Browsing Waterloo Research by Subject "quotient"
Now showing items 1-4 of 4
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Most Complex Regular Ideal Languages
(Discrete Mathematics and Theoretical Computer Science, 2016-10-17)A right ideal (left ideal, two-sided ideal) is a non-empty language $L$ over an alphabet $\Sigma$ such that $L=L\Sigma^*$ ($L=\Sigma^*L$, $L=\Sigma^*L\Sigma^*$). Let $k=3$ for right ideals, 4 for left ideals and 5 for ... -
Most Complex Regular Right-Ideal Languages
(Springer, 2014)A right ideal is a language L over an alphabet Sigma that satisfies the equation L = L Sigma*. We show that there exists a sequence (Rn vertical bar n >= 3) of regular right-ideal languages, where R-n has n left quotients ... -
Quotient Complexities of Atoms in Regular Ideal Languages
(Institute of Informatics: University of Szeged, 2015)A (left) quotient of a language L by a word w is the language w(-1) L = {x vertical bar wx is an element of L}. The quotient complexity of a regular language L is the number of quotients of L; it is equal to the state ... -
Quotient Complexity Of Star-Free Languages
(World Scientific Publishing, 2012-09-01)The quotient complexity, also known as state complexity, of a regular language is the number of distinct left quotients of the language. The quotient complexity of an operation is the maximal quotient complexity of the ...