Automated constructivization of proofs

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Abstract

No computable function can output a constructive proof from a classical one whenever its associated theorem also holds constructively. We show in this paper that it is however possible, in practice, to turn a large amount of classical proofs into constructive ones. We describe for this purpose a linear-time constructivization algorithm which is provably complete on large fragments of predicate logic.

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Gilbert, F. (2017). Automated constructivization of proofs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10203 LNCS, pp. 480–495). Springer Verlag. https://doi.org/10.1007/978-3-662-54458-7_28

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