Conditional Narrowing Modulo a Set of Equations

Bockmayr, Alexander

doi:10.1007%2FBF01202035

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Conditional Narrowing Modulo a Set of Equations

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Bockmayr, Alexander
Programming Logics, MPI for Informatics, Max Planck Society;

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Citation

Bockmayr, A. (1993). Conditional Narrowing Modulo a Set of Equations. Applicable Algebra in Engineering, Communication and Computing, 4(3), 147-168. doi:10.1007%2FBF01202035.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0023-C736-A

Abstract

Narrowing is a universal unification procedure for equational theories given by a canonical term rewrite system. In this paper we introduce conditional narrowing modulo a set of conditional equations and give a full proof of its correctness and completeness for equational conditional rewrite systems R,E without extravariables where E is regular and R,E is Church‐Rosser modulo E and decrasing modulo E. This result can be seen as the theoretical foundation of a special form of constraint logic and functional programming.