On the Relationship between Abductive Reasoning and Boolean Minimization
Year: 1991
Type: article
Abstract: Abductive 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 application of the transitivity results from the parsimonious covering theory to the Boolean minimization. We conclude with a brief comparison to the related work.
Authors: Venu Dasigi, Krishnaprasad Thirunarayan
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W757542280