An Introduction to Mathematical Logic
by Wolfram Pohlers, Thomas Glass
Number of pages: 229
This text treats pure logic and in this connection introduces to basic proof-theoretic techniques. In the second part fundamentals of model theory and in the third part those of recursion theory are dealt with. Furthermore, some extensions of first order logic are treated. Finally, axiom systems for number theory are introduced and Godel's theorems are proved.
This document is no more available for free.
by Frank Waaldijk - arXiv
We give a theoretical and applicable framework for dealing with real-world phenomena. Joining pointwise and pointfree notions in BISH, natural topology gives a faithful idea of important concepts and results in intuitionism.
by Wolfgang Rautenberg - Springer
A well-written introduction to the beautiful and coherent subject. It contains classical material such as logical calculi, beginnings of model theory, and Goedel's incompleteness theorems, as well as some topics motivated by applications.
by Christopher Gauker - University of Cincinnati
This book is for anyone who has had a solid introductory logic course and wants more. Topics covered include soundness and completeness for first-order logic, Tarski's theorem on the undefinability of truth, Godel's incompleteness theorems, etc.
by Nuel Belnap - University of Pittsburgh
This course assumes you know how to use truth functions and quantifiers as tools. Our task here is to study these very tools. Contents: logic of truth functional connectives; first order logic of extensional predicates, operators, and quantifiers.