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arXiv · 1106.3457

Extensional Higher-Order Logic Programming

A. Charalambidis·K. Handjopoulos·P. Rondogiannis·W. W. Wadge
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Abstract

We propose a purely extensional semantics for higher-order logic programming. In this semantics program predicates denote sets of ordered tuples, and two predicates are equal iff they are equal as sets. Moreover, every program has a unique minimum Herbrand model which is the greatest lower bound of all Herbrand models of the program and the least fixed-point of an immediate consequence operator. We also propose an SLD-resolution proof procedure which is proven sound and complete with respect to the minimum model semantics. In other words, we provide a purely extensional theoretical framework for higher-order logic programming which generalizes the familiar theory of classical (first-order) logic programming.

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BibTeXRIS

A. Charalambidis, K. Handjopoulos, P. Rondogiannis, W. W. Wadge. 2011-06-17. Extensional Higher-Order Logic Programming. https://arxiv.org/abs/1106.3457

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