Complexity of Left-Ideal, Suffix-Closed and Suffix-Free Regular Languages
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A language L over an alphabet Σ is suffix-convex if, for any words x,y,z∈Σ∗, whenever z and xyz are in L, then so is yz. Suffix-convex languages include three special cases: left-ideal, suffix-closed, and suffix-free languages. We examine complexity properties of these three special classes of suffix-convex regular languages. In particular, we study the quotient/state complexity of boolean operations, product (concatenation), star, and reversal on these languages, as well as the size of their syntactic semigroups, and the quotient complexity of their atoms.
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Janusz Brzozowski, Corwin Sinnamon (2017). Complexity of Left-Ideal, Suffix-Closed and Suffix-Free Regular Languages. UWSpace. http://hdl.handle.net/10012/13159
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Brzozowski, Janusz; Li, Baiyu; Ye, Yuli (Elsevier, 2012-08-31)The syntactic complexity of a regular language is the cardinality of its syntactic semigroup. The syntactic complexity of a subclass of the class of regular languages is the maximal syntactic complexity of languages in ...
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