AN APPLICATION OF THE FEFERMAN-VAUGHT THEOREM TO AUTOMATA AND LOGICS FOR WORDS OVER AN INFINITE ALPHABET

被引：8
|
作者：
Bes, Alexis [1 ]
机构：
[1] Univ Paris Est, Lab Algorithm Complex & Log, EA 4213, Paris, France
来源：
LOGICAL METHODS IN COMPUTER SCIENCE | 2008年 / 4卷 / 01期
关键词：
Feferman-Vaught method; composition theorems; decidability; automata; infinite alphabet;
D O I：
10.2168/LMCS-4(1:8)2008
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We show that a special case of the Feferman-Vaught composition theorem gives rise to a natural notion of automata for finite words over an infinite alphabet, with good closure and decidability properties, as well as several logical characterizations. We also consider a slight extension of the Feferman-Vaught formalism which allows to express more relations between component values (such as equality), and prove related decidability results. From this result we get new classes of decidable logics for words over an infinite alphabet.
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