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Now showing items 11-20 of 23

#### 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, ...

#### 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 ...

#### Theory Of Atomata

(Elsevier, 2014-06-19)

We show that every regular language defines a unique nondeterministic finite automaton (NFA), which we call "atomaton", whose states are the "atoms" of the language, that is, non-empty intersections of complemented or ...

#### 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 ...

#### Syntactic Complexities of Some Classes of Star-Free Languages

(Springer, 2012)

The syntactic complexity of a regular language is the cardinality of its syntactic semigroup. The syntactic complexity of a subclass of regular languages is the maximal syntactic complexity of languages in that subclass, ...

#### 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 ...

#### 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 ...