Wed 20 Jan 2016 10:55 - 11:20 at Grand Bay South - Track 2: Types and Foundations Chair(s): Robert Atkey
We present an internal formalisation of dependent type theory in type theory using a special case of higher inductive types from Homotopy Type Theory which we call quotient inductive types (QITs). Our formalisation of type theory avoids refering to preterms or a typability relation but defines directly well typed objects by an inductive definition. We use the elimination principle to define the set-theoretic and logical predicate interpretation. The work has been formalized using the Agda system extended with QITs using postulates.
Poster (poster.pdf) | 113KiB |
Wed 20 Jan Times are displayed in time zone: Guadalajara, Mexico City, Monterrey change
Wed 20 Jan
Times are displayed in time zone: Guadalajara, Mexico City, Monterrey change
10:30 - 12:10: Track 2: Types and FoundationsResearch Papers at Grand Bay South Chair(s): Robert AtkeyUniversity of Strathclyde | |||
10:30 - 10:55 Talk | Breaking Through the Normalization Barrier: A Self-Interpreter for F-omega Research Papers Media Attached File Attached | ||
10:55 - 11:20 Talk | Type Theory in Type Theory using Quotient Inductive Types Research Papers Media Attached File Attached | ||
11:20 - 11:45 Talk | System Fω with Equirecursive Types for Datatype-generic Programming Research Papers Yufei CaiUniversity of Tübingen, Germany, Paolo G. GiarrussoUniversity of Tübingen, Germany, Klaus OstermannUniversity of Tübingen, Germany Media Attached | ||
11:45 - 12:10 Talk | A Theory of Effects and Resources: Adjunction Models and Polarised Calculi Research Papers Pierre-Louis CurienUniv. Paris Diderot and INRIA Paris-Rocquencourt, Marcelo FioreComputer Laboratory, University of Cambridge, Guillaume Munch-MaccagnoniComputer Laboratory, University of Cambridge |