12-15 Jun 2012
Pisa, Italy
Pisa Summer Workshop in Proof Theory http://www.helsinki.fi/~negri/pswpt.html Pisa, Italy 12-15 June 2012 Organizers: Department of Philosophy, University of Pisa Department of Philosophy, University of Helsinki Open call for papers Aimed to understanding the structure of mathematical proofs, proof theory has undergone different phases: it has been reductive, general, structural. Especially thanks to sequent calculus formalization, deep results were attained as far asproofs 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 the 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. Peolpe interested to present a paper to the workshop may send a title with a short abstract to one of the following e-mail addresses: moriconi@fls.unipi.it <mailto:moriconi@fls.unipi.it> tesconi@fls.unipi.it <mailto:tesconi@fls.unipi.it> sara.negri@helsinki.fi <mailto:sara.negri@helsinki.fi> jan.vonplato@helsinki.fi <mailto:jan.vonplato@helsinki.fi> Deadline for submissions:March 20,2012 TUTORIAL SPEAKERS: George Metcalfe (University of Bern): "Admissible Rules in Logic and Algebra" Sara Negri(University of Helsinki): "Proof systems for modal and epistemic logics" INVITED SPEAKERS: Arnon Avron(University of Tel-Aviv): "Construction of Cut-free Sequent Calculi for Paraconsistent Logics" Kosta Dosen(University of Belgrade): "The Main Question of General Proof Theory" Hermann Ruge Jervell(University of Oslo): "Cut elimination" Simone Martini(University of Bologna): Title tba Alex Simpson(University of Edinburgh): Title tba Jan von Plato(University of Helsinki): Title tba. For more details please check http://www.helsinki.fi/~negri/pswpt.html