01111nas a2200121 4500008004100000245007700041210006900118260001200187520070300199100001500902700003200917856004000949 1991 eng d00aOn the Relationship between Abductive Reasoning and Boolean Minimization0 aRelationship between Abductive Reasoning and Boolean Minimizatio bAAAI 913 aAbductive reasoning involves determining a parsimonious set of explanations that can account for a set of observations. In the Boolean minimization problem, the designer attempts to express a Boolean formula as a sum of products or product of sums expression of the smallest size that satisfies the desired function. In this paper, we show that independent abduction problem can be encoded as an instance of Boolean minimization problem, and conversely, a Boolean minimization problem as an abduction problem. We then consider the appli- cation of the transitivity results from the parsimo- nious covering theory to the Boolean minimization. We conclude with a brief comparison to the related work.1 aDasigi, V.1 aThirunarayan, Krishnaprasad uhttp://knoesis.wright.edu/node/1900