P2.5.N: Let X,Y, Z be any three languages. Using the definition of language concatenation, write quantified expressions for the membership predicates of the languages (XnY)Z and XZNY Z. Are the two languages equal? Give a quantifier proof, or a counterexample. Do the same for the languages X(Y\ Z) and XY \ XZ.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.