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Abstract
Sentences in first-order predicate logic is usefully taken as programs during this paper the operational and fixpoint linguistics of predicate logic programs area unit outlined, and also the connections with the proof theory and model theory of logic area unit investigated it’s finished that operational linguistics could be a a part of proof theory which fixpoint linguistics could be a special case of model-theoretic linguistics key words and phrases predicate logic as a formal language, linguistics of programming languages, resolution theorem proving, operaUonal versus denotational linguistics, fixpoint characterization.
Introduction
Predicate logic plays a very important role in several formal models of pc programs. Here we tend to square measure involved with the interpretation of predicate logic as a artificial language. The programming language system based mostly upon the procedural interpretation, has been used for several formidable programming tasks. we tend to compare the ensuing linguistics with the classical linguistics studied by logicians. two sorts of linguistics, operational and fix point, are outlined for program languages. Operational linguistics defines the input-output relation computed by a program in terms of the operations induced by the program within a machine. The which means of a program to the input-output relation obtained by corporal punishment the program on the machine. As a machine freelance different to operational linguistics, fixpoint linguistics defines the mean of a program to be the input output relation that to the stripped fixpoint of a change assonated with the program. Fix purpose linguistics has been to justify existing ways for proving properties of programs and to inspire and justify new ways of proof relation, and truth.
A Syntax of Well-Formed Formulas
It is convention to limit attention to predicate logic programs written m grammatical construction type. Such programs have AN particularly easy syntax however retain all the communicative power of the full predicate logic. A sentence may be a finite set of clauses. A clause may be a disjunction Li V ‘ ” V Ln of literals L
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