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Communication Dans Un Congrès Année : 2018

Regular entailment relations

Résumé

Inspired by the work of Lorenzen on the theory of preordered groups in the fifties, we define regular entailment relations and show a crucial theorem for this structure. We also describe equivariant systems of ideals à la Lorenzen and show that the remarkable regularisation process invented by him yields a regular entailment relation. By providing constructive objects and arguments, we pursue Lorenzen's aim of "bringing to light the basic, pure concepts in their simple and transparent clarity".
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Dates et versions

hal-02418320 , version 1 (18-12-2019)
hal-02418320 , version 2 (08-07-2020)

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Thierry Coquand, Henri Lombardi, Stefan Neuwirth. Regular entailment relations. Paul Lorenzen: Mathematician and Logician, Philosophisches Archiv der Universität Konstanz, Mar 2018, Konstanz, Germany. ⟨hal-02418320v1⟩
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