Termination for direct sums of left-linear complete term rewriting systems:

Abstract: "A Term Rewriting System is called complete if it is confluent and terminating. We prove that completeness of TRSs is a 'modular' property (meaning that it stays preserved under direct sums), provided the constituent TRSs are left-linear. Here the direct sum [formula] is the...

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Bibliographic Details
Main Authors: Toyama, Yoshihito (Author), Klop, Jan Willem 1945- (Author), Barendregt, Hendrik P. 1947- (Author)
Format: Book
Language:English
Published: Amsterdam 1989
Series:Centrum voor Wiskunde en Informatica <Amsterdam> / Department of Computer Science: Report CS 89,23
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Summary:Abstract: "A Term Rewriting System is called complete if it is confluent and terminating. We prove that completeness of TRSs is a 'modular' property (meaning that it stays preserved under direct sums), provided the constituent TRSs are left-linear. Here the direct sum [formula] is the union of TRSs R[subscript 0], R[subscript 1] with disjoint signature. The proof hinges crucially upon the (non)deterministic collapsing behaviour of terms from the sum TRS."
Physical Description:31 S.

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