Technical reports

HOL
A proof generating system for higher-order logic

Mike Gordon

January 1987, 56 pages

DOI: 10.48456/tr-103

Abstract

HOL is a version of Robin Milner’s LCF theorem proving system for higher-order logic. It is currently being used to investigate: how various levels of hardware behaviour can be rigorously modelled; and how the resulting behavioural representations can be the basis for verification by mechanized formal proof.

This paper starts with a tutorial introduction to the meta-language ML. The version of higher-order logic implemented in the HOL system is then described. This is followed by an introduction to goal-directed proof with tactics and tacticals. Finally, there is a little example showing the system in action. This example illustrates how HOL can be used for hardware verification.

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BibTeX record

@TechReport{UCAM-CL-TR-103,
  author =	 {Gordon, Mike},
  title = 	 {{HOL : A proof generating system for higher-order logic}},
  year = 	 1987,
  month = 	 jan,
  url = 	 {https://www.cl.cam.ac.uk/techreports/UCAM-CL-TR-103.pdf},
  institution =  {University of Cambridge, Computer Laboratory},
  doi = 	 {10.48456/tr-103},
  number = 	 {UCAM-CL-TR-103}
}