Download A Grammatical View of Logic Programming by Pierre Deransart PDF

By Pierre Deransart

In the box of good judgment programming there were various makes an attempt to rework grammars into good judgment courses. This booklet describes a complementary technique that perspectives common sense courses as grammars and indicates how this new presentation of the rules of common sense programming, in accordance with the inspiration of evidence bushes, can improve the field.

The authors' technique enables dialogue of grammatical points of, and introduces new sorts of semantics for, certain courses. They survey appropriate grammatical formalisms and supply a accomplished advent to the well known characteristic grammars and van Wijngaarden grammars. a proper comparability of yes courses to those grammars permits the authors to spot fascinating grammatical concepts.

The publication additionally encompasses a presentation of verification tools for convinced courses derived from verification tools for characteristic grammars, and an research of the occur-check challenge as an instance of the way the grammatical view of good judgment programming might be applied.

Pierre Deransart is learn Director at INRIA-Rocquencourt, Le Chesnay Cedex, France. Jan Maluszynski is Professor within the division of computing device and knowledge technology at Linköping collage, Sweden.

Contents: Preliminaries. Foundations. Grammatical Extensions of common sense courses. characteristic Grammars. characteristic Grammars and good judgment Programming. facts equipment. research of Declarative homes. The Occur-check challenge.

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Extra info for A Grammatical View of Logic Programming

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The precise meaning of "appropriate instances' is expressed by condition 3. 1 extended, if there exists an appropriate instance of a clause. A node with the empty label will be therefore called an incomplete node of the tree. The other nodes will be called the complete nodes. 4 A derivation tree without incomplete nodes is called a proof tree. It is also a complete derivation tree. A derivation tree which is not a proof tree is said to be incomplete. A derivation tree incomplete or not is also said partial.

2. 2. The question arises how to find a derivation tree extending a given skeleton. 3 p. 27 is satisfied. The condition is of the form aa = h/a' where a' and a are the substitutions to be associated with node n and its parent, respectively. If a and h' share no variable the problem can be solved by finding a most general unifier (mgu) ¡i of the equation a = h'. In this case the restrictions of a (resp. a') to the variables of a (resp. 1 p. 26) Copyrighted Material Chapter 2 40 h') is the restriction of ji to the variables of a (resp.

They allow one to construct tuples of interrelated proof trees: the goal clause combines the tuple into one tree. In this way the proof tree construction techniques are used for construction of tuples of trees. 1 p. 3 37 Equational characterization of derivation trees A derivation tree can be obtained by grafting instances of clauses of the program. We want to develop a nondeterministic construction algorithm based on this observation. The difficulty is in finding appropriate instances of clauses to be grafted.

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