From Finite Automata to Regular Expressions and Back--A Summary on Descriptional Complexity

Autor:	Gruber, Hermann, Holzer, Markus
Rok vydání:	2014
Předmět:	Computer Science - Formal Languages and Automata Theory Computer Science - Discrete Mathematics F.1.1 F.2.3 F.4.3
Zdroj:	EPTCS 151, 2014, pp. 25-48
Druh dokumentu:	Working Paper
DOI:	10.4204/EPTCS.151.2
Popis:	The equivalence of finite automata and regular expressions dates back to the seminal paper of Kleene on events in nerve nets and finite automata from 1956. In the present paper we tour a fragment of the literature and summarize results on upper and lower bounds on the conversion of finite automata to regular expressions and vice versa. We also briefly recall the known bounds for the removal of spontaneous transitions (epsilon-transitions) on non-epsilon-free nondeterministic devices. Moreover, we report on recent results on the average case descriptional complexity bounds for the conversion of regular expressions to finite automata and brand new developments on the state elimination algorithm that converts finite automata to regular expressions. Comment: In Proceedings AFL 2014, arXiv:1405.5272
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1405.5594 Zobrazit plný text záznamu View this record from Arxiv