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Found one definition

  1.                 From The Free On-line Dictionary of Computing (19 January 2023):
                    

    HOL

    Higher Order Logic. A proof-generating system for higher order logic based on LCF. Implementations include HOL-88 and HOL-90.

    (ftp://ted.cs.uidaho.edu/pub/hol). Mailing list: info-hol@ted.cs.uidaho.edu.

    ["HOL: A Machine Oriented Formulation of Higher Order Logic", M.J.C. Gordon, Report 68, Comp Lab U Cambridge (1985)].

    ["Introduction to HOL", M.J.C. Gordon et al, Cambridge U Press 1993 ISBN 0-521-441897].