Browsing Waterloo Research by Subject "State complexity"
Now showing items 1-6 of 6
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Complexity of Proper Prefix-Convex Regular Languages
(Springer, 2017-06-27)A language L over an alphabet Σ is prefix-convex if, for any words x,y,z∈Σ∗, whenever x and xyz are in L, then so is xy. Prefix-convex languages include right-ideal, prefix-closed, and prefix-free languages, which were ... -
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 ... -
Quotient Complexity Of Closed Languages
(Springer, 2014-02-01)A language L is prefix-closed if, whenever a word w is in L, then every prefix of w is also in L. We define suffix-, factor-, and subword-closed languages in an analogous way, where by factor we mean contiguous subsequence, ... -
Quotient Complexity of Ideal Languages
(Elsevier, 2013-01-28)A language L over an alphabet Σ is a right (left) ideal if it satisfies L=LΣ∗ (L=Σ∗L). It is a two-sided ideal if L=Σ∗LΣ∗, and an all-sided ideal if L=Σ∗L, the shuffle of Σ∗ with L. Ideal languages are not only of interest ... -
Unrestricted State Complexity Of Binary Operations On Regular And Ideal Languages
(Institut für Informatik, 2017-08-27)We study the state complexity of binary operations on regular languages over different alphabets. It is known that if L′m and Ln are languages of state complexities m and n, respectively, and restricted to the same alphabet, ...