On the complexity of theories of permutations (Q1088647)

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scientific article; zbMATH DE number 3991472
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On the complexity of theories of permutations
scientific article; zbMATH DE number 3991472

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    On the complexity of theories of permutations (English)
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    1985
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    The first-order theory T of two permutations which commute is investigated and its decidability is proved. Moreover, we show that the computational complexity of the decision algorithm for SAT(T) - on NTM's and ATM's - is the same (for upper and lower bounds) as that of the theory of one permutation.
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    two commuting permutations
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    first-order theory
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    computational complexity
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    decision algorithm
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