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CHAPTER  10 / BASIC TECHNOLOGY OF THE INTELLIGENT COMMUNICATION SYSTEM  I I 3
            Example  2:











            Example  3:



            Example  4:


            A logical  expression  is true, false, or true or false. A logical expression  with
        value "T" is called a tautology and is valid. A logical  expression  with value "F' is
        a contradiction  and is unsatisfactory. A logical expression  of value "T" or "F" is
        satisfactory.

        10.3.3 Evaluation of a Logical Expression by Means
              of a Semantic Tree
        Consider the logical  expression  P composed of atomic formulas p {, p 2, p n.  P can
        be represented  asP(p ltp 2,...,p n).
            An evaluation method in which both "T" and "F" are assigned to each atomic
        formula is the semantic tree method:









        In this method, an evaluation proceeds  in finite steps by assigning'T' and "F' to
        each atomic formula. Some examples  follow.
            Example  1:











        This expression  is a tautology and is valid.
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