Models, Algebras, and Proofs: 1st Edition (Paperback) book cover

Models, Algebras, and Proofs

1st Edition

Edited by Xavier Caicedo, Carlos Montenegro

CRC Press

472 pages

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Paperback: 9780824719708
pub: 1998-11-05
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Description

"Contains a balanced account of recent advances in set theory, model theory, algebraic logic, and proof theory, originally presented at the Tenth Latin American Symposium on Mathematical Logic held in Bogata, Columbia. Traces new interactions among logic, mathematics, and computer science. Features original research from over 30 well-known experts worldwide."

Table of Contents

Set theory - generic absoluteness and forcing axioms; partition of the reals and choice; analogues of the MacDowell-Specker theorem for set theory; strict genericity; weak versions of the axiom of choice for families of finite sets; heights of models of ZFC and the existence of end elementary extensions; model theory; on the (infinite) model theory of fixed point logics; stable Banach spaces and Banach space structures; induction, games, and linear orderings; query completeness, distinguishability, and rational machines. Algebraic logic - ideals in quasivarieties of algebras; amalgamation and interpolation in abstract algebraic logic; symmetric intuitionistic connectives; matrix semantics for annotated logics; twenty questions with many-valued answers; Monadic De Morgan algebras. Proof systems -inductive theorem proving in hierarchical conditional specifications; general combinatorial principles in second order bounded arithmetic; towards an information logic; standardizing the N systems of Gentzen; translations between logics.

About the Series

Lecture Notes in Pure and Applied Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT002000
MATHEMATICS / Algebra / General