Generalized effective completeness for continuous logic

Caleb Camrud

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arXiv · 2202.11151

Generalized effective completeness for continuous logic

Caleb Camrud

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Abstract

In this paper, we present a generalized effective completeness theorem for continuous logic. The primary result is that any continuous theory is satisfied in a structure which admits a presentation of the same Turing degree. It then follows that any decidable theory is satisfied by a computably presentable structure. This modifies and extends previous partial effective completeness theorems for continuous logic given by Calvert and Didehvar, Ghasemloo, and Pourmahdian.

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BibTeX RIS

Caleb Camrud. 2022-02-22. Generalized effective completeness for continuous logic. https://arxiv.org/abs/2202.11151

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