Formalized Symbolic Logics


Clausal Form

Q. Convert the following into clausal form:
$ x " y (" z P(f(x), y, z) à ($ u Q(x, u) & $ v R(y, v))) (Jan. 01)

After application of first step we get,
$ x " y (~ (" z) P(f(x), y, z) Ú ($ u Q(x, u) & $ v R(y, v))))

After application of second step we get,
$ x " y ($ z ~P(f(x), y, z) Ú ($ u Q(x, u) & $ v R(y, v)))

After application of fourth step (step 3 not required) we get,
" y (~P(f(a), y, g(y)) Ú (Q(a, h(y)) & R(y, I(y)))

After application of fifth step we get,
" y ((~P(f(a), y, g(y)) Ú Q(a, h(y)) & (~P(f(a), y, g(y)) Ú R(y, I(y)))

After application of sixth step we get,
~P(f(a), y, g(y)) Ú Q(a, h(y))
~P(f(a), y, g(y)) Ú R(y, I(y))

 
          AI Contents  
©Universal Teacher Publications Web: www.universalteacherpublications.com.