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Processing Boolean Equalities and Inequalities

By Jayadev Misra


Given a set of boolean variables, and a set of equalities and inequalities among those variables (called “facts”), it is required to determine the relationship, if any, among pairs of variables (called “queries”). We consider two versions of this problems, one when the queries are given after all the facts have been presented (off-line) and when the queries and facts are intermingled (on-line). For the off-line version we give a linear algorithm, and for the on-line version a quasi-linear one by modifying the well known union-find algorithm

Year: 2011
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