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Res(A)                A

                                  {¬, }, {¬, }, {¬,      }-

     {Γ,¬ xA,¬A[c/x]}                         {Γ,¬ xA}

╞A        ├A




     {p   (r q), (p r)      q, p r, p}
                                         . HORN

          p q, r→ q ├ (p→s) → (s         r)

p q, r→ q ╞ (p→s) → (s      r)

 x y(P(x)→ Q(y)) ├       xP(x)→       yQ(y)

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  • 1. Res(A) A {¬, }, {¬, }, {¬, }- {Γ,¬ xA,¬A[c/x]} {Γ,¬ xA} ╞A ├A {p (r q), (p r) q, p r, p} . HORN p q, r→ q ├ (p→s) → (s r) p q, r→ q ╞ (p→s) → (s r) x y(P(x)→ Q(y)) ├ xP(x)→ yQ(y)