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A Type-Theoretic Approach to Resolution

We propose a new type-theoretic approach to SLD-resolution and Horn-clause logic programming. It views Horn formulas as types, and derivations for a given query as a construction of the inhabitant (a proof-term) for the type given by the query. We propose a method of program transformation that allows to transform logic programs in such a way that proof evidence is computed alongside SLD-derivations. We discuss two applications of this approach: in recently proposed productivity theory of structural resolution, and in type class inference.

preprint2015arXivOpen access
Peng FuEkaterina Komendantskaya
Logic in Computer Science
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Open access2 authors1 topic
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Peng FuEkaterina Komendantskaya

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