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arXiv · 1510.04661

A Type-Theoretic Approach to Resolution

Peng Fu·Ekaterina Komendantskaya
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Abstract

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.

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Peng Fu, Ekaterina Komendantskaya. 2015-10-15. A Type-Theoretic Approach to Resolution. https://arxiv.org/abs/1510.04661

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