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Proof Theory
  Science > Math > Logic and Foundations > Proof Theory   Go to Directory Home  

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Provability and Interpretability Logics (9)
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    Science > Math > Logic and Foundations > Computational Logic > Automated Reasoning  (1)

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  Mathematical Reasoning Group http://dream.dai.ed.ac.uk/
Research group based in Edinburgh, it is running on the interaction between logic, mathematics and informatics. Links to publications, homepages, reports.
  Linear Network http://iml.univ-mrs.fr/ldp/LINEAR/
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.
  ProofTheory.ORG http://www.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 Epsilon Calculus http://plato.stanford.edu/entries/epsilon-calculus/
Discussion of David Hilbert's development of this type of logical formalism with emphasis on proof-theoretic methods.
  Logic of programming http://iml.univ-mrs.fr/ldp/welcome.html
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.
  The Calculus of Structures http://alessio.guglielmi.name/res/cos/index.html
The calculus of structures is a new proof theoretical formalism. It exploits a top-down symmetry of derivations made possible by deep inference.
  G. Japaridze's Papers http://www.csc.villanova.edu/~japaridz/study.html
Full list of publications by this author, with about 30 items in the area of proof theory. Many of the papers are downloadable.
  Proof Theory http://open-site.org/Science/Mathematics/Logic/Proof_Theory/
Open Encyclopedia entry. Hierarchically organized by subtopics.
  Proof Theory as an Alternative to Model Theory http://www.lix.polytechnique.fr/Labo/Dale.Miller/papers/ProofTheoryAsAlternative.html
Short article by Dale Miller, arguing that logic programming languages should base their semantics on proof theory, not model theory.

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