Weighted first-order logics over semirings

Mandrali, Eleni and Rahonis, George: Weighted first-order logics over semirings. In: Acta cybernetica, (22) 2. pp. 435-483. (2015)

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We consider a first-order logic, a linear temporal logic, star-free expressions and counter-free Büchi automata, with weights, over idempotent, zerodivisor free and totally commutative complete semirings. We show the expressive equivalence (of fragments) of these concepts, generalizing in the quantitative setup, the corresponding folklore result of formal language theory.

Item Type: Article
Journal or Publication Title: Acta cybernetica
Date: 2015
Volume: 22
Number: 2
ISSN: 0324-721X
Page Range: pp. 435-483
Language: angol
DOI: https://doi.org/10.14232/actacyb.22.2.2015.13
Uncontrolled Keywords: Algebrai logika
Additional Information: Bibliogr.: p. 482-483.
Date Deposited: 2016. Oct. 17. 10:36
Last Modified: 2018. Jun. 06. 18:52
URI: http://acta.bibl.u-szeged.hu/id/eprint/36104

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