Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/9900
Title: Regular Expressions with Counting: Weak versus Strong Determinism
Authors: GELADE, Wouter 
GYSSENS, Marc 
MARTENS, Wim 
Issue Date: 2009
Publisher: SPRINGER-VERLAG BERLIN
Source: Kralovic, R; Niwinski, D (Ed.) MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE 2009. p. 369-381.
Series/Report: Lecture Notes in Computer Science
Series/Report no.: 5734
Abstract: We study deterministic regular expressions extended with the counting operator. There exist two notions of determinism, strong and weak determinism, which almost coincide for standard regular expressions. This, however, changes dramatically in the presence of counting. In particular, we show that weakly deterministic expressions with counting are exponentially more succinct and strictly more expressive than strongly deterministic ones, even though they still do not capture all regular languages. In addition, we present a finite automaton model with counters, study its properties and investigate the natural extension of the Glushkov construction translating expressions with counting into such counting automata. This translation yields a deterministic automation if and only if the expression is strongly deterministic. These results then also allow to derive upper bounds for decision problems for strongly deterministic expressions with counting.
Notes: [Gelade, Wouter; Gyssens, Marc] Hasselt Univ, Hasselt, Belgium.
Document URI: http://hdl.handle.net/1942/9900
ISBN: 978-3-642-03815-0
ISI #: 000269937800029
Category: C1
Type: Proceedings Paper
Validations: ecoom 2010
Appears in Collections:Research publications

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