*CON* is just the reverse index of *EFFECTS*. For each constraint, it lists the originating node. The information recorded will be equivalent to *EFF-DEPS*, except that the constraints will not be made opposite:
*CON*
(CLAUSE-28 (NC (SENTENCE))) ((RELATION-20 0 0) (RELATION-20 1 0)) (%DEATH-1 (C (OMIT AGENT))) ((RELATION-20 0 0)) (%DEATH-1 (C (FORM GERUND))) ((RELATION-20 0 0)) (%DEATH-1 (C (FORM NOMINALIZE))) ((RELATION-20 1 0))
*CON* is used whenever the originating node of a constraint is needed.