  The IPR system proves theorems in mathematics by <a href="http://www.ma.utexas.edu/users/bshults/IPR/knowledge-using.html">using a knowledge base</a> of theorems, axioms and definitions.  Rather than applying all of its knowledge systematically, the IPR prover picks a single bit of information at a time according to its determination of the current usefulness of the information.<p>
