Algebraic structures from quantum and fuzzy logics

BONZIO, STEFANO
2016-03-18

Abstract

This thesis concerns the wide research area of logic. In particular, the first part is devoted to analyze different kinds of relational systems (orthogonal and residuated), by investigating the properties of the algebras associated to them. The second part is focused on algebras of logic, in particular, the relationship between prominent quantum and fuzzy structures with certain semirings is proved. The last chapter concerns an application of group theory to some well known mathematical puzzles.
18-Mar-2016
Inglese
28
Storia, filosofia e didattica delle scienze
Settore M-FIL/02 - Logica e Filosofia della Scienza
Settore MAT/01 - Logica Matematica
algebras of logic
algebre della logica
logiche non classiche
logiche quantisitche
non classical logics
quantum logics
Università degli Studi di Cagliari
open
info:eu-repo/semantics/doctoralThesis
-2
8 Tesi di Dottorato::8.2 Tesi di dottorato (ePrints)
Doctoral Thesis
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