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Titlebook: GWAI-85; 9th German Workshop Herbert Stoyan Conference proceedings 1986 Springer-Verlag Berlin Heidelberg 1986 Expertensystem.Philosophie.

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Colin J. Theaker,Graham R. Brookesof combined functional and logic programming languages are defined. An extended unification algorithm which additonally handles functional expressions is formally introduced to evaluate programs written in those languages. Finally, an implementation of the proposed system is described.
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Equality Reasoning with Equality-pathsrch space usually involved with equality. Starting from an empty graph a production system constructs graphs (equality-paths) which represent solutions for simpler problems defined by abstraction. These graphs contain global information and are plans for guiding the search for a proof of the origina
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Clause Graphs, as they were defined in the 19 possibilities. The nodes are labelled with literals and the edges (links) connect complementary unifiable literals. This report describes a generalization of this concept, called abstract clause graphs. The nodes of abstract clause graphs are still labelled with literals, the links however connect
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The many-sorted first order calculus ∑RP* is be of some lesser sort S’. The heart of such a calculus is the unification algorithm for terms, which respects the declarations. In this paper it is shown, that the set of most general DS-unifiers is recursively enumerable and that such a set may be infinite. Furthermore, it is shown, that it is un
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