A Proof Theory for General Unification (Hardcover, 1991 ed.)

In this monograph we study two generalizations of standard unification, E-unification and higher-order unification, using an abstract approach orig inated by Herbrand and developed in the case of standard first-order unifi cation by Martelli and Montanari. The formalism presents the unification computation as a set of non-deterministic transformation rules for con verting a set of equations to be unified into an explicit representation of a unifier (if such exists). This provides an abstract and mathematically elegant means of analysing the properties of unification in various settings by providing a clean separation of the logical issues from the specification of procedural information, and amounts to a set of 'inference rules' for unification, hence the title of this book. We derive the set of transformations for general E-unification and higher order unification from an analysis of the sense in which terms are 'the same' after application of a unifying substitution. In both cases, this results in a simple extension of the set of basic transformations given by Herbrand Martelli-Montanari for standard unification, and shows clearly the basic relationships of the fundamental operations necessary in each case, and thus the underlying structure of the most important classes of term unifi cation problems."

General

Imprint:	Birkhauser Boston
Country of origin:	United States
Series:	Progress in Computer Science and Applied Logic, 11
Release date:	November 1991
First published:	1991
Authors:	W Snyder
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Hardcover
Pages:	178
Edition:	1991 ed.
ISBN-13:	978-0-8176-3593-0
Categories:	Books > Computing & IT > General theory of computing > Mathematical theory of computation
LSN:	0-8176-3593-9
Barcode:	9780817635930

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