Verifying Hybrid Systems Involving Transcendental Functions

  • Paul Jackson
  • Andrew Sogokon
  • James Bridge
  • Lawrence Paulson
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8430)

Abstract

We explore uses of a link we have constructed between the KeYmaera hybrid systems theorem prover and the MetiTarski proof engine for problems involving special functions such as sin, cos, exp, etc. Transcendental functions arise in the specification of hybrid systems and often occur in the solutions of the differential equations that govern how the states of hybrid systems evolve over time. To date, formulas exchanged between KeYmaera and external tools have involved polynomials over the reals, but not transcendental functions, chiefly because of the lack of tools capable of proving such goals.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Paul Jackson
    • 1
  • Andrew Sogokon
    • 1
  • James Bridge
    • 2
  • Lawrence Paulson
    • 2
  1. 1.School of InformaticsUniversity of EdinburghUK
  2. 2.Computer LaboratoryUniversity of CambridgeUK

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