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The ordinals in set theory and type theory are the same.
TYPES 2023, June 2023, Valencia.
Slides Video
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Constructive taboos for ordinals.
Tallinn Logic and Semantics Group: CS Theory Seminar, October 2022, online.
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TypOS: An “Operating System” for Typechecking Actors.
TYPES 2022, June 2022, Nantes.
Slides Video
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Different Notions of Ordinals in Homotopy Type Theory.
HOTTEST seminar, March 2022, online.
Slides Video
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Functorial adapters.
TYPES 2021, June 2021, online.
Video
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Constructive Notions of Ordinals in Homotopy Type Theory.
TYPES 2021, June 2021, online.
Slides Video
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Quantitative Polynomial Functors.
Workshop on Polynomial Functors, March 2021, Topos Institute.
Slides Video
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Ordinal notation systems for ordinals below ε0 in modern type theories.
LFCS seminar, February 2020, Edinburgh.
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Compositional Game Theory in Type Theory.
TYPES 2019, June 2019, Oslo.
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Specifying quotient inductive-inductive types.
TYPES 2018, June 2018, Braga.
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Variations on inductive-recursive definitions.
Agda Implementors' Meeting XXV, May 2017, Gothenburg.
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Comprehensive parametric polymorphism.
LFCS seminar, May 2016, Edinburgh.
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The encode-decode method in HoTT, relationally.
Scottish Theorem Proving Seminar, October 2015, Dundee.
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Inductive-inductive definitions in Intuitionistic Type Theory.
Stockholm Logic seminar, June 2014, Stockholm.
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My Summer in Munich: Extracting Haskell Programs.
Realizability Seminar, February 2013, Swansea.
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Internalising inductive-inductive definitions in Martin-Löf Type Theory.
TCS Oberseminar, November 2012, LMU Institut für Informatik, Munich, Germany.
Slides
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Elimination principles for initial dialgebras.
TYPES 2011, Bergen, Norway.
Slides
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A categorical semantics for inductive-inductive definitions.
CALCO 2011, Winchester, UK.
Slides
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Interpreting inductive-inductive definitions as indexed inductive definitions.
TYPES 2010, Warsaw, Poland.
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