Denotational semantics: a methodology for language development
Denotational semantics: a methodology for language development
Introduction to combinators and &lgr;-calculus
Introduction to combinators and &lgr;-calculus
Denotational semantics for program analysis
ACM SIGPLAN Notices
Abstract Interpretation of Declarative Languages
Abstract Interpretation of Declarative Languages
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Denotational semantics is presented as a valuable theoretical tool, having many applications including language design, compiler generation and program analysis. In particular, a method is described for deriving a concise and useful functional representation of a program using a denotational definition of the source language's semantics.Our aim is to translate a given program into a compact functional representation to facilitate its evaluation on functional hardware. The λ-expressions are first translated into Turner's combinator code (see [7]). We choose to use a fixed set of combinators as the resulting code is more amenable to analysis and there are many inherent advantages such as lazy evaluation and once only evaluation of reducible sub-expressions.Semantic algebras relating to static semantics and the store algebra are "unfrozen" so they can be partially evaluated. The reduction machine that performs the evaluation includes simplification rules that allows a more compact functional representation (denotation) to be reached. If desired, some or all of the programs arguments can be supplied to produce a new denotation (result) using the same reduction machine.