Counting Boolean
Parenthesizations<http://people.csail.mit.edu/bdean/6.046/dp/>.
You are given a boolean expression consisting of a string of the symbols
'true', 'false', 'and', 'or', and 'xor'. Count the number of ways to
parenthesize the expression such that it will evaluate to true. For example,
there is only 1 way to parenthesize 'true and false xor true' such that it
evaluates to true.

http://codepad.org/gCSRe9m8.


Is the above logic correct?

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