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The \(\exists^*\forall^*\) part of the theory of ground term algebra modulo an AC symbol is undecidable. - MaRDI portal

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The \(\exists^*\forall^*\) part of the theory of ground term algebra modulo an AC symbol is undecidable. (Q1400708)

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scientific article; zbMATH DE number 1964172
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English
The \(\exists^*\forall^*\) part of the theory of ground term algebra modulo an AC symbol is undecidable.
scientific article; zbMATH DE number 1964172

    Statements

    The \(\exists^*\forall^*\) part of the theory of ground term algebra modulo an AC symbol is undecidable. (English)
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    2002
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    We show that the \(\exists^*\forall^*\) part of the equational theory modulo an AC symbol is undecidable. This solves the open problem 25 from the RTA list. We show that this result holds also for the equational theory modulo an ACI symbol.
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    unification
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    decidability
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