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Journals ACM SIGDA Newsletter Volume 5 Issue 3

A simple method of converting statements in mathematical logic to equivalent interconnection problems is demonstrated. This shows that if there exists a practical method for solving interconnection problems, then there exists a practical proof procedure for statements in mathematical logic. (In the terminology of Cook 1 and Karp 4, the interconnection problem is NP-complete.) Since such a procedure has been sought for without success for almost 100 years, we should not expect the interconnection problem to be any easier. This holds equally true for finding a method which will route a given percentage of wires.

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The equivalence of theorem proving and the interconnection problem

Lynch, James F.
ACM SIGDA Newsletter , Volume 5 (3)
Association for Computing Machinery – Sep 1, 1975

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