Proof Theory

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» 50th Anniversary of Gentzen's Thesis - Introduction to Gentzen's Hauptsatz and the consistency proof of arithmetic using induction up to the least epsilon number.
» Fast-growing Functions and Unprovable Theorems - Online seminar on Goodstein's Theorem, transfinite ordinals, formal number theory, Wainer Hierarchy of fast-growing functions, and the Kirby-Paris Theorem.
» Linear Network - Linear Logic in Computer Science is lead by the "Logic of Programming" research team. Its thematic is focused on developing the theory and the applications of Linear Logic. It is formed by seven sites located in Marseille, Bologna, Cambridge, Ed
» Logic of programming - The "Logic of Programming" research team is interested in proof theory and its relations with theoretical computer science. The main topic is mathematical interpretation of proofs : nets (proof = graph), denotational semantics (proof = function)
» Mathematical Reasoning Group - Research group based in Edinburgh, it is running on the interaction between logic, mathematics and informatics. Links to publications, homepages, reports.
» Proof Theory as an Alternative to Model Theory - Short article by Dale Miller, arguing that logic programming languages should base their semantics on proof theory, not model theory.
» Proof Theory on the Eve of Year 2000 - A survey consisting of 10 questions asked by Solomon Feferman and 29 responses.
» Proof-Theory - Series of reflections by Gianluigi Bellin on Prawitz's idea that two proofs are identical exactly when they share the same normal form.
» ProofTheory.ORG - Basic material on proof theory and the home page of the only mailing list devoted to proof theory, with hundreds of experts.
» The Calculus of Structures - The calculus of structures is a new proof theoretical formalism. It exploits a top-down symmetry of derivations made possible by deep inference.
» The Epsilon Calculus - Discussion of David Hilbert's development of this type of logical formalism with emphasis on proof-theoretic methods.