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Math Help - First order Logic

  1. #1
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    First order Logic


    For the above set:
    a)Find an interpretation A of T ,with Domain the set |A|={a,b,c} ,which is model of T.In the interpretation at the constant a is assigned a, at the constant b is assigned b, at the constant c is assigned c.

    b)Find an interpretation A of T ,with Domain the set |A|={a,b,c} ,which is NOT model of T.In the interpretation at the constant a is assigned a, at the constant b is assigned b,
    at the constant c is assigned c.
    Moreover it must be \preca,b \succ P^A and \precb,c \succ P^A.

    c)Find an interpretation A_1 of T ,with Domain the set | A_1|={0} ,which is model of T.Find also an interpretation A_2of T ,with Domain the set | A_2|={0} ,which is NOT model of T. For A_2 it must be \prec0 \succ P^_A_2.
    Thank you..


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  2. #2
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    I'll start you off.

    For (a), I believe you can let P be < and let R be \leq.
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  3. #3
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    In c) it should probably say, "For A_2, it must be \langle 0,0\rangle\in P^{A_2}" since P is a binary predicate.
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