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20092026
most citedOn the State Complexity of the Shuffle of Regular Languages

19 citations · 55 across the 13 of their papers we have counts for

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cs.FL2026

Proceedings 17th International Conference on Automata and Formal Languages

Michal Hospodár, Galina Jirásková, Viktor Olejár +2

The 17th International Conference on Automata and Formal Languages (AFL 2026) was held in Košice, September 7-10, 2026. It was organized by the Faculty of Science, P. J. Šafárik Un…

cs.FL2025

State Complexity of Multiple Concatenation

Jozef Jirásek, Galina Jirásková

We describe witness languages meeting the upper bound on the state complexity of the multiple concatenation of regular languages over an alphabet of size with a significa…

cs.FL2023

Operations on Boolean and Alternating Finite Automata

Galina Jirásková

We examine the complexity of basic regular operations on languages represented by Boolean and alternating finite automata. We get tight upper bounds m+n and m+n+1 for union, inters…

cs.FL2015★ 19 cited

On the State Complexity of the Shuffle of Regular Languages

Janusz Brzozowski, Galina Jirásková, Bo Liu +2

We investigate the shuffle operation on regular languages represented by complete deterministic finite automata. We prove that $f(m,n)=2^{mn-1} + 2^{(m-1)(n-1)}(2^{m-1}-1)(2^{n-1}-…

cs.FL2014★ 7 cited

Operations on Automata with All States Final

Kristína Čevorová, Galina Jirásková, Peter Mlynárčik +2

We study the complexity of basic regular operations on languages represented by incomplete deterministic or nondeterministic automata, in which all states are final. Such languages…

cs.FL2014

On Upper and Lower Bounds on the Length of Alternating Towers

Štěpán Holub, Galina Jirásková, Tomáš Masopust

A tower between two regular languages is a sequence of strings such that all strings on odd positions belong to one of the languages, all strings on even positions belong to the ot…

cs.FL2013★ 2 cited

On the State Complexity of the Reverse of R- and J-trivial Regular Languages

Galina Jirásková, Tomáš Masopust

The tight upper bound on the state complexity of the reverse of R-trivial and J-trivial regular languages of the state complexity n is 2^{n-1}. The witness is ternary for R-trivial…

cs.FL2012

The state complexity of star-complement-star

Galina Jiraskova, Jeffrey Shallit

We resolve an open question by determining matching (asymptotic) upper and lower bounds on the state complexity of the operation that sends a language L to (c(L*))*, where c() deno…

cs.FL2010★ 11 cited

Complexity in Prefix-Free Regular Languages

Galina Jirásková, Monika Krausová

We examine deterministic and nondeterministic state complexities of regular operations on prefix-free languages. We strengthen several results by providing witness languages over s…

cs.FL2010★ 1 cited

Quotient Complexity of Bifix-, Factor-, and Subword-Free Regular Languages

Janusz Brzozowski, Galina Jirásková, Baiyu Li +1

A language L is prefix-free if, whenever words u and v are in L and u is a prefix of v, then u=v. Suffix-, factor-, and subword-free languages are defined similarly, where "subword…

cs.FL2009★ 13 cited

Quotient Complexity of Closed Languages

J. Brzozowski, G. Jirásková, C. Zou

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 the same way, where by…

cs.FL2009

Quotient complexity of ideal languages

J. Brzozowski, G. Jirásková, B. Li

We study the state complexity of regular operations in the class of ideal languages. A language L over an alphabet Sigma is a right (left) ideal if it satisfies L = L Sigma* (L = S…

cs.FL2009★ 2 cited

Nondeterministic State Complexity of Positional Addition

Galina Jirásková, Alexander Okhotin

Consider nondeterministic finite automata recognizing base-k positional notation of numbers. Assume that numbers are read starting from their least significant digits. It is proved…