Browsing Waterloo Research by Subject "Transition semigroup"
Now showing items 1-5 of 5
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Complexity of Left-Ideal, Suffix-Closed and Suffix-Free Regular Languages
(Springer, 2017-03-06)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 ... -
Complexity of Suffix-Free Regular Languages
(Elsevier, 2017-11-01)We study various complexity properties of suffix-free regular languages. A sequence (Lk,Lk+1,…) of regular languages in some class, where n is the quotient complexity of Ln, is most complex if its languages Ln meet the ... -
Most Complex Non-returning Regular Languages
(Springer, 2017-07-03)A regular language L is non-returning if in the minimal deterministic finite automaton accepting it there are no transitions into the initial state. Eom, Han and Jirásková derived upper bounds on the state complexity of ... -
Syntactic Complexity of Regular Ideals
(Springer, 2017-08-04)The state complexity of a regular language is the number of states in a minimal deterministic finite automaton accepting the language. The syntactic complexity of a regular language is the cardinality of its syntactic ... -
Syntactic Complexity of Suffix-Free Languages
(Elsevier, 2017-09-05)We solve an open problem concerning syntactic complexity: We prove that the cardinality of the syntactic semigroup of a suffix-free language with n left quotients (that is, with state complexity n) is at most (n−1)n−2+n−2 ...