Abstract
Scheduling are playing a key role in many real-time systems. The goal of this paper is to apply PAR and its transformation rules to formal specification and verification of real-time scheduling. We formally described three constraints for uniprocessor systems and five constraints for multiprocessor systems. Furthermore, an EDF (Earliest Deadline First) program, written in Apla abstract modelling language, could be automatically transformed to an executable program. Finally, correctness of the EDF program was formally verified by using new strategies of developing loop invariant in PAR and Dijkstra’s Weakest-Precondition theory. Formal specification of schedule constraints for real-time systems highlights PAR’s powerful descriptive ability. Development and verification an EDF scheduling algorithm embody the efficiency and reliability role of PAR Method and PAR Platform.
This work was funded by the National Nature Science Foundation of China (Grant No. 61462041, 61472167, 61662036, 61462039, 61762049, 61862033), the National Natural Science Foundation of Jiangxi Province (Grant No. 20171BAB202008, 20171BAB202013) and the Science and Technology Research Project of Jiangxi Province Educational Department (Grant No. GJJ160329, GJJ150349).
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You, Z., Cheng, Z., Xue, J., Hu, Q., Xie, W. (2019). Formal Specification and Verification for Real-Time Scheduling Based on PAR. In: Duan, Z., Liu, S., Tian, C., Nagoya, F. (eds) Structured Object-Oriented Formal Language and Method. SOFL+MSVL 2018. Lecture Notes in Computer Science(), vol 11392. Springer, Cham. https://doi.org/10.1007/978-3-030-13651-2_7
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