[HoTT] Workshop on inductive definitions

[HoTT] Workshop on inductive definitions

[Ansten Mørch Klev]

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Workshop on inductive definitions

An inductively defined domain is a domain whose elements may be thought of
as having been generated in a stepwise fashion. Standard examples are the
natural numbers, the words over some alphabet, and the constructive
ordinals. Over an inductively defined domain, functions may be defined by
induction on the structure of the elements. Both forms of inductive
definition are central to mathematics. In constructive mathematics, in
particular, they are usually treated as primitive forms of definition. In
this workshop, both conceptual and technical aspects of inductive
definitions will be discussed.

Hosted by the Institute of Philosophy, Czech Academy of Sciences
2-3 May
Academic Conference Centre (AKC), Husova 4a, Prague, Czechia

Thursday 2 May
-------
10.00 Introduction by Ansten Klev (Prague)
11.00 Peter Dybjer (Gothenburg) – Inductive definitions, predicativity and
the Mahlo Universe

14.00 Laura Crosilla (Florence) – Predicativity as invariance
15.30 Mark van Atten (Paris) – Intuitionistic inductive definitions

Friday 3 May
------
9.30 Thierry Coquand (Gothenburg) – Inductive definitions and constructive
mathematics
11.00 Øystein Linnebo (Oslo) – Inductive definitions and Weyl's notion of
extensional determinateness

14.00 Ulrik Buchholtz (Nottingham) – TBA
15.30 Wilfried Sieg (Pittsburgh) – Methodological frames: Mathematical
structuralism and proof theory

The workshop will be broadcast via Zoom. Write klev@flu.cas.cz for the
link. The talks by Van Atten and Sieg will be exclusively via Zoom.

Generously funded by a Lumina quaeruntur grant (LQ300092101) from the Czech
Academy of Sciences.

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