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Proof Theory
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50th Anniversary of Gentzen's Thesis open in new window
Introduction to Gentzen's Hauptsatz and the consistency proof of arithmetic using induction up to the least epsilon number.
(http://dns.uncor.edu/info/raggio/03obra/logfm/logica/gentz50)

Fast-growing Functions and Unprovable Theorems open in new window
Online seminar on Goodstein's Theorem, transfinite ordinals, formal number theory, Wainer Hierarchy of fast-growing functions, and the Kirby-Paris Theorem.
(http://www.maths.bris.ac.uk/~maadb/research/seminars/online/)

Linear Network open in new window
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, Edinburgh, Lisboa, Paris and Roma, and a few subsites.
(http://iml.univ-mrs.fr/ldp/LINEAR/)

Logic of programming open in new window
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), and game semantics (proof = strategy). Two realisations of this working programm are Linear Logic and Ludics.
(http://iml.univ-mrs.fr/ldp/welcome.html)

Mathematical Reasoning Group open in new window
Research group based in Edinburgh, it is running on the interaction between logic, mathematics and informatics. Links to publications, homepages, reports.
(http://dream.dai.ed.ac.uk/)

Proof Theory as an Alternative to Model Theory open in new window
Short article by Dale Miller, arguing that logic programming languages should base their semantics on proof theory, not model theory.
(http://www-lp.doc.ic.ac.uk/UserPages/staff/ft/alp/comment/pr)

Proof Theory on the Eve of Year 2000 open in new window
A survey consisting of 10 questions asked by Solomon Feferman and 29 responses.
(http://www-logic.stanford.edu/proofsurvey.html)

Proof-Theory open in new window
Series of reflections by Gianluigi Bellin on Prawitz's idea that two proofs are identical exactly when they share the same normal form.
(http://www.amsta.leeds.ac.uk/~bellin/philo.html)

The Epsilon Calculus open in new window
Discussion of David Hilbert's development of this type of logical formalism with emphasis on proof-theoretic methods.
(http://plato.stanford.edu/entries/epsilon-calculus/)


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