Formalising general correctness

We consider the abstract command language of Dunne, and his account of general correctness. We provide an operational interpretation of his abstract commands, and use the automated theorem proving system Isabelle to prove that this operational interpretation leads to Dunne's semantics. We consider the difficulties in precisely formalising some formulae found in the literature

Theorem Proving in Higher Order Logics

Syntax in Nuprl ::::::::::::::::::::::::::::::::::::::::::::: 23 Eli Barzilay, Stuart Allen DOVE: a Graphical Tool for the Analysis and Evaluation of Critical Systems :::::::::::::::::::::: 33 Tony Cant, Jim McCarthy, Brendan Mahony Formalising General Correctness ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 36 Jeremy E. Dawson Automatic Constraint Calculation using Lax Logic ::::::::::::::::::::::::::::::::::::::::::::: 48 Jeremy E. Dawson, Matt Fairtlough Automating Fraenkel-Mostowski Syntax :::::::::::::::::::::::::::::::::::::::::::::::::::::: 60 Murdoch J. Gabbay AFormal Correctness Proof of the SPIDER Diagnosis Protocol :::::::::::::::::::::::::::::::::: 71 Alfons Geser, Paul S. Miner Using HOL to Study Sugar 2.0 Semantics ::::::::::::::::::::::::::::::::::::::::::::::::::::: 87 Michael J. C. Gordon Extending DOVE with Product Automata :::::::::::::::::::::::::::::::::::::::::::::::::::: 101 Elsa L. Gunter, Yi Meng A Higher-Order System for Representing Metabolic Pathways ::::::::::::::::::::::::::::::::::: 112 Sara Kalvala Higher-Order Pattern Unification and Proof Irrelevance ::::::::::::::::::::::::::::::::::::::::: 121 Jason Reed AVerification of Rijndael in HOL :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 128 Konrad Slind The K Combinator as a Semantically TransparentTagging Mechanism:::::::::::::::::::::::::::: 139 Konrad Slind, Michael Norrish FCM 2002 Invited Talk Real Numbers in Real Applications ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 146 John Harrison v vi FCM 2002 Workshop Papers A PVS Service for MathWeb :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: 147 A. A. Adams, A. Franke, J. Zimmer Formalizing Real Calculus in Coq :::::::::::::::::::::::::::::::::::..