Published online by Cambridge University Press: 07 September 2011
To a first approximation, the negation as failure rule of inference is straightforward. Its name says it all:
to show that the negation of a sentence holds
try to show the sentence holds, and
if the attempt fails, then the negation holds.
But what does it mean to fail? Does it include infinite or only finite failure? To answer these questions, we need a better understanding of the semantics.
Consider, for example, the English sentence:
bob will go if no one goes
Ignore the fact that, if Bob were more normal, it would be more likely that bob will go if no one else goes. Focus instead on the problem of representing the sentence more formally as a logical conditional.
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