Title
On the Expressiveness of Real and Integer Arithmetic Automata (Extended Abstract)
Abstract
If read digit by digit, a n-dimensional vector of integers represented in base r can be viewed as a word over the alphabet r n . It has been known for some time that, under this encoding, the sets of integer vectors recognizable by finite automata are exactly those de nable in Presburger arithmetic if independence with respect to the base is required, and those de nable in a slight extension of Presburger arithmetic if only a specific base is considered. Using the same encoding idea, but moving ...
Year
Venue
Keywords
1998
ICALP
integer arithmetic automata,extended abstract,presburger arithmetic,finite automata
Field
DocType
ISBN
Discrete mathematics,Quantum finite automata,Automata theory,Integer arithmetic,Algebra,Arbitrary-precision arithmetic,Computer science,Automaton,Presburger arithmetic,Expressivity
Conference
3-540-64781-3
Citations 
PageRank 
References 
28
1.44
7
Authors
3
Name
Order
Citations
PageRank
Bernard Boigelot170748.59
Stéphane Rassart2512.82
Pierre Wolper34507673.68