Paper Info
Title
On the Accepting State Complexity of Operations on Permutation Automata.
Abstract
We investigate the accepting state complexity of deterministic finite automata for regular languages obtained by applying one of the following operations to languages accepted by permutation automata: union, quotient, complement, difference, intersection, Kleene star, Kleene plus, and reversal. The paper thus joins the study of accepting state complexity of regularity preserving language operations which was initiated by the work [J. Dassow: On the number of accepting states of finite automata, J. Autom., Lang. Comb., 21, 2016]. We show that for almost all of the operations, except for reversal and quotient, there is no difference in the accepting state complexity for permutation automata compared to deterministic finite automata in general. For both reversal and quotient we prove that certain accepting state complexities cannot be obtained; these number are called "magic" in the literature. Moreover, we solve the left open accepting state complexity problem for the intersection of unary languages accepted by permutation automata and deterministic finite automata in general.
Year
DOI
Venue
2022
10.4204/EPTCS.367.12
Workshop on Non-Classical Models for Automata and Applications (NCMA)
DocType
ISSN
Citations 
Conference
EPTCS 367, 2022, pp. 177-189
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Christian Rauch112.39
Markus Holzer219321.51