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Home / Science / Math / Logic and Foundations / Proof Theory
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Web Sites
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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.
dns.uncor.edu/info/raggio/03obra/logfm/logica/gentz50.htm
- Critique of the Diagonal Method - A short collection of essays on the diagonal method and arbitrarily large sets.
descmath.com/diag
- 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.
www.statslab.cam.ac.uk/~adb33/research/seminars/fgfut/index.html
- 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.
iml.univ-mrs.fr/ldp/LINEAR
- 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.
iml.univ-mrs.fr/ldp/welcome.html
- Mathematical Reasoning Group - Research group based in Edinburgh, it is running on the interaction between logic, mathematics and informatics. Links to publications, homepages, reports.
dream.dai.ed.ac.uk
- 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.
www-lp.doc.ic.ac.uk/UserPages/staff/ft/alp/comment/proof.html
- 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.
www.amsta.leeds.ac.uk/~bellin/philo.html
- The Epsilon Calculus - Discussion of David Hilbert's development of this type of logical formalism with emphasis on proof-theoretic methods.
plato.stanford.edu/entries/epsilon-calculus
- Proof Theory on the Eve of Year 2000 - A survey consisting of 10 questions asked by Solomon Feferman and 29 responses.
www-logic.stanford.edu/proofsurvey.html
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