In logic a Hilbert calculus, sometimes called Hilbert system, Hilbert-style deductive system or Hilbert–Ackermann system, is a type of system of formal deduction attributed to Gottlob Frege and David Hilbert. These deductive systems are most often studied for propositional and first-order logic.
Questions tagged [hilbert-calculus]
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Translation rules in Hilbert Calculus
I am trying to prove the fact $A \supset B, A \supset C \vdash A \supset (B \land C)$ in a hilbert-type system. However, I am struggling to find a translation rule for $B \land C$.
Citing from my textbook:
We introduce other connectives [besides…
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Need help with Hilbert-style proof.
Given ¬q and (¬p⇒(¬q⇒¬r)), prove (r⇒p).
Do any of you know how to do this? I appreciate whatever help you can provide me.
Thank you!
