Trustworthy Systems

Complete integer decision procedures as derived rules in HOL


Michael Norrish



I describe the implementation of two complete decision procedures for integer Presburger arithmetic in the HOL theorem-proving system. The first procedure is Cooper’s algorithm, the second, the Omega Test. Between them, the algorithms illustrate three different implementation techniques in a fully expansive system.

BibTeX Entry

    address          = {Rome},
    author           = {Norrish, Michael},
    booktitle        = {International Conference on Theorem Proving in Higher Order Logics},
    editor           = {{D. Basin and B. Wolff}},
    isbn             = {978-3-540-40664-8},
    month            = sep,
    pages            = {71--86},
    paperurl         = {},
    publisher        = {Springer},
    slides           = {},
    title            = {Complete Integer Decision Procedures as Derived Rules in {HOL}},
    year             = {2003}