Regular Entailment Relations
Book chapter, 2021
Inspired by the work of Lorenzen on the theory of preordered groups in the forties and 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 he invented 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”.
Author
Thierry Coquand
Logic and Types
University of Gothenburg
Henri Lombardi
Laboratoire de Mathématiques de Besançon (LmB)
Stefan Neuwirth
Laboratoire de Mathématiques de Besançon (LmB)
Paul Lorenzen - Mathematician and Logician
103-114
978-3-030-65823-6 (ISBN)
Subject Categories (SSIF 2025)
Theoretical Chemistry
Geometry
Mathematical Analysis
Algebra and Logic
Other Physics Topics
DOI
10.1007/978-3-030-65824-3_7