𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Universal Classes of MV-chains with Applications to Many-valued Logics

✍ Scribed by Joan Gispert


Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
304 KB
Volume
48
Category
Article
ISSN
0044-3050

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper we characterize, classify and axiomatize all universal classes of MV-chains. Moreover, we accomplish analogous characterization, classification and axiomatization for congruence distributive quasivarieties of MV-algebras. Finally, we apply those results to study some finitary extensions of the Lukasiewicz infinite valued propositional calculus.


📜 SIMILAR VOLUMES


Ultraproducts of Z with an Application t
✍ Joan Gispert i Brasó; Daniele Mundici; Antoni Torrens Torrell 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 140 KB

Up to categorical equivalence, abelian lattice-ordered groups with strong unit coincide with Chang's MV-algebrasᎏthe Lindenbaum algebras of the infinite-valued Łukasiewicz calculus. While the property of being a strong unit is not definable even in first-order logic, MV-algebras form an equational c

An Application of Logic to Combinatorial
✍ Vladik Kreinovich; Olga Kosheleva 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 231 KB 👁 1 views

## Abstract It is known (see Rapp [9]) that elementary geometry with the additional quantifier “there exist uncountably many” is decidable. We show that this decidability helps in solving the following problem from combinatorial geometry: does there exist an uncountable family of pairwise non‐congr