Decidable Fragment of Theories in Field Arithmetic

Chun-Yu Lin

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arXiv · 1912.09155

Decidable Fragment of Theories in Field Arithmetic

Chun-Yu Lin

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Abstract

In this paper, we show that the $\exists^1 \forall^1$ theories of Hilbertian fields with charateristic 0 and perfect Hilbertian fields are both decidable. We also prove that the $\forall^1 \exists^1$ theories of Hilbertian fields with charateristic 0, Hilbertian fields, PAC fields with characteristic 0, and PAC fields are all decidable.

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BibTeX RIS

Chun-Yu Lin. 2019-12-19. Decidable Fragment of Theories in Field Arithmetic. https://arxiv.org/abs/1912.09155

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