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  A Note on the Logical Definability of Rational Trace Languages
 
 
Title: A Note on the Logical Definability of Rational Trace Languages
Author: Choffrut, Christian
Appeared in: Fundamenta informaticae
Paging: Volume 116 (2012) nr. 1-4 pages 45-50
Year: 2012-05-16
Contents: The regular languages in the free monoid generated by a finite alphabet A are exactly the languages that are the models of some sentence of the second-order monadic logic of one successor and a unary predicate for each letter. For trace monoids the natural extension obtained by adapting the successor to the partial order underlying the traces is insufficient to capture the family of their rational subsets. We show that these subsets can be expressed by formulas of the form ∃Γφ where φ is a first-order formula over the structure of traces and Γ is an n-ary predicate semantically restricted, where n is the cardinality of the alphabet.
Publisher: IOS Press
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 3 of 22 found articles
 
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