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20202025
most citedThe maximum length of shortest accepted strings for direction-determinate two-way finite automata

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

cs.FL2025

From regular expressions to deterministic finite automata: states are necessary and sufficient

Olga Martynova, Alexander Okhotin

It is proved that every regular expression of alphabetic width , that is, with occurrences of symbols of the alphabet, can be transformed into a deterministic finite automat…

cs.FL2024

Nondeterministic tree-walking automata are not closed under complementation

Olga Martynova, Alexander Okhotin

It is proved that the family of tree languages recognized by nondeterministic tree-walking automata is not closed under complementation, solving a problem raised by Bojańczyk and C…

cs.FL2022

Complexity of the emptiness problem for graph-walking automata and for tilings with star subgraphs

Olga Martynova

This paper proves the decidability of the emptiness problem for two models which recognize graphs: graph-walking automata, and tilings of graphs by star subgraphs (star automata).…

cs.FL2022

Non-closure under complementation for unambiguous linear grammars

Olga Martynova, Alexander Okhotin

The paper demonstrates the non-closure of the family of unambiguous linear languages (that is, those defined by unambiguous linear context-free grammars) under complementation. To…

cs.FL2022★ 1 cited

The maximum length of shortest accepted strings for direction-determinate two-way finite automata

Olga Martynova, Alexander Okhotin

It is shown that, for every , the maximum length of the shortest string accepted by an -state direction-determinate two-way finite automaton is exactly $\binom{n}…

cs.FL2021

Homomorphisms on graph-walking automata

Olga Martynova, Alexander Okhotin

Graph-walking automata (GWA) are a model for graph traversal using finite-state control: these automata move between the nodes of an input graph, following its edges. This paper in…

cs.FL2020

State complexity of halting, returning and reversible graph-walking automata

Olga Martynova, Alexander Okhotin

Graph-walking automata (GWA) traverse graphs by moving between the nodes following the edges, using a finite-state control to decide where to go next. It is known that every GWA ca…