20-23 Aug 2019
Stockholm, Sweden
===================================================== Call for Participation and Contributed Papers ===================================================== Mathematical Logic and Constructivity: The Scope and Limits of Neutral Constructivism Stockholm, Sweden, August 20-23, 2019 http://logic.math.su.se/mloc-2019/ Deadline for contributed talks: May 31, 2019 ===================================================== With Errett Bishop's seminal work Foundations of Constructive Analysis 1967, a neutral position in the foundations of constructive mathematics emerged. It avoided Brouwer's assumptions about choice-sequences and continuity, and it did not assume that every total function on the natural numbers is computable. This made the position palatable also to the classical mathematician, and it is in the intersection of the three realms of foundations, commonly designated by the abbreviations INT, RUSS and CLASS. Successful full-fledged formal logical foundations for neutral constructivism exists, among the most well-known are Aczel-Myhill set theory and Martin-Löf type theory. Neutral constructive mathematics may also be studied for systems that make fewer ontological assumptions, which is important for reverse mathematics. To the surprise of many in constructive mathematics a new principle about sequences, the boundedness principle BD-N, was discovered, and found to be true in all the three realms without being true in neutral constructvism. Further principles of this kind are being investigated. In type theory new axioms have been discovered, such as the univalence axiom, whose constructive status was only later settled. Important questions are whether new axioms can be modelled indirectly using neutral constructive methods, or whether they can be directly justified. This workshop aims to focus on the scope and limits of neutral constructivism. The study of neutral constructivism paves the way for further developments of interactive proof systems, which is of strategic importance for verification of software, and in particular, correctness-by-construction software. INVITED SPEAKERS INCLUDE * Douglas S. Bridges, University of Canterbury, Christchurch, New Zealand * Thierry Coquand, Chalmers and Göteborg University, Sweden * Martin Escardo, University of Birminham, England (to be confirmed) * Makoto Fujiwara, Waseda University, Japan * Nicola Gambino, Leeds University, England * Henri Lombardi, Université Franche-Comté, France * Maria Emilia Maietti, University of Padova, Italy * Takako Nemoto, JAIST, Japan * Iosif Petrakis, L-M University, Munich, Germany * Hideki Tsuiki, Kyoto University, Japan (to be confirmed) * Chuangjie Xu, L-M University, Munich, Germany * Keita Yokoyama, JAIST, Japan FURTHER SPEAKERS * Hajime Ishihara, JAIST, Japan * Anders Mörtberg, Carnegie Mellon University and Stockholm University CONTRIBUTED TALKS Proposals for contributed talks are welcome and are to be submitted via the EasyChair system: https://easychair.org/conferences/?conf=mloc19 Suggested length of abstract: half a page (max 2 pages). Deadline for contributed talks: May 31, 2019 (anywhere on Earth) Notification of acceptance: June 14, 2019 PROGRAM COMMITTEE * Hajime Ishihara, JAIST, Japan (co-chair) * Tatsuji Kawai, JAIST, Japan * Peter LeFanu Lumsdaine, Stockholm University * Anders Mörtberg, Carnegie Mellon University and Stockholm University * Erik Palmgren, Stockholm University (co-chair) REGISTRATION The workshop is free of charge, but to aid planning please register by sending the organizers an email mloc19@math.su.se<mailto:mloc19@math.su.se> with name and affilliation at the latest August 13, 2019. VENUE Department of Mathematics, Stockholm University, Sweden WEB PAGES http://logic.math.su.se/mloc-2019/ IMPORTANT DATES 2 April 2019 registration opens 31 May 2019 abstracts for contributed talks 14 June 2019 notification of acceptance 13 August 2019 registration closes 20-23 August 2019 conference -- [LOGIC] mailing list http://www.dvmlg.de/mailingliste.html Archive: http://www.illc.uva.nl/LogicList/ provided by a collaboration of the DVMLG, the Maths Departments in Bonn and Hamburg, and the ILLC at the Universiteit van Amsterdam