Download A Grammatical View of Logic Programming by Pierre Deransart PDF

By Pierre Deransart

In the box of good judgment programming there were a number of makes an attempt to rework grammars into good judgment courses. This e-book describes a complementary strategy that perspectives common sense courses as grammars and indicates how this new presentation of the rules of common sense programming, in keeping with the proposal of evidence timber, can enhance the field.

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

The ebook additionally encompasses a presentation of verification equipment for yes courses derived from verification equipment for characteristic grammars, and an research of the occur-check challenge for example of the way the grammatical view of good judgment programming could be applied.

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

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

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Extra resources for A Grammatical View of Logic Programming

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Thus, the construction process consists in rewriting of the original nonterminal (integer numeral) by the BNF rules until a terminal string 2 is obtained, During the rewriting some choices are made. Systematic exploration of all of them would lead to enumeration of all elements of the language defined. EJ Copyrighted Material Preliminaries 5 The ideas illustrated by the example are now formalized by the fol- lowing definitions. 1 A context-free grammar is a triple (N, E, P), where N is a finite set of nonterminal symbols, E is a finite set of terminal symbols disjoint with N, P is a finite set of pairs X -f a, where X E N, a E (N U E n The strings over the alphabet E are called terminal strings.

Let be a formula and let {x1,. , x,,} for some n O be the set of all The formula Vi1 . Vx,/ will be called the universal variables free in . . closure of ç5 and will be denoted V. Similarly, the formula x1 will be called the existential closure of / and will be denoted universal closure and the existential closure of a closed formula Copyrighted Material . . The . is . 3 The semantics of formulae The meaning of an R-formula is defined by relating the signature R to an R-structure. This is described by the following formal notion.

M the label of the i-th . 1 E A leaf of the skeleton labeled by I is called an incomplete node. The other nodes are called complete nodes. The skeleton without incomplete nodes is called a complete skeleton, otherwise it is incomplete. A complete or incomplete skeleton is also said partial. By analogy to derivation trees we also define the notions of the head of a skeleton and of the atom of an incomplete node. am. Then the atom h will be called the head of S. 10 Let n be an incomplete node of a skeleton and let i be the number such that n is the i-th child of its parent.

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