On Presburger arithmetic extended with non-unary counting quantifiers

We consider a first-order logic for the integers with addition. This logic extends classical first-order logic by modulo-counting, threshold-counting and exact-counting quantifiers, all applied to tuples of variables (here, residues are given as terms while moduli and thresholds are given explicitly...

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Hlavní autoři: Peter Habermehl, Dietrich Kuske
Médium: Článek
Jazyk:English
Vydáno: Logical Methods in Computer Science e.V. 2023-07-01
Edice:Logical Methods in Computer Science
Témata:
On-line přístup:https://lmcs.episciences.org/9329/pdf