A Case-Study in Timed Refinement: A Mine Pump
IEEE Transactions on Software Engineering - Special issue: specification and analysis of real-time systems
Forward and backward simulations II.: timing-based systems
Information and Computation
Studies in hybrid systems: modeling, analysis, and control
Studies in hybrid systems: modeling, analysis, and control
A Discipline of Programming
Refinement Calculus: A Systematic Introduction
Refinement Calculus: A Systematic Introduction
Trace Refinement of Action Systems
CONCUR '94 Proceedings of the Concurrency Theory
Towards Refining Temporal Specifications into Hybrid Systems
Hybrid Systems
HYTECH: The Cornell HYbrid TECHnology Tool
Hybrid Systems II
Action Systems with Continuous Behaviour
Hybrid Systems V
An Action System Approach to the Steam Boiler Problem
Formal Methods for Industrial Applications, Specifying and Programming the Steam Boiler Control (the book grow out of a Dagstuhl Seminar, June 1995).
Refinement Calculus, Part II: Parallel and Reactive Programs
Stepwise Refinement of Distributed Systems, Models, Formalisms, Correctness, REX Workshop
Decentralization of process nets with centralized control
PODC '83 Proceedings of the second annual ACM symposium on Principles of distributed computing
Refinement and Continuous Behaviour
Refinement and Continuous Behaviour
ICFEM '09 Proceedings of the 11th International Conference on Formal Engineering Methods: Formal Methods and Software Engineering
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Refinement Calculus is a formal framework for the development of provably correct software. It is used by Action Systems, a predicate transformer based framework for constructing distributed and reactive systems. Recently, Action Systems were extended with a new action called the differential action. It allows the modelling of continuous behaviour, such that Action Systems may model hybrid systems. In this paper we investigate how the differential action fits into the refinement framework. As the main result we develop simple laws for proving a refinement step involving continuous behaviour within the Refinement Calculus.