Need Help

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Need Help
Hi,

I dont understand the first step in the transformation to CNF for resolution calculus on excercise 9.2 (assignments):

-see screenshot in attachment !-

How can I remove the v here? Or how can i use vF?

Ty for your help:)

Attachment:
cnf.PNG: https://fsi.cs.fau.de/unb-attachments/post_163363/cnf.PNG


Just do it the Gloin way / Freestyle. I hope that’s allowed in the exam, I think it is since the prof cares more about concepts than syntax

A CNF means big AND outside and OR’s inside the clause.

So …; …; …; actually means … and … and …

And if you want to NOT have A or B or C then you need to have NOT A AAAAND NOT B AAAAAND NOT C.

Also OR is associative (That means you can remove and add brackets as you wish. Like you can do X + Y + Z = (X + Y) + Z in Math. That’s why you get those two single literals)

Does this help?


Yes thank you !

I think i will do it the gloin way and hope it doenst matter which “style” we use, if the result of the CNF is the same in the end.

I just got confused with the upper big F/T f.e. (P v Q)F…
You think we can use the negate sign “¬” ? → ¬(P v Q)


I think not if we’re asked to use this CNF calculus. But that would be pretty annoying thing to ask. I really hope that we don’t need to annotate all those stupid rules we’ll forget after the exam anyway…


See https://fsi.cs.fau.de/forum/post/163197


If you want to do everything “by the book”, recall that the first order CNF-transformation calculus also contains all of the rules from the propositional calculus. These are being applied here. Check slides 329-331 for the details.