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Trees

Trees. Trees for predicate logic can be constructed using the predicate logic rules. Trees. #x(Bx&Mx) $x(Mx>-Vx) -$x(Bx>Vx). #x(Bx&Mx) $x(Mx>-Vx) --$x(Bx>Vx). Trees. 1. #x(Bx&Mx) $x(Mx>-Vx) -$x(Bx>Vx). #x(Bx&Mx) $x(Mx>-Vx) --$x(Bx>Vx) $x(Bx>Vx). Trees. 1. 2. #x(Bx&Mx)

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Trees

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  1. Trees Trees for predicate logic can be constructed using the predicate logic rules.

  2. Trees #x(Bx&Mx) $x(Mx>-Vx) -$x(Bx>Vx) #x(Bx&Mx) $x(Mx>-Vx) --$x(Bx>Vx)

  3. Trees 1 #x(Bx&Mx) $x(Mx>-Vx) -$x(Bx>Vx) #x(Bx&Mx) $x(Mx>-Vx) --$x(Bx>Vx) $x(Bx>Vx)

  4. Trees 1 2 #x(Bx&Mx) $x(Mx>-Vx) -$x(Bx>Vx) #x(Bx&Mx) $x(Mx>-Vx) --$x(Bx>Vx) $x(Bx>Vx) Ba&Ma DO #O FIRST!

  5. Trees 1 2 3 4 #x(Bx&Mx) $x(Mx>-Vx) -$x(Bx>Vx) #x(Bx&Mx) $x(Mx>-Vx) --$x(Bx>Vx) $x(Bx>Vx) Ba&Ma Ma>-Va Ba>Va

  6. Trees 1 2 3 4 5 #x(Bx&Mx) $x(Mx>-Vx) -$x(Bx>Vx) #x(Bx&Mx) $x(Mx>-Vx) --$x(Bx>Vx) $x(Bx>Vx) Ba&Ma Ma>-Va Ba>Va Ba Ma

  7. Trees 1 2 3 4 5 6 #x(Bx&Mx) $x(Mx>-Vx) -$x(Bx>Vx) #x(Bx&Mx) $x(Mx>-Vx) --$x(Bx>Vx) $x(Bx>Vx) Ba&Ma Ma>-Va Ba>Va Ba Ma -Ma -Va *

  8. Trees 1 2 3 4 5 6 7 #x(Bx&Mx) $x(Mx>-Vx) -$x(Bx>Vx) #x(Bx&Mx) $x(Mx>-Vx) --$x(Bx>Vx) $x(Bx>Vx) Ba&Ma Ma>-Va Ba>Va Ba Ma -Ma -Va * -Ba Va * *

  9. Another Proof 1) $x(Sx>Ix) A 2) $x(Ix>-Ex) A -#x(Sx&Ex) GOAL

  10. Another Proof 1) $x(Sx>Ix) A 2) $x(Ix>-Ex) A 3) #x(Sx&Ex) PA ?&-? ?,? &I -#x(Sx&Ex) 3-? -I

  11. Another Proof 1) $x(Sx>Ix) A 2) $x(Ix>-Ex) A 3) #x(Sx&Ex) PA 4) Sa&Ea 3 #O ?&-? ?,? &I -#x(Sx&Ex) 3-? -I DO #O FIRST.

  12. Another Proof 1) $x(Sx>Ix) A 2) $x(Ix>-Ex) A 3) #x(Sx&Ex) PA 4) Sa&Ea 3 #O 5) Sa>Ia 1 $O 6) Ia>-Ea 2 $O ?&-? ?,? &I -#x(Sx&Ex) 3-? -I

  13. Another Proof 1) $x(Sx>Ix) A 2) $x(Ix>-Ex) A 3) #x(Sx&Ex) PA 4) Sa&Ea 3 #O 5) Sa>Ia 1 $O 6) Ia>-Ea 2 $O 7) Sa 4 &O 8) Ea 4 &O ?&-? ?,? &I -#x(Sx&Ex) 3-? -I

  14. Another Proof 1) $x(Sx>Ix) A 2) $x(Ix>-Ex) A 3) #x(Sx&Ex) PA 4) Sa&Ea 3 #O 5) Sa>Ia 1 $O 6) Ia>-Ea 2 $O 7) Sa 4 &O 8) Ea 4 &O 9) Ia 5,7 >O 10) -Ea 6,9 >O ?&-? ?,? &I -#x(Sx&Ex) 3-? -I

  15. Another Proof 1) $x(Sx>Ix) A 2) $x(Ix>-Ex) A 3) #x(Sx&Ex) PA 4) Sa&Ea 3 #O 5) Sa>Ia 1 $O 6) Ia>-Ea 2 $O 7) Sa 4 &O 8) Ea 4 &O 9) Ia 5,7 >O 10) -Ea 6,9 >O 11) Ea&-Ea 8,10 &I -#x(Sx&Ex) 3-11 -I

  16. Another Proof 1) $x(Sx>Ix) A 2) $x(Ix>-Ex) A 3) #x(Sx&Ex) PA 4) Sa&Ea 3 #O 5) Sa>Ia 1 $O 6) Ia>-Ea 2 $O 7) Sa 4 &O 8) Ea 4 &O 9) Ia 5,7 >O 10) -Ea 6,9 >O 11) Ea&-Ea 8,10 &I -#x(Sx&Ex) 3-11 -I Now try this one with a tree. For more click here

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