Discussion of Homotopy Type Theory and Univalent Foundations
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* [HoTT] MLoC 2019: Mathematical Logic and Constructivity, Stockholm (Sweden), Aug 20-23, 2019
@ 2019-04-02 13:26 Erik Palmgren
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Call for Participation and Contributed Papers


Mathematical Logic and Constructivity:

The Scope and Limits of Neutral Constructivism

Stockholm, Sweden, August 20-23, 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

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.


* 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


* Hajime Ishihara, JAIST, Japan
* Anders Mörtberg, Carnegie Mellon University and Stockholm University


Proposals for contributed talks are welcome and are to be submitted
via the EasyChair system:


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


* 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)


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.


Department of Mathematics, Stockholm University, Sweden




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

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2019-04-02 13:26 [HoTT] MLoC 2019: Mathematical Logic and Constructivity, Stockholm (Sweden), Aug 20-23, 2019 Erik Palmgren

Discussion of Homotopy Type Theory and Univalent Foundations

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