The purpose of these notes is to present an up to date status report of a program for non-perturbative, canonical quantization of gravity in 3+1 dimensions. A number of the key ideas in the program were developed just prior to and during a six-month workshop on quantum gravity held at the Institute of Theoretical Physics at Santa Barbara during the first half of 1986. The early developments in this area were reported in a monograph entitled New Perspectives in Canonical
Gravity, published by Bibliopolis in 1988.