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Computability and Logic George S. Boolos, John P. Burgess, Richard C. Jeffrey
Publisher: Cambridge University Press

Mathematical LogicandComputabilityJ. RobbinFebruary 10, 2006This version is from Spring 19870Contents1 Propositional Logic 51.1 Syntax of Propositional Logic. T = Set theoretic and point-free Topology. This book studies fundamental interactions between proof theory and computability. Peter might also have mentioned his book, An Introduction to Gödel's Theorems, and the similarly targeted book by George Boolos, John Burgess, and Richard Jeffrey, Computability and Logic. It provides a unique self-contained text for advanced students and researchers in mathematical logic and computer science. |Logic talks and events in New York L = Lattice theory, algebraic and quantum Logic. But if we don't use second order logic, and use only first order logic, we'd be left with non-standard numbers in Peano arithmetic and this PA would be completely computable. Each author wishes to indicate that any mistakes still left in this text are not due to those above who have so generously helped us, but are due entirely to the other author. The treatment is thoroughly mathematical and prepares students to branch out in several areas of mathematics related to foundations and computability, such as logic, axiomatic set theory, model theory, recursion theory, and computability.