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Derived preconditions and their use in program synthesis

Identifieur interne : 004361 ( Main/Merge ); précédent : 004360; suivant : 004362

Derived preconditions and their use in program synthesis

Auteurs : R. Smith [États-Unis]

Source :

RBID : ISTEX:6B63D41968FFC10EE987372D50A6CB0E02B55305

Abstract

Abstract: In this paper we pose and begin to explore a deductive problem more general than that of finding a proof that a given goal formula logically follows from a given set of hypotheses. The problem is most simply stated in the propositional calculus: given a goal A and hypothesis H we wish to find a formula P, called a precondition, such that A logically follows from P ∧ H. A precondition provides any additional conditions under which A can be shown to follow from H. A slightly more complex definition of preconditions in a first-order theory is given and used throughout the paper. A formal system based on natural deduction is presented in which preconditions can be derived. A number of examples are then given which show how derived preconditions are used in a program synthesis method we are developing. These uses include theorem proving, formula simplification, simple code generation, the completion of partial specifications for a subalgorithm, and other tasks of a deductive nature.

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DOI: 10.1007/BFb0000059

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ISTEX:6B63D41968FFC10EE987372D50A6CB0E02B55305

Le document en format XML

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