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#### Complexity of Right-Ideal, Prefix-Closed, and Prefix-Free Regular Languages

(Institute of Informatics: University of Szeged, 2017)

A language L over an alphabet E is prefix-convex if, for any words x, y, z is an element of Sigma*, whenever x and xyz are in L, then so is xy. Prefix-convex languages include right-ideal, prefix-closed, and prefix-free ...

#### Large Aperiodic Semigroups

(World Scientific Publishing, 2015-11-01)

We search for the largest syntactic semigroups of star-free languages having n left quotients; equivalently, we look for the largest transition semigroups of aperiodic finite automata with n states. We first introduce ...

#### In Search Of Most Complex Regular Languages

(World Scientific Publishing, 2013-09-01)

Sequences (L-n vertical bar n >= k), called streams, of regular languages L-n are considered, where k is some small positive integer, n is the state complexity of L-n, and the languages in a stream differ only in the ...

#### Complexity Of Atoms Of Regular Languages

(World Scientific Publishing, 2013-11-01)

The quotient complexity of a regular language L, which is the same as its state complexity the number of left quotients of L. An atom of a non-empty regular language L with n quotients is a non-empty intersection of the n ...

#### 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 ...

#### 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 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, ...

#### On The Complexity Of The Evaluation Of Transient Extensions Of Boolean Functions

(World Scientific Publishing, 2012-01-01)

Transient algebra is a multi-valued algebra for hazard detection in gate circuits. Sequences of alternating 0's and 1's, called transients, represent signal values, and gates are modeled by extensions of boolean functions ...

#### 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 ...

#### Syntactic Complexity Of R- And J-Trivial Regular Languages

(World Scientific Publishing, 2014-11-01)

The syntactic complexity of a subclass of the class of regular languages is the maximal cardinality of syntactic semigroups of languages in that class, taken as a function of the state complexity n of these languages. We ...