to Vítězslav Švejdar.

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This paper was supported by grant 401/01/0218 of the Grant Agency of the Czech Republic. %

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Švejdar, V. On the polynomial-space completeness of intuitionistic propositional logic. Arch. Math. Logic 42, 711–716 (2003). https://doi.org/10.1007/s00153-003-0179-x

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  • DOI: https://doi.org/10.1007/s00153-003-0179-x

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