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HOL Users' Group Workshop

HUG 1993: Higher Order Logic Theorem Proving and Its Applications pp 1–15Cite as

Program verification using HOL-UNITY

Part of the Lecture Notes in Computer Science book series (LNCS,volume 780)

Abstract

HOL-UNITY is an implementation of Chandy and Misra's UNITY theory in the HOL88 and HOL90 theorem provers. This paper shows how to verify safety and progress properties of concurrent programs using HOL-UNITY. As an example it is proved that a lift-control program satisfies a given progress property. The proof is compositional and partly automated. The progress property is decomposed into basic safety and progress properties, which are proved automatically by a developed tactic based on a combination of Gentzen-like proof methods and Pressburger decision procedures. The proof of the decomposition which includes induction is done mechanically using the inference rules of the UNITY logic implemented as theorems in HOL. The paper also contains some empirical results of running the developed tactic in HOL88 and HOL90, respectively. It turns out that HOL90 in average is about 9 times faster than HOL88. Finally, we discuss various ways of improving the tactic.

Keywords

  • Inference Rule
  • High Order Logic
  • Program Verification
  • Unity Program
  • Exit Node

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  • DOI: 10.1007/3-540-57826-9_121
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Authors and Affiliations

  1. Tele Danmark Research, Lyngsø Allé 2, DK-2970, Hørsholm

    Flemming Andersen, Kim Dam Petersen & Jimmi S. Pettersson

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  1. Flemming Andersen
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  2. Kim Dam Petersen
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  3. Jimmi S. Pettersson
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    © 1994 Springer-Verlag Berlin Heidelberg

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    Andersen, F., Petersen, K.D., Pettersson, J.S. (1994). Program verification using HOL-UNITY. In: Joyce, J.J., Seger, CJ.H. (eds) Higher Order Logic Theorem Proving and Its Applications. HUG 1993. Lecture Notes in Computer Science, vol 780. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-57826-9_121

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    • DOI: https://doi.org/10.1007/3-540-57826-9_121

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    • Publisher Name: Springer, Berlin, Heidelberg

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