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Titlebook: A Proof Theory for General Unification; Wayne Snyder Book 1991 Springer Science+Business Media New York 1991 algebra.logic.proof.proof the

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发表于 2025-3-21 18:09:10 | 显示全部楼层 |阅读模式
期刊全称A Proof Theory for General Unification
影响因子2023Wayne Snyder
视频video
学科分类Progress in Computer Science and Applied Logic
图书封面Titlebook: A Proof Theory for General Unification;  Wayne Snyder Book 1991 Springer Science+Business Media New York 1991 algebra.logic.proof.proof the
影响因子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 o
Pindex Book 1991
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Progress in Computer Science and Applied Logichttp://image.papertrans.cn/a/image/141960.jpg
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I. N. Ivchenko,S. K. Loyalka,R. V. TompsonIn the last chapter we presented a set of transformations . complete for arbitrary equational theories ., but which were prohibitively inefficient. In this chapter we present a restricted version of ., called ., which solves these problems, and prove its completeness.
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https://doi.org/10.1007/978-1-4612-0435-0algebra; logic; proof; proof theory
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978-1-4612-6758-4Springer Science+Business Media New York 1991
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I. N. Ivchenko,S. K. Loyalka,R. V. Tompsons Gaussian elimination. In Gaussian elimination, the original system of equations is transformed step by step (by variable elimination) into a solved system, that is, a system whose solution is obvious. Similarly, a unification problem is a set {. ≈ .,..., . ≈ .} of equations between terms (sometime
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The Non-Uniform State for a Simple Gas,ations on systems of equations provides a procedure for unification which either fails or terminates with an explicit representation of the mgu of the original system. The notion of standard unification is based on making two (first-order) terms syntactically identical, but in fact, we could general
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