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ALGEBRAIC THEORIES WITH DEFINABLE SKOLEM FUNCTIONS. LOU VAN DEN DRIES. (1.1) A well-known example of a theory with built-in Skolem functions is (first- order) ...
(1.1) A well-known example of a theory with built-in Skolem functions is (first-order) Peano arithmetic (or rather a certain definitional extension of it).
(1.1) A well-known example of a theory with built-in Skolem functions is (first- order) Peano arithmetic (or rather a certain definitional extension of it).
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By using a criterion due to van den Dries [16], we show that the first-order theory of p-adically closed integral rings has definable Skolem functions in a ...
Nov 21, 2019 · Having Built-in Skolem functions is enough to prove the equisatisfiability of a first-order formula and its Skolem Normal Form (SNF).
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In this paper we work in an arbitrary o-minimal structure with definable Skolem functions and prove that definably connected, locally definable manifolds ...
We exhibit this distinction by considering the question of whether the resulting theory has definable Skolem functions or definable choice. Definition 1.1. A ...
VAN DEN DRIES, Algebraic theories with definable Skolem functions, this JOURNAL, vol.49 (1984), pp. 625-629. [4] D. HILBERT and P. BERNAYS, Grundlagen der ...
(a) If A has built-in Skolem functions, then these Skolem functions are definable by atomic formulae. (b) There is an expansion L∗ of the language L and an ...
Aug 4, 2022 · Abstract. Skolem functions play a central role in the study of first order logic, both from theoretical and practical perspectives.