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RESEARCH PRODUCT

A decidable word problem without equivalent canonical term rewriting system

J. L. DeleageJean Marcel Pallo

subject

Discrete mathematicsApplied MathematicsPost canonical systemComputer Science ApplicationsDecidabilityPhilosophy of languageComputational Theory and MathematicsConfluenceComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONWord problem (mathematics)RewritingEquivalence (formal languages)Computer Science::Formal Languages and Automata TheoryAssociative propertyMathematics

description

We present a weak associative single-axiom system having the following property: the word problem is decidable with an efficient algorithm even though there does not exist any finite equivalent canonical term rewriting system.

https://doi.org/10.1080/00207168908803729