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Formalization of Linear Space Theory in the Higher-Order Logic Proving System

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  • Jie Zhang
  • Danwen Mao
  • Yong Guan

Abstract

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, 2013. "Formalization of Linear Space Theory in the Higher-Order Logic Proving System," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-6, April.
    • Handle: RePEc:hin:jnljam:218492
    DOI: 10.1155/2013/218492
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