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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.
http://www.maths.bris.ac.uk/~maadb/research/seminars/online/fgfut/fgfut09.html
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Frogs Discussion Group
Internet forum focused on the calculus of structures.
http://news.gmane.org/group/gmane.science.mathematics.frogs/
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G. Japaridze's Papers
Full list of publications by this author, with about 30 items in the area of proof theory. Many of the papers are downloadable.
http://www.csc.villanova.edu/~japaridz/study.html
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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, Edinburgh, Lisboa, Paris and Roma, and a few subsites.
http://iml.univ-mrs.fr/ldp/LINEAR/
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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), and game semantics (proof = strategy). Two realisations of this working programm are Linear Logic and Ludics.
http://iml.univ-mrs.fr/ldp/welcome.html
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Mathematical Reasoning Group
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/
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Proof Theory
Open Encyclopedia entry. Hierarchically organized by subtopics.
http://open-site.org/Science/Mathematics/Logic/Proof_Theory/
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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.
http://www-lp.doc.ic.ac.uk/UserPages/staff/ft/alp/comment/proof.html
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Proof Theory on the Eve of Year 2000
A survey consisting of 10 questions asked by Solomon Feferman and 29 responses.
http://www-logic.stanford.edu/proofsurvey.html
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ProofTheory.ORG
Basic material on proof theory and the home page of the only mailing list devoted to proof theory, with hundreds of experts.
http://www.prooftheory.org/
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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.
http://alessio.guglielmi.name/res/cos/index.html
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The Epsilon Calculus
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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Topics in Logic and Proof Theory
Brief introductions to combinatory logic, the incompleteness theorems and independence results, by Andrew D Burbanks.
http://www.maths.bris.ac.uk/~maadb/research/topics/logic/
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