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Proof Theory

e-books in Proof Theory category

Book cover: Introduction to Proof TheoryIntroduction to Proof Theory
by - ESSLLI ,
These are the course notes for the 13th European Summer School in Logic, Language and Information. Contents: Predicate Logic; Extension of Predicate Logic; Type Theory; Cut Elimination in Predicate Logic; Cut Elimination in Predicate Logic Modulo.
(4659 views)
Book cover: Isabelle/HOL: A Proof Assistant for Higher-Order LogicIsabelle/HOL: A Proof Assistant for Higher-Order Logic
by - Springer ,
This book is a self-contained introduction to interactive proof in higher-order logic, using the proof assistant Isabelle. It is a tutorial for potential users. The book has three parts: Elementary Techniques; Logic and Sets; Advanced Material.
(6388 views)

Book cover: Proof, Sets, and LogicProof, Sets, and Logic
by - Boise State University ,
This textbook is intended to communicate something about proof, sets, and logic. It is about the foundations of mathematics, a subject which results when mathematicians examine the subject matter and the practice of their own subject very carefully.
(8964 views)
Book cover: Proof Theory and PhilosophyProof Theory and Philosophy
by - consequently.org ,
A textbook in philosophical logic, accessible to someone who's done only an intro course in logic, covering some model theory and proof theory of propositional logic, and predicate logic. User-friendly and philosophically motivated presentation.
(6861 views)
Book cover: Logic and ProofLogic and Proof
by - University of Cambridge ,
These lecture notes give a brief introduction to logic, with including the resolution method of theorem-proving and its relation to the programming language Prolog. Formal logic is used for specifying and verifying computer systems.
(7706 views)
Book cover: Proofs and TypesProofs and Types
by - Cambridge University Press ,
This little book comes from a short graduate course on typed lambda-calculus given at the Universite Paris. It is not intended to be encyclopedic and the selection of topics was really quite haphazard. Some very basic knowledge of logic is needed.
(8617 views)
Book cover: Logic for Computer ScienceLogic for Computer Science
by - Longman Higher Education ,
This online book is an introduction to mathematical logic. The emphasis is on proof theory and algorithmical procedures for formal proofs. The book is designed for computer scientists and mathematically inclined readers.
(11889 views)
Book cover: Language, Proof and LogicLanguage, Proof and Logic
by - Center for the Study of Language ,
The book covers the boolean connectives, formal proof techniques, quantifiers, basic set theory, induction, proofs of soundness and completeness for propositional and predicate logic, and an accessible sketch of Godel's first incompleteness theorem.
(10691 views)