**8 Jul 2014
Coimbra, Portugal**

CICM 2014 workshop "The Notion of Proof" ========== Date: July 8, 2014 Location: University of Coimbra (Portugal) Homepage: http://cicm-conference.org/2014/cicm.php?event=nop&menu=general Part of the Conference on Intelligent Computer Mathematics (CICM) 2014: http://cicm-conference.org/2014/cicm.php Description ---------- We have already witnessed the moment where chess-playing computers have surpassed humans. It might seem to be only a matter of time that computers will also surpass humans in mathematical theorem proving. In fact, the traditional notion of mathematical proof faces in the 21st century what we will call "the computer challenge". Three different aspects are worth separating: * proof search; * proof check; * proof representation. Proof search has its known limitations due to undecidability and complexity results. However, special areas, such as semigroup theory, already enjoy considerable support from computer-generated proofs. Proof check is recently a "hot" area, in no small part due to the attempt to formally verify the proof of the Kepler conjecture by its author Hales. Proof representation seems currently to be a stumbling block for convincing the mathematical community to accept computer-aided theorem proving as a viable complement to everyday mathematical research. For our workshop we solicit contributions for discussions about the current state-of-the-art of automated theorem proving (ATP), approaching the topic from the mathematical (or even philosophical) side, as well as from computer science. In addition to standard scientific/philosophical papers, descriptions and demonstrations of computer systems that bear on these issues are also welcome. Special focus is put on the last two items mentioned above, addressing the more concrete questions: * How, and to what extent, can (or will) proof checking convince the mathematical community from the correctness of a proof? * Do computer-generated proof representations match our intuitive notion of mathematical proof? The answers to both question should give us a deeper insight in the challenges and tasks for mathematical proofs and computer-aided theorem proving in the 21st century. Important dates ---------- May 31: Submission deadline June 10: Author notification July 7-11: CICM 2014 July 8: Workshop Invited speakers ---------- * Freek Wiedijk (Radboud University Nijmegen, the Netherlands) * Michael Kinyon (University of Denver, United States) Organizers ---------- - Jesse Alama Theory and Logic Group Technical University of Vienna, Austria alama@logic.at - Reinhard Kahle Center for Artificial Intelligence / Department of Mathematics New University of Lisbon, Portugal kahle@mat.uc.pt - Gregory Wheeler Munich Center for Mathematical Philosophy Ludwig Maximilian University of Munich, Germany Gregory.Wheeler@lrz.uni-muenchen.de Submission ---------- Contributors can submit a 1-2 page abstract via Easychair at the https://www.easychair.org/conferences/?conf=nop2014 Submissions will be selected for presentation by the organizers with the possible assistance of external reviewers, as warranted. Publication ----------- If the quality of the contributions warrants it, we intend to invite contributors to expand their abstracts/talks into more complete papers. Format ---------- Our workshop will last one day. We will begin with our invited talk, and the remainder of the time will be contributed talks, of which we are aiming for 6-8. At the end of the day an open discussion, led by the organizers, will synthesize what has been presented.