NDLI: A fully abstract semantics for concurrent graph reduction

Content Provider	IEEE Xplore Digital Library
Author	Jeffrey, A.
Copyright Year	1994
Description	Author affiliation: Sch. of Cognitive & Comput. Sci., Sussex Univ., Brighton, UK (Jeffrey, A.)
Abstract	This paper presents a fully abstract semantics for a variant of the untyped /spl lambda/-calculus with recursive [Bdeclarations. We first present a summary of existing work on full abstraction for the untyped /spl lambda/-calculus, concentrating on S. Abramsky (1989) and C.H.L. Ong (1988) work on the lazy /spl lambda/-calculus. Abramsky and Ong's work is based on leftmost outermost reduction without sharing. This is notably inefficient, and many implementations model share by reducing syntax graphs rather than syntax trees. Here we present a concurrent graph reduction algorithm for the /spl lambda/-calculus with recursive declarations, in a style similar to G. Berry and G. Boudol's chemical abstract machine. We adapt Abramsky and Ong's techniques, and present a program logic and denotational semantics for the /spl lambda/-calculus with recursive declarations, and show that the three semantics are equivalent.
Starting Page	82
Ending Page	91
File Size	712250
Page Count	10
File Format	PDF
ISBN	0818663103
DOI	10.1109/LICS.1994.316084
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-07-04
Publisher Place	France
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Testing Tree graphs Functional programming Computer languages Chemicals Logic Computer science Trademarks Convergence
Content Type	Text
Resource Type	Article

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