Proof Theory Logic and Foundations Math

@Intermall

Top: Science: Math: Logic_and_Foundations: Proof_Theory:

• Top/Science/Math/Logic and Foundations/Computational Logic/Automated Reasoning

• - Research group based in Edinburgh, it is running on the interaction between logic, mathematics and informatics. Links to publications, homepages, reports.
  
• - Basic material on proof theory and the home page of the only mailing list devoted to proof theory, with hundreds of experts.
  
• - Open Encyclopedia entry. Hierarchically organized by subtopics.
  
• - 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)
  
• - Brief introductions to combinatory logic, the incompleteness theorems and independence results, by Andrew D Burbanks.
  
• - Full list of publications by this author, with about 30 items in the area of proof theory. Many of the papers are downloadable.
  
• - Online seminar on Goodstein's Theorem, transfinite ordinals, formal number theory, Wainer Hierarchy of fast-growing functions, and the Kirby-Paris Theorem.
  
• - The calculus of structures is a new proof theoretical formalism. It exploits a top-down symmetry of derivations made possible by deep inference.
  
• - Internet forum focused on the calculus of structures.
  
• - 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, Ed
  
• - Discussion of David Hilbert's development of this type of logical formalism with emphasis on proof-theoretic methods.