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2013 Formalization of Linear Space Theory in the Higher-Order Logic Proving System
Jie Zhang, Danwen Mao, Yong Guan
J. Appl. Math. 2013(SI10): 1-6 (2013). DOI: 10.1155/2013/218492


Theorem proving is an important approach in formal verification. Higher-order logic is a form of predicate logic that is distinguished from first-order logic by additional quantifiers and stronger semantics. Higher-order logic is more expressive. This paper presents the formalization of the linear space theory in HOL4. A set of properties is characterized in HOL4. This result is used to build the underpinnings for the application of higher-order logic in a wider spectrum of engineering applications.


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Jie Zhang. Danwen Mao. Yong Guan. "Formalization of Linear Space Theory in the Higher-Order Logic Proving System." J. Appl. Math. 2013 (SI10) 1 - 6, 2013.


Published: 2013
First available in Project Euclid: 9 May 2014

zbMATH: 1315.03021
MathSciNet: MR3045431
Digital Object Identifier: 10.1155/2013/218492

Rights: Copyright © 2013 Hindawi

Vol.2013 • No. SI10 • 2013
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