By Naijun Zhan, Shuling Wang, Hengjun Zhao
This booklet offers a state of the art method for formal verification of continuous-time Simulink/Stateflow diagrams, that includes an expressive hybrid approach modelling language, a robust specification good judgment and deduction-based verification strategy, and a few outstanding, real looking case reviews. Readers will examine the HCSP/HHL-based deductive process and using corresponding instruments for formal verification of Simulink/Stateflow diagrams. they are going to additionally achieve a few uncomplicated rules approximately basic components of formal tools resembling formal syntax and semantics, and particularly the typical ideas utilized in formal modelling and verification of hybrid platforms. via investigating the winning case experiences, readers will become aware of how one can follow the natural conception and strategies to genuine purposes, and expectantly can be encouraged to begin to exploit the proposed technique, or maybe enhance their very own formal tools of their destiny work.
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Additional resources for Formal Verification of Simulink/Stateflow Diagrams: A Deductive Approach
Sample text
Readers are referred to Chap. 10 for the formal semantics of the subsystems. 7 Signal Attributes The IC block sets the value of the signal at its output port to a user specified value at initial time t D 0, and then outputs its input. 8 Signal Routing The Switch block passes through the first input or the third input based on the user specified condition on the second input. It outputs the first input when the condition satisfies and outputs the third input otherwise. The Multiport Switch block chooses between a number of inputs.
Q/. P2 / D fx1 ; : : : ; xn g, then we say P2 refines P1 , or P2 is a refinement of P1 , denoted by P1 v P2 , if and only if 8x1 ; : : : ; xn :P2 ) P1 . © Springer International Publishing AG 2017 N. 1007/978-3-319-47016-0_3 31 32 3 Unifying Theories of Programming (UTP) In UTP, programs and their specifications all are represented as alphabetized relations between initial and final observations. :b ^ Q/: Informally, P C b B Q means that if b, then P else Q. Q/. P v :b ^ R/ where ˇ stands for any Boolean function.
To verify differential equations, we use the concept differential invariants to characterize their properties without solving them [115]. For computing differential invariants, we have implemented an independent invariant generator, which will be called during the verification in HHL prover. The invariant generator integrates both the quantifier elimination and SOS-based methods for computing differential invariants of polynomial equations, and can also deal with nonpolynomial systems by transformation techniques we proposed in [116].