Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Arities and Aritizabilities of First-Order Theories

Version 1 : Received: 22 December 2021 / Approved: 23 December 2021 / Online: 23 December 2021 (12:07:21 CET)

How to cite: Sudoplatov, S.V. Arities and Aritizabilities of First-Order Theories. Preprints 2021, 2021120392 (doi: 10.20944/preprints202112.0392.v1). Sudoplatov, S.V. Arities and Aritizabilities of First-Order Theories. Preprints 2021, 2021120392 (doi: 10.20944/preprints202112.0392.v1).

Abstract

We study and describe possibilities for arities of elementary theories and of their expansions. Links for arities with respect to Boolean algebras, to disjoint unions and to compositions of structures are shown. Arities and aritizabilities are semantically characterized. The dynamics for arities of theories is described.

Keywords

elementary theory; arity; expansion; aritizability

Subject

MATHEMATICS & COMPUTER SCIENCE, Logic

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