The problems of cyclic equality and conjugacy for finite complete rewriting systems (Q1089798)

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scientific article; zbMATH DE number 4005605
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The problems of cyclic equality and conjugacy for finite complete rewriting systems
scientific article; zbMATH DE number 4005605

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    The problems of cyclic equality and conjugacy for finite complete rewriting systems (English)
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    1986
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    It is known that the left-conjugacy problem and the conjugacy problem are decidable for each finite, length-reducing, and complete rewriting system. This does not hold for the problem of cyclic equality as is shown here by presenting a finite, length-reducing, and complete rewriting system with an undecidable problem of cyclic equality. Further, a finite complete rewriting system T is constructed such that the left-conjugacy problem and the conjugacy problem are undecidable for T.
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    left-conjugacy problem
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    cyclic equality
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    finite complete rewriting system
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