“…The system has been used in increasingly large applications in mathematics and programming, such as constructive versions of Girard's paradox (Howe, 1987), Higman's lemma (Murthy & Russell, 1990), abstract algebra (Jackson, 1994), verifications of a logic synthesis tool (Aagaard & Leeser, 1993) and of the SCI cache coherency protocol (Howe, 1996), and in our current work on communication systems (Kreitz et al, 1998;Hickey et al, 1999;Liu et al, 1999;Bickford et al, 2001c).…”