A second-order pattern matching algorithm for the cube of typed λ-calculi

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Abstract

In [16] [17] Huet gives an algorithm for second-order pattern matching in the simply typed λ-calcuius. We generalize this algorithm to the calculi of Barendregt’s cube [1]. The same result is presented in a longer paper where proofs are given [8].

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Dowek, G. (1991). A second-order pattern matching algorithm for the cube of typed λ-calculi. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 520 LNCS, pp. 151–160). Springer Verlag. https://doi.org/10.1007/3-540-54345-7_58

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