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Quarterly published in print and online "Inventi Rapid: Computational Mathematics" publishes high quality unpublished as well as high impact pre-published research and reviews catering to the needs of mathematicians and professional engineers. The journal is interdisciplinary and deals with multiple aspects of computation mathematics including numerical methods, algorithms, numerical logics, number theory, algebraic calculations and computational statistics.
This paper is a continuation of an earlier work published by the author in IETE Journal of Education in 2021. It considers the establishment of the theoretical proof of each of the five novel theorems in relation to multiple fault detection in combinational network, which have only been enunciated in the earlier work along with their applications for the generation of complete test sets for various kinds of multiple fault in combinational logic circuit. Now that the proofs are too mathematical and they do not have any link to reality for an engineering journal, the author refrains from getting them published along with the earlier work with the expectation that they would be more suitable for a mathematical journal. The approach adopted for the establishment of the theoretical proofs of the relevant theorems will enhance the level of understanding of Boolean algebra as well as its application to multiple fault analysis in combinational logic circuit and at the same time the accomplishment of the rigorous proofs of the theorems offered earlier in relation to generation of complete test sets for various kinds of multiple fault in a combinational network will give the earlier work a complete shape along with a strong foundational platform as a result of which the readership will also be benefited....
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