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A formal proof of the deadline driven scheduler in PPTL axiomatic system. (English) Zbl 1360.68771
Summary: This paper presents an approach for verifying the correctness of the feasibility theorem on the deadline driven scheduler (DDS) with the axiom system of Propositional Projection Temporal Logic (PPTL). To do so, the deadline driven scheduling algorithm is modeled by an MSVL (Modeling, Simulation and Verification Language) program and the feasibility theorem is formulated by PPTL formulas with two parts: a necessary part and a sufficient part. Then, several lemmas are abstracted and proved by means of the axiom system of PPTL. With the help of the lemmas, two parts of the theorem are deduced respectively. This case study convinces us that some real-time properties of systems can be formally verified by theorem proving using the axiom system of PPTL.

##### MSC:
 68T15 Theorem proving (deduction, resolution, etc.) (MSC2010) 03B44 Temporal logic 68M20 Performance evaluation, queueing, and scheduling in the context of computer systems 68N30 Mathematical aspects of software engineering (specification, verification, metrics, requirements, etc.) 68Q60 Specification and verification (program logics, model checking, etc.) 68Q85 Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.)
##### Software:
ACL2; CESAR; SPIN; PVS
Full Text:
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