A Case-Study in Timed Refinement: A Mine Pump
IEEE Transactions on Software Engineering - Special issue: specification and analysis of real-time systems
Introduction to HOL: a theorem proving environment for higher order logic
Introduction to HOL: a theorem proving environment for higher order logic
Model checking and abstraction
ACM Transactions on Programming Languages and Systems (TOPLAS)
A mean value calculus of durations
A classical mind
Using Z: specification, refinement, and proof
Using Z: specification, refinement, and proof
A Transformational approach to constraint relaxation of a time-driven simulation model
ISSS '00 Proceedings of the 13th international symposium on System synthesis
Symbolic Logic and Mechanical Theorem Proving
Symbolic Logic and Mechanical Theorem Proving
Machine-Checking the Timed Interval Calculus
AI '02 Proceedings of the 15th Australian Joint Conference on Artificial Intelligence: Advances in Artificial Intelligence
Elements of Mathematical Analysis in PVS
TPHOLs '96 Proceedings of the 9th International Conference on Theorem Proving in Higher Order Logics
Towards a Duration Calculus Proof Assistant in PVS
ProCoS Proceedings of the Third International Symposium Organized Jointly with the Working Group Provably Correct Systems on Formal Techniques in Real-Time and Fault-Tolerant Systems
An Extended Duration Calculus for Hybrid Real-Time Systems
Hybrid Systems
Development of Safety-Critical Real-Time Systems
SOFSEM '95 Proceedings of the 22nd Seminar on Current Trends in Theory and Practice of Informatics
Using PVS to Prove a Z Refinement: A Case Study
FME '97 Proceedings of the 4th International Symposium of Formal Methods Europe on Industrial Applications and Strengthened Foundations of Formal Methods
A Set-Theoretic Model for Real-Time Specification and Reasoning
MPC '98 Proceedings of the Mathematics of Program Construction
PVS: A Prototype Verification System
CADE-11 Proceedings of the 11th International Conference on Automated Deduction: Automated Deduction
A Complete Axiomatization of Interval Temporal Logic with Infinite Time
LICS '00 Proceedings of the 15th Annual IEEE Symposium on Logic in Computer Science
Defining Differentiation and Integration in Z
ICFEM '98 Proceedings of the Second IEEE International Conference on Formal Engineering Methods
Towards formal verification of analog designs
Proceedings of the 2004 IEEE/ACM International conference on Computer-aided design
Translating discrete-time simulink to lustre
ACM Transactions on Embedded Computing Systems (TECS)
Isabelle/HOL: a proof assistant for higher-order logic
Isabelle/HOL: a proof assistant for higher-order logic
Applying timed interval calculus to simulink diagrams
ICFEM'06 Proceedings of the 8th international conference on Formal Methods and Software Engineering
Tool for translating simulink models into input language of a model checker
ICFEM'06 Proceedings of the 8th international conference on Formal Methods and Software Engineering
The embedded systems design challenge
FM'06 Proceedings of the 14th international conference on Formal Methods
A verification system for interval-based specification languages
ACM Transactions on Software Engineering and Methodology (TOSEM)
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Simulink is popular in industry for modeling and simulating embedded systems. It is deficient to handle requirements of high-level assurance and timing analysis. Previously, we showed the idea of applying Timed Interval Calculus (TIC) to complement Simulink. In this paper, we develop machine-assisted proof support for Simulink models represented in TIC. The work is based on a generic theorem prover, Prototype Verification System (PVS). The TIC specifications of both Simulink models and requirements are transformed to PVS specifications automatically. Verification can be carried out at interval level with a high level of automation. Analysis of continuous and discrete behaviors is supported. The work enhances the applicability of applying TIC to cope with complex Simulink models.