Se ha publicado un nuevo artículo sobre automatización del razonamiento en Isabelle/HOL: Lifting and transfer: A modular design for quotients in Isabelle/HOL.
El trabajo se presentará el 12 de agosto en el Isabelle Users Workshop 2012 en el marco del ITP 2012 (third conference on Interactive Theorem Proving).
Su resumen es
Quotients, subtypes, and other forms of type abstraction are ubiquitous in formal reasoning with higher-order logic. Typically, users want to build a library of operations and theorems about an abstract type, but they want to write definitions and proofs in terms of a more concrete representation type, or “raw” type. Earlier work on the Isabelle Quotient package [1, 2] has yielded great progress in automation, but it still has many technical limitations.
We present an improved, modular design centered around two new packages: the Transfer package for proving theorems, and the Lifting package for defining constants. Our new design is simpler, applicable in more situations, and has more user-friendly automation. An initial implementation is available in Isabelle 2012.