Weighted recognizability over infinite alphabets

We introduce weighted variable automata over infinite alphabets and commutative semirings. We prove that the class of their behaviors is closed under sum, and under scalar, Hadamard, Cauchy, and shuffle products, as well as star operation. Furthermore, we consider rational series over infinite alpha...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerzők: Pittou Maria
Rahonis George
Dokumentumtípus: Cikk
Megjelent: 2017
Sorozat:Acta cybernetica 23 No. 1
Kulcsszavak:Automaták elmélete - véges, Algebra, Véges automaták, Matematikai logika, Matematikai nyelvészet - számítógépes nyelvészet
Tárgyszavak:
doi:10.14232/actacyb.23.1.2017.16

Online Access:http://acta.bibl.u-szeged.hu/50074
Leíró adatok
Tartalmi kivonat:We introduce weighted variable automata over infinite alphabets and commutative semirings. We prove that the class of their behaviors is closed under sum, and under scalar, Hadamard, Cauchy, and shuffle products, as well as star operation. Furthermore, we consider rational series over infinite alphabets and we state a Kleene-Schützenberger theorem. We introduce a weighted monadic second order logic and a weighted linear dynamic logic over infinite alphabets and investigate their relation to weighted variable automata. An application of our theory, to series over the Boolean semiring, concludes to new results for the class of languages accepted by variable automata.
Terjedelem/Fizikai jellemzők:283-317
ISSN:0324-721X