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Questions related to mathematical logic and its use in computer science
1
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Can proof by contradiction work without the law of excluded middle?
When used to guarantee the truth of a formal statement, all proofs implicitly assume the consistency of the system that they're based in. This is because if the system is inconsistent, the entirety of …
4
votes
2
answers
2k
views
Simplest combination of logic gates to produce a given set of outputs
The "simplest" solution is the one which uses the fewest logic gates
The output of a logic gate may either be the output, or it may be an input to exactly one other logic gate. … Primary inputs themselves may go to more than one logic gate; it is only the output of a logic gate that may only be used once. …