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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2025 Number 8, Pages 3–16 (Mi ivm10108)

Finite logical specifications of effectively separable data models

N. R. Karimova, N. Kh. Kasymov, S. K. Zhavliev

National University of Uzbekistan, 4 University str., Tashkent, 100174 Republic of Uzbekistan

Abstract: Data models with effectively separable algorithmic representations are considered. It is established that any such model has an enrichment, which is the unique model constructed from constants for a suitable proposal of first-order logic.

Keywords: effectively separable numbering, many-sorted algebra, finite specification.

UDC: 510.51: 510.62: 512.57: 519.681

Received: 06.05.2024
Revised: 06.05.2024
Accepted: 26.09.2024

DOI: 10.26907/0021-3446-2025-8-3-16



© Steklov Math. Inst. of RAS, 2026