ID - 131517812 TI - Cylindric-like algebras and algebraic logic AU - Andréka, Hajnal AU - Ferenczi, M. AU - Németi, István PY - 2012 SN - 9783642350252 9783642350245 9789639453159 PB - New York : Budapest : Springer J. Bolyai mathematical society, DB - UniCat KW - Mathematical logic KW - Algebra KW - Discrete mathematics KW - Mathematics KW - Computer science KW - algebra KW - discrete wiskunde KW - computers KW - wiskunde KW - logica KW - computerkunde KW - Algebraic logic KW - Logique algébrique KW - Cylindric algebras KW - Algèbres cylindriques. KW - Logique algébrique KW - Algèbres cylindriques. UR - https://www.unicat.be/uniCat?func=search&query=sysid:131517812 AB - Algebraic logic is a subject in the interface between logic, algebra and geometry, it has strong connections with category theory and combinatorics. Tarski’s quest for finding structure in logic leads to cylindric-like algebras as studied in this book, they are among the main players in Tarskian algebraic logic. Cylindric algebra theory can be viewed in many ways: as an algebraic form of definability theory, as a study of higher-dimensional relations, as an enrichment of Boolean Algebra theory, or, as logic in geometric form (“cylindric” in the name refers to geometric aspects). Cylindric-like algebras have a wide range of applications, in, e.g., natural language theory, data-base theory, stochastics, and even in relativity theory. The present volume, consisting of 18 survey papers, intends to give an overview of the main achievements and new research directions in the past 30 years, since the publication of the Henkin-Monk-Tarski monographs. It is dedicated to the memory of Leon Henkin. ER -