Safety analysis of timing properties in real-time systems
IEEE Transactions on Software Engineering - Special issue on reliability and safety in real-time process control
Distributed systems and computer networks
Distributed systems and computer networks
A theoretical basis for stepwise refinement and the programming calculus
Science of Computer Programming
ACM Transactions on Programming Languages and Systems (TOPLAS)
A calculus of refinements for program derivations
Acta Informatica
The Z notation: a reference manual
The Z notation: a reference manual
Real-time systems and their programming languages
Real-time systems and their programming languages
Temporal proof methodologies for real-time systems
POPL '91 Proceedings of the 18th ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Specification case studies
A framework for building dependable systems
The Computer Journal - Special issue on methodologies (systems and software)
An introduction to modal and temporal logics for CCS
Proceedings of the UK/Japan workshop on Concurrency : theory, language, and architecture: theory, language, and architecture
On the Duality of Fault Tolerant System Structures
Proceedings of the International Workshop on Experiences with Distributed Systems
A uniform mathematical theory for real-time distributed computing
A uniform mathematical theory for real-time distributed computing
ACM Transactions on Software Engineering and Methodology (TOSEM)
Object-oriented logical specification of time-critical systems
ACM Transactions on Software Engineering and Methodology (TOSEM)
Blending Object-Z and Timed CSP: an introduction to TCOZ
Proceedings of the 20th international conference on Software engineering
IEEE Transactions on Software Engineering
Specifying mode requirements of embedded systems
ACSC '02 Proceedings of the twenty-fifth Australasian conference on Computer science - Volume 4
Refinement and Continuous Behaviour
HSCC '99 Proceedings of the Second International Workshop on Hybrid Systems: Computation and Control
FM '99 Proceedings of the Wold Congress on Formal Methods in the Development of Computing Systems-Volume II
Structuring Real-Time Object-Z Specifications
IFM '00 Proceedings of the Second International Conference on Integrated Formal Methods
A Parallel Operator for Real-Time Processes with Predicate Transformer Semantics
ARTS '99 Proceedings of the 5th International AMAST Workshop on Formal Methods for Real-Time and Probabilistic Systems
A predicative semantics for real-time refinement
Programming methodology
Induction in the timed interval calculus
Theoretical Computer Science
A framework for adding time into formal object models
WORDS '97 Proceedings of the 3rd Workshop on Object-Oriented Real-Time Dependable Systems - (WORDS '97)
Hybrid object-oriented real-time software development with VDM/sup ++/
ICFEM '97 Proceedings of the 1st International Conference on Formal Engineering Methods
A verification system for timed interval calculus
Proceedings of the 30th international conference on Software engineering
Towards reasoning about teleo-reactive programs for robust real-time systems
Proceedings of the 2008 RISE/EFTS Joint International Workshop on Software Engineering for Resilient Systems
Extending Formal Methods for Software-Intensive Systems
Software-Intensive Systems and New Computing Paradigms
A verification system for interval-based specification languages
ACM Transactions on Software Engineering and Methodology (TOSEM)
A stepwise development process for reasoning about the reliability of real-time systems
IFM'07 Proceedings of the 6th international conference on Integrated formal methods
Machine-assisted proof support for validation beyond Simulink
ICFEM'07 Proceedings of the formal engineering methods 9th international conference on Formal methods and software engineering
Deriving specifications for systems that are connected to the physical world
Formal methods and hybrid real-time systems
A timeband framework for modelling real-time systems
Real-Time Systems
Applying timed interval calculus to simulink diagrams
ICFEM'06 Proceedings of the 8th international conference on Formal Methods and Software Engineering
Coercing real-time refinement: a transmitter
1FACS'96 Proceedings of the 1st BCS-FACS conference on Northern Formal Methods
Defining relationships in ecology using object-oriented formal specifications
Mathematical and Computer Modelling: An International Journal
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A specification and top-level refinement of a simple mine pump control system, as well as a proof of correctness of the refinement, are presented as an example of the application of a formal method for the development of time-based systems. The overall approach makes use of a refinement calculus for timed systems, similar to the refinement calculi for sequential programs. The specification makes use of topologically continuous functions of time to describe both analog and discrete properties of both the system and its refinements. The basic building block of specifications is a specification statement that gives a clear separation between the specification of the assumptions that the system may make about the environment in which it is to be placed, and the effect the system is guaranteed to achieve if placed in such an environment. The top-level refinement of the system is developed by application of refinement laws that allow design decisions to be made, local state to be introduced, and the decomposition of systems into pipelined and/or parallel processes.