May 2024
Intermediate to advanced
332 pages
15h 45m
English
Content preview from Discrete Mathematics
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----------------------PROOF
METHODS
AND
INDUCTION
7
things change. Proofs are particularly important in computer science and electrical engineering. A good proof
is strong evidence that no bugs exist.
FALSE PROOFS
It is good to know how to find the false proofs.
If
a proof is written carefully, the problem is usually obvious. So false proofs get tricky when they are
also sloppy.
What can go wrong?
• Derivation
of
a new statement by an invalid deduction rule, such as A
=>
B , and A, therefore C !
This actually appeared in a famous Ph.D. thesis on linear logic. A Stanford student was able to
publish a
Ph.D. thesis based
on
his discovery ...
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