determine if intersection of a set with conjunction of two other sets is empty

Posted by koen on Stack Overflow See other posts from Stack Overflow or by koen
Published on 2010-04-13T18:31:08Z Indexed on 2010/04/13 18:33 UTC
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set-theory

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sets

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specifications

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algorithm

For any three given sets A, B and C: is there a way to determine (programmatically) whether there is an element of A that is part of the conjunction of B and C?

example:
A: all numbers greater than 3
B: all numbers lesser than 7
C: all numbers that equal 5

In this case there is an element in set A, being the number 5, that fits. I'm implementing this as specifications, so this numerical range is just an example. A, B, C could be anything.

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