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Abstract
A language L is f-disjunctive if every class of its syntactic congruence is finite. The family of f-disjunctive languages is a natural generalization of the family of disjunctive languages and both families are anti-AFL. Every f-disjunctive language is dense and every class (≠ 1) of its syntactic congruence is an infix code. Five different classes of f-disjunctive languages are considered and it is shown that they form a strict hierarchy. Also some properties of the syntactic monoid of a f-disjunctive language are established, in particular its decomposition as a subdirect product of nil monoids.
C.R. Categories::
†This research has been supported by the Natural Science and Engineering Council of Canada, Grant No. A7877.
†This research has been supported by the Natural Science and Engineering Council of Canada, Grant No. A7877.
Notes
†This research has been supported by the Natural Science and Engineering Council of Canada, Grant No. A7877.