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Probability Measures in the Logic of Nilpotent Minimum
Studia Logica 94 (2):151-176 (2010)
Abstract
We axiomatize the notion of state over finitely generated free NM-algebras, the Lindenbaum algebras of pure Nilpotent Minimum logic. We show that states over the free n -generated NM-algebra exactly correspond to integrals of elements of with respect to Borel probability measures.Other Versions
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Citations of this work
First-order Nilpotent minimum logics: first steps.Matteo Bianchi - 2013 - Archive for Mathematical Logic 52 (3-4):295-316.
Generalized Bosbach and Riečan states on nucleus-based-Glivenko residuated lattices.Bin Zhao & Hongjun Zhou - 2013 - Archive for Mathematical Logic 52 (7-8):689-706.
References found in this work
Averaging the truth-value in łukasiewicz logic.Daniele Mundici - 1995 - Studia Logica 55 (1):113 - 127.
On the structure of rotation-invariant semigroups.Sándor Jenei - 2003 - Archive for Mathematical Logic 42 (5):489-514.
Computing coproducts of finitely presented Gödel algebras.Ottavio M. D’Antona & Vincenzo Marra - 2006 - Annals of Pure and Applied Logic 142 (1):202-211.
Free nilpotent minimum algebras.Manuela Busaniche - 2006 - Mathematical Logic Quarterly 52 (3):219-236.
De Finetti’s No-Dutch-Book Criterion for Gödel logic.Stefano Aguzzoli, Brunella Gerla & Vincenzo Marra - 2008 - Studia Logica 90 (1):25-41.
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