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Pregrammars versus submonoids

Ostravsky J.

Fundamenta Informaticae

1998

Vol. 36, nr 4

337-343

Prelanguages and pregrammars introduced present a generalization of languages and pure grammars. Relation of domination and double domination may be easily transferred from languages to prelanguages. In the present paper submonoids of a commutative monoid are characterized by means of their relations of domination: subgroups of a commutative group are characterized by means of their relations of double domination. The submonoid generated by a subset of a commutative monoid is constructed using a suitable pregrammar.