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Conference Papers Year : 2020

Algebraically Closed Fields in Isabelle/HOL

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Abstract

A fundamental theorem states that every field admits an algebraically closed extension. Despite its central importance, this theorem has never before been formalised in a proof assistant. We fill this gap by documenting its formalisation in Isabelle/HOL, describing the difficulties that impeded this development and their solutions.
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Dates and versions

hal-03083589 , version 1 (21-12-2020)

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Paulo Emílio de Vilhena, Lawrence C. Paulson. Algebraically Closed Fields in Isabelle/HOL. IJCAR 2020 - International Joint Conference on Automated Reasoning, Jul 2020, Paris, France. pp.204-220, ⟨10.1007/978-3-030-51054-1_12⟩. ⟨hal-03083589⟩
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