thesis.pdf [Aland orollari]

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Proof-checker
Holographic proof that
C’ is satisfied by
E(p(x)) and E(v)
E(p(x))
E(v)
check that satisfying assignment in proof
actually is this assignment.
check proof
C’ is satisfiable.
Theorem:
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1-y
2+2y 3+5y
7x-1
x+1
4x
1
0
0
1
1
2
0
4
2
2
-1
13
3
8
6
Checker provides:
one check
E(1-y)
E(2+2y) E(3+5y)
E(7x-1)
E(4x)
E(x+1)
E(6)
E(-1)
E(13)
E(0)
E(4)
E(8)
E(1)
E(2)
E(3)
Theorem (encoded):
p(x)(0,1,2) = (a,b,c)
Proof:
(7x-1)(0,1,2) = (-1,6,13)
Proof:
(4x)(0,1,2) = (0,4,8)
Proof:
(x+1)(0,1,2) = (1,2,3)
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