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On regular trace languages - MaRDI portal

On regular trace languages (Q1097040)

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scientific article; zbMATH DE number 4033115
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English
On regular trace languages
scientific article; zbMATH DE number 4033115

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    On regular trace languages (English)
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    1987
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    Let A be a finite alphabet and let r be a symmetrical relation on A. Let us consider the free partially commutative monoid M(A,r) generated by A with respect to r (i.e., the quotient of A * by the congruence relation generated by (ab,ba) for all (a,b) in r). It is proved that the free partially commutative monoids M(A,r) whose regular sets form a Boolean algebra or are all unambiguous are the free products of free commutative monoids.
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    generalized automata on free products of monoids
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    trace language
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    commutative monoid
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