Proceedings 32nd Annual Symposium of Foundations of Computer Science (1991)
San Juan, Puerto Rico
Oct. 1, 1991 to Oct. 4, 1991
R.M. Verma , Dept. of Comput. Sci., Houston Univ., TX, USA
A general theory of using a congruence closure based simplifier (CCNS) proposed by P. Chew (1980) for computing normal forms is developed, and several applications are presented. An independent set of postulates is given, and it is proved that CCNS can be used for any system that satisfies them. It is then shown that CCNS can be used for consistent convergent systems and for various kinds of priority rewrite systems. A simple translation scheme for converting priority systems into effectively nonoverlapping convergent systems is presented.
translation scheme, equational systems, congruence closure based simplifier, normal forms, consistent convergent systems, priority rewrite systems
R. Verma, "A theory of using history for equational systems with applications,"  Proceedings 32nd Annual Symposium of Foundations of Computer Science(FOCS), San Juan, Puerto Rico, 1991, pp. 348-357.