Multi-algebras from the viewpoint of algebraic logic

• Published in: Algebra and Discrete Mathematics
• Date: 2003
• Main Author: Cırulis, J.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2003
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154670
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Multi-algebras from the viewpoint of algebraic logic / J. Cırulis // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 20–31. — Бібліогр.: 17 назв. — англ.

Where U is a structure for a first-order language
 L
 ≈ with equality ≈, a standard construction associates with every
 formula f of L
 ≈ the set kfk of those assignments which fulfill f in
 U. These sets make up a (cylindric like) set algebra Cs(U) that&#...