Thursday, 31 May 2012, 14:00
Cybernetica Bldg (Akadeemia tee 21), room B101
Abstract: We present a compiler for definitions made by pattern matching on inductive families in the Coq system. It allows to write structured, recursive dependently-typed functions, automatically find their realization in the core type theory and generate proofs to ease reasoning on them. The high-level interface allows to write dependently-typed functions on inductive families in a style close to Agda or Epigram, while their low-level implementation is accepted by the vanilla core type theory of Coq. This setup uses the smallest trusted code base possible and additional tools are provided to maintain a high-level view of definitions. The compiler makes heavy use of type classes and the high-level tactic language of Coq for greater genericity and extensibility.
This talk is given in the frame of the 4th French month of science in Estonia.