A Logical Framework to Prove Properties of Alpha Programs (revised version)
Luc Bougé, David Cachera, 38 - Grenoble (France). Unite de Recherche Rhone-Alpes Institut National de Recherche en Informatique et en Automatique (INRIA) · OpenGrey (Institut de l'Information Scientifique et Technique) · 1997
We present an assertional approach to prove properties of Alpha programs. Alpha is a functional language based on affine recurrence equations. We first present two kinds of operational semantics for Alpha together with some equivalence and confluence properties of these semantics. We then present an attempt to provide Alpha with an external logical framework. We therefore define a proof method based on invariants. We focus on a particular class of invariants, namely canonical invariants, that are a logical expression of the program's semantics. We finally show that this framework is well-suited to prove partial properties, equivalence properties between Alpha programs and properties that we cannot express within the Alpha language