Journal
QUALITY & QUANTITY
Volume 44, Issue 1, Pages 99-113Publisher
SPRINGER
DOI: 10.1007/s11135-008-9183-x
Keywords
Qualitative comparative analysis; Boolean minimization; Computer algorithms; Small-N research
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Any minimization problem involves a computer algorithm. Many such algorithms have been developed for the boolean minimizations, in diverse areas from computer science to social sciences (with the famous QCA algorithm). For a small number of entries (causal conditions in the QCA) any such algorithm will find a minimal solution, especially with the aid of the modern computers. However, for a large number of conditions a quick and complete solution is not easy to find using an algorithmic approach, due to the extremely large space of possible combinations to search in. In this article I will demonstrate a simple alternative solution, a mathematical method to obtain all possible minimized prime implicants. This method is not only easier to understand than other complex algorithms, but it proves to be a faster method to obtain an exact and complete boolean solution.
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