Workshop on The Notion of Proof
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 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 the “hottest” 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:
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.
Call for Papers
Contributors can submit a 1–2 page abstract via Easychair. Submissions will be selected for presentation by the organizers with the possible assistance of external reviewers, as warranted.
If the quality of the contributions warrants it, we intend to invite contributors to expand their abstracts/talks into more complete papers.
Conferences on Intelligent Computer Mathematics
7.-11. July 2014
Last modified: July 03 2014 11:21:01 CEST