The János Bolyai Mathematical Society held an Algebraic Logic Colloquium between 8-14 August, 1988, in Budapest. An introductory series of lectures on cylindric and relation algebras was given by Roger D. Maddux.
The present volume is not restricted to papers presented at the conference. Instead, it is aimed at providing the reader with a relatively coherent reading on Algebraic Logic (AL), with an emphasis on current research. We could not cover the whole of AL, probably the most important omission being that the category theoretic versions of AL were treated only in their connections with Tarskian (or more traditional) AL. The present volume was prepared in collaboration with the editors of the Proceedings of Ames conference on AL (Springer Lecture Notes in Computer Science Vol. 425, 1990), and a volume of Studia Logica devoted to AL which was scheduled to go to press in the fall of 1990. Some of the papers originally submitted to the present volume appear in one of the latter.
Author(s): H. Andreka, J.D.Monk, I.Nemeti (eds.)
Series: Colloquia Mathematica Societatis János Bolyai, Volume 54
Publisher: Elsevier
Year: 1991
Language: English
Commentary: Scanned, DjVu'ed, OCR'ed by Envoy
Pages: 755
Introduction
I. H. Anellis and N. Houser: Nineteenth Century Roots of Algebraic Logic and Universal Algebra
R. Berghammer, P. Kempf, G. Schmidt, and T. Strohlein: Relation Algebra and Logic of Programs
C. Bergman: Structural Completeness in Algebra and Logic
W. J. Blok and D. J. Pigozzi: Local Deduction Theorems in Algebraic Logic
D. A. Bredikhin: On Relation Algebras with General Superpositions
J. Cirulis: An Algebraization of First Order Logic with Terms
S. D. Comer: The Representation of Dimension 3 Cylindric Algebras
M. Ferenczi: Measures Defined on Free Products of Formula Algebras and Analogies with Cylindric Homomorphisms
J. M. Font and V. Verdu: On Some Non-algebraizable Logics
S. Givant: Tarski’s Development of Logic and Mathematics based on the Calculus of Relations
R. Goldblatt: On Closure Under Canonical Embedding Algebras
G. Hansoul: Modal-axiomatic Classes of Kripke Models
P. Jipsen and E. Lukas: Representability of Finite Simple Relation Algebras with Many Identity Atoms
B. Jonsson: The Theory of Binary Relations
R. L. Kramer: Relativized Relation Algebras
J. Lambek: Categorical Versus Algebraic Logic
R. D. Maddux: Introductory Course on Relation Algebras, Finite-dimensional Cylindric Algebras, and Their Interconnections
V. Manca and A. Salibra: On the Power of Equational Logic: Applications and Extensions
J. D. Monk: Structure Problems for Cylindric Algebras
I. Nemeti and H. Andreka: On Jonsson’s Clones of Operations on Binary Relations
E. Orlowska: Relational Interpretation of Modal Logics
D. J. Pigozzi: Fregean Algebraic Logic
В. I. Plotkin: Halmos (polyadic) Algebras in Database Theory
D. Resek and R. J. Thompson: Characterizing Relativized Cylindric Algebras
I. Sain and R. J. Thompson: Strictly Finite Schema Axiomatization of Quasi-polyadic Algebras
A. Salibra: A General Theory of Algebras with Quantifiers
B. M. Schein: Representation of Subreducts of Tarski Relation Algebras
Gy. Sereny: Neatly Atomic Cylindric Algebras and Representable Isomorphisms
S. Shelah: On a Problem in Cylindric Algebra
A. Simon: Finite schema completeness for typeless logic and representable cylindric algebras
Zs. Tuza: Representations of Relation Algebras and Patterns of Colored Triplets
Y. Venema: Relational Games
J. D. Monk: Remarks on the Problems in the Books Cylindric Algebras, Part I and Part II and Cylindric Set Algebras
J. D. Monk: Corrections for the Books Cylindric Algebras, Part I and Part II and Cylindric Set Algebras
Open problems
