Post's Correspondence Problem (PCP)
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But ,

          

is a solution to the PCP. Hence the same string of terminals has two derivations. Both these derivations are, clearly, leftmost. Hence G is ambiguous.

If It is important to note that any string of terminals cannot have more than one derivation in and Because, every terminal string which are derivable under these grammars ends with a sequence of integers This sequence uniquely determines which productions must be used at every step of the derivation.

Hence, if a terminal string, , has two leftmost derivations, then one of them must begin with the step.

and thus continues with derivation under , and the other must begin with the step and then continues with derivations under .

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