RISC JKU

Prove:

        (fg)    [Graphics:Images/fg-circle-sum_gr_1.gif],

under the assumptions:

        (d+)    [Graphics:Images/fg-circle-sum_gr_2.gif],

        (c+)    [Graphics:Images/fg-circle-sum_gr_3.gif].

For proving (fg) we take all variables arbitrary but fixed and prove:

        (1)    [Graphics:Images/fg-circle-sum_gr_4.gif].

Proving (1) by contradiction fails.

We assume

        (2)    [Graphics:Images/fg-circle-sum_gr_5.gif],

and show [Graphics:Images/fg-circle-sum_gr_6.gif]

The proof of (a contradiction) fails.(The PND was unable to transform the proof situation.)


Converted by Mathematica      February 11, 2000