Extensional Higher-Order Logic Programming [chapter]

Angelos Charalambidis, Konstantinos Handjopoulos, Panos Rondogiannis, William W. Wadge
<span title="">2010</span> <i title="Springer Berlin Heidelberg"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
We propose a purely extensional semantics for higher-order logic programming. Under this semantics, 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 the immediate consequence operator of the program. We also propose an SLD-resolution proof procedure which is sound and complete with respect to the minimum model semantics. In other words, we provide a purely extensional theoretical framework for
more &raquo; ... igher-order logic programming which generalizes the familiar theory of classical (first-order) logic programming.
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-642-15675-5_10">doi:10.1007/978-3-642-15675-5_10</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wttojqsxsbh2vayedz6wzd6leq">fatcat:wttojqsxsbh2vayedz6wzd6leq</a> </span>
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