On the strong normalisation of natural deduction with permutation-conversions

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Abstract

We present a modular proof of the strong normalisation of intuitionistic logic with permutation-conversions. This proof is based on the notions of negative translation and CPS-simulation.

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de Groote, P. (1999). On the strong normalisation of natural deduction with permutation-conversions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1631, pp. 45–59). Springer Verlag. https://doi.org/10.1007/3-540-48685-2_4

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