Symbolic Logic: A First Course
by Gary Hardegree
Publisher: Mcgraw-Hill College 1999
Number of pages: 468
Contents: Basic Concepts of Logic; Truth-Functional Connectives; Validity in Sentential Logic; Translations in Sentential Logic; Derivations in Sentential Logic; Translations in Monadic Predicate Logic; Translations in Polyadic Predicate Logic; Derivations in Predicate Logic.
Home page url
Download or read it online for free here:
(multiple PDF files)
by Stephen G. Simpson - Pennsylvania State University
Lecture notes for all mathematics graduate students. The text covers propositional calculus, predicate calculus, proof systems, extensions of the predicate calculus, theories, definability, interpretability, arithmetization and incompleteness.
by H. Andreka, I. Nemeti, I. Sain
Part I of the book studies algebras which are relevant to logic. Part II deals with the methodology of solving logic problems by (i) translating them to algebra, (ii) solving the algebraic problem, and (iii) translating the result back to logic.
by Bertrand Russell - University of Massachusetts Amherst
A very accessible mathematical classic. It sets forth in elementary form the logical definition of number, the analysis of the notion of order, the modern doctrine of the infinite, and the theory of descriptions and classes as symbolic fictions.
by A. S. Troelstra - CSLI
This text deals with logical formalism, cut-elimination, the embedding of intuitionistic logic in classical linear logic, proofnets for the multiplicative fragment and the algorithmic interpretation of cut-elimination in proofnets.