Abstract
Exchange symmetry is used to eliminate explicit reference to physically indistinguishable channels in the Baer, Kouri, Levin, and Tobocman coupled-equations nuclear reaction formalism. The resulting equations are similar in structure to the original ones except they are fewer in number and the interactions have a more complex structure. The reduction procedure presented here differs from an earlier one by Tobocman in that it preserves the kernel connectivity property of the original Baer-Kouri-Levin-Tobocman coupled integral equations.