### /sandbox/mccune/otter-3.3/mace2_examples/Perl-examples

This directory contains an example of a Perl program that calls MACE. File Sheffer-mgi-without-mirrors contains Boolean algebra identities alpha=x in terms of the Sheffer stroke. Every such, identity of length <= 15, or its mirror image, is subsumed by a member of that file. The Perl program commute4_filter goes through a file of equations (one equation per line) and calls MACE for each, looking for a noncommutative model of size <= 4. If none exist, the equation is printed. The command commute4_filter < Sheffer-mgi-without-mirrors > candidates should produce 25 candidates. NOTE: You might have to edit commute4_filter to point it at the mace binary.

These activities are projects of the Mathematics and Computer Science Division of Argonne National Laboratory.