Slides of Talks given by Anton Setzer

• Extraction of Programs from Proofs using Postulated Axioms Talk given at Agda Intensive Meeting Xiii 2011, Göteborg, Sweden, 6 - 12 April 2011.
• Coalgebras in Dependent Type Theory -- The Saga Continues. Talk given at Agda Intensive Meeting Xii 2010, Nottingham, 1. - 7. September 2010.
  • Discusses design issues for defining coalgebras in the dependently typed theorem prover Agda. Especially introduces constructor/destructor patterns for defining functions on coalgebras, which looks very symmetric.
• Extensions of inductive definitions: Indexed inductive, inductive-recursive and inductive-inductive definitions. Invited talk, British Logic Colloquium 2010, 2. - 4. September 2010.
  • Overview over the "zoo" of extensions of inductive definitions, parametrized, restricted indexed, generalised indexed inductive definitions, inductive-recursive and inductive-inductive definitions, the Mahlo Universe and the extended predicative Mahlo universe.
• Extraction of programs from proofs about real numbers in dependent type thoery. Invited talk, Workshop Program Extraction and Constructive Proofs, Workshop in Honour of Helmut Schwichtenberg, Satellite workshop of CSL 2010 and MFCS 2010, Brno, 21 August 2010.
  • Shows how to extract programs from proofs about real numbers in the theorem prover Agda based on dependent types, when axiomatizing the real numbers. General conditions which guarantee that program extraction from proofs containing axioms (not only real number axioms) works are given.
• Coalgebras in Dependent Type Theory Talk given at Dependently Typed Programming DTP 10, Workshop associated with LICS 2010, satellite workshop of Flocs 2010, Edinburgh, 9 - 10 July 2010.
  • Discusses approaches to representing coalgebras in the dependently typed theorem prover Agda. Especially discusses conceptual problems with the infinity operator and the recently abondened approach using ~.
  • BibTeX
• Combining Automated and Interactive Theorem Proving in Agda Swansea PCV seminar, 20 May 2010.
  • Agda code (special symbols display only well under emacs with Agda installation)
  • Agda code transformed to html
• Interactive Programs in Agda (Agda Intensive Meeting AIMX, Gothenburg, Sweden, 14 - 18 September 2009.
• Inductive-Recursive Definitions (Cambridge, Computer Laboratory, Logic and Semantics Seminar, 29 May 2009)
• Coalgebras as types determined by their elimination rules (Conference Philosophy and Foundations of Mathematics: Epistemological and Ontological Aspects. A conference dedicated to Per Martin-Löf on occasion of his retirment. Swedish Collegium for Advanced Study, Uppsala, Sweden, 5 - 8 may 2009. Website
• Coalgebras and codata in Agda (Wessex Seminar, Bath, UK, March 3 2009, Website
• Before March 2009 only a few talks are listed.
  • Algebraic Data Types in Java (Swansea, 4 March 2003)