12-15 June 2012, Pisa Summer Workshop in Proof Theory, Pisa, Italy

Aimed at understanding the structure of mathematical proofs, proof theory has undergone different phases: it has been reductive, general, structural. Especially thanks to sequent calculus formalizations, deep results were attained as far as proofs in pure logic and arithmetic are concerned. Through significant connections with computer science, proof theory contributed to the birth of new areas of research outside traditional mathematics, such as the verification of correctness of computer programs. Natural deduction has led to the Curry-Howard correspondence and to connections with functional programming, and sequent calculus is often used in systems of automatic proof search, as in logic programming. Rooted in general proof theory, a proof-theoretic semantics has been recently developed as an alternative to standard denotational truth-condition semantics. The workshop will focus mainly on proof systems, but we aim at touching several areas of proof-theoretical research.

The workshop will be framed in two six-hour tutorials, six one-hour lectures, and is open to half-hour contributed talks.

For more information, see the preliminary webpage at http://www.helsinki.fi/~negri/pswpt.html