Lectures on Linear Logic
by A. S. Troelstra
Publisher: CSLI 1992
Number of pages: 215
The initial sections of this text deal with syntactical matters such as logical formalism, cut-elimination, and the embedding of intuitionistic logic in classical linear logic. Concluding chapters focus on proofnets for the multiplicative fragment and the algorithmic interpretation of cut-elimination in proofnets.
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by Wolfram Pohlers, Thomas Glass
This text treats pure logic and in this connection introduces to basic proof-theoretic techniques. Fundamentals of model theory and those of recursion theory are dealt with. Furthermore, some extensions of first order logic are treated.
by Karlis Podnieks - University of Latvia
Textbook for students in mathematical logic and foundations of mathematics. Contents: Platonism, intuition and the nature of mathematics; Axiomatic Set Theory; First Order Arithmetic; Hilbert's Tenth Problem; Incompleteness Theorems; Godel's Theorem.
An undergraduate college level textbook covering first order predicate logic with identity but omitting metalogical proofs. The first rules of formal logic were written over 2300 years ago by Aristotle and are still vital.
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This is Robert Herrmann's elementary book in mathematical logic that includes all basic material in the predicate and propositional calculus presented in a unique manner. Neither proof requires specialized mathematical procedures.