A formal verification method of Laplace transform based on Coq

A technology of Laplace transform and formal verification, applied in the field of formal verification, can solve problems such as inability to accurately verify Laplace transform, and achieve the effect of avoiding errors
CN109543136AInactive Publication Date: 2019-03-29NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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Patent Information

Authority / Receiving Office
CN Β· China
Patent Type
Applications(China)
Current Assignee / Owner
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
Publication Date
2019-03-29
Estimated Expiration
Not applicable Β· inactive patent

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Abstract

The invention discloses a formal verification method of Laplace transform based on Coq, which formally defines the Laplace transform in the theorem prover Coq and verifies the main properties of the Laplace transform. As that theorem prove Coq is precise and reliable, the method solves the disadvantage that the traditional method cannot accurately verify the Laplace transform. the method mainly includes the following steps: (1) The definition of Laplace transform is formalized by using the theories of differential, integral, limit, complex number and complex variable function in theorem proverCoq; (2) the formalization of the existence theorem of Laplace transform: the formalization of the existence theorem of Laplace transform; (3) The formal proof of the basic properties of Laplace transform: The linear properties, frequency shift properties, differential properties and integral properties of Laplace transform are formally proved in Coq theorem prover.
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Description

technical field

[0001] The invention discloses a Coq-based Laplace transformation formal verification, which is mainly used for the verification of safety-critical control systems. The invention belongs to the field of formal verification, and is a safety and reliability verification method based on a theorem prover. Background technique

[0002] The scale of modern embedded software is getting larger and larger, and traditional software testing techniques are difficult to guarantee the correctness of system functions. On the other hand, the loopholes of the system provide opportunities for hackers to intrude, seriously affecting the security of the system. This situation makes the information industry rethink traditional software development methods, so various formal methods and model-based methods are introduced into the software development process, a typical example is the use of SCADE systems for modeling, development and verification of flight control software. Alt...

Claims

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