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Topia!: Science: Math: Logic and Foundations: Proof Theory (9)
See Also: 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. 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. 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. 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. Mathematical Reasoning Group - Research group based in Edinburgh, it is running on the interaction between logic, mathematics and informatics. Links to publications, homepages, reports. 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. The Epsilon Calculus - Discussion of David Hilbert's development of this type of logical formalism with emphasis on proof-theoretic methods. 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.
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