+(0, y) → y
+(s(x), y) → s(+(x, y))
+(s(x), y) → +(x, s(y))
↳ QTRS
↳ DependencyPairsProof
+(0, y) → y
+(s(x), y) → s(+(x, y))
+(s(x), y) → +(x, s(y))
+1(s(x), y) → +1(x, s(y))
+1(s(x), y) → +1(x, y)
+(0, y) → y
+(s(x), y) → s(+(x, y))
+(s(x), y) → +(x, s(y))
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
+1(s(x), y) → +1(x, s(y))
+1(s(x), y) → +1(x, y)
+(0, y) → y
+(s(x), y) → s(+(x, y))
+(s(x), y) → +(x, s(y))
The following pairs can be oriented strictly and are deleted.
The remaining pairs can at least be oriented weakly.
+1(s(x), y) → +1(x, y)
Used ordering: Polynomial interpretation [25,35]:
+1(s(x), y) → +1(x, s(y))
The value of delta used in the strict ordering is 1.
POL(s(x1)) = 1/4 + x_1
POL(+1(x1, x2)) = (4)x_1 + (4)x_2
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
↳ QDP
↳ QDPOrderProof
+1(s(x), y) → +1(x, s(y))
+(0, y) → y
+(s(x), y) → s(+(x, y))
+(s(x), y) → +(x, s(y))
The following pairs can be oriented strictly and are deleted.
The remaining pairs can at least be oriented weakly.
+1(s(x), y) → +1(x, s(y))
The value of delta used in the strict ordering is 12.
POL(s(x1)) = 4 + x_1
POL(+1(x1, x2)) = (4)x_1 + x_2
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
↳ QDP
↳ QDPOrderProof
↳ QDP
↳ PisEmptyProof
+(0, y) → y
+(s(x), y) → s(+(x, y))
+(s(x), y) → +(x, s(y))