Ground term confluence in parametric conditional equational specifications
Identifieur interne : 00E614 ( Main/Exploration ); précédent : 00E613; suivant : 00E615Ground term confluence in parametric conditional equational specifications
Auteurs : Harald Ganzinger [Allemagne]Source :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: We consider the problem of Knuth-Bendix-like completion for specifications with conditional equations for the particular case of achieving ground confluence. Inductive theorems of the given specification will be used for proving the convergence of critical pairs. The theorems may have the form of arbitrary first-order formulas, allowing for expressing properties of the theory that could otherwise not be specified equationally. A completion procedure will be given and demonstrated to be useful on examples which previous approaches fail to handle. Finally, an application of these ideas to parameterized specifications will be indicated.
Url:
DOI: 10.1007/BFb0039613
Affiliations:
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<front><div type="abstract" xml:lang="en">Abstract: We consider the problem of Knuth-Bendix-like completion for specifications with conditional equations for the particular case of achieving ground confluence. Inductive theorems of the given specification will be used for proving the convergence of critical pairs. The theorems may have the form of arbitrary first-order formulas, allowing for expressing properties of the theory that could otherwise not be specified equationally. A completion procedure will be given and demonstrated to be useful on examples which previous approaches fail to handle. Finally, an application of these ideas to parameterized specifications will be indicated.</div>
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