+(x, +(y, z)) → +(+(x, y), z)
+(*(x, y), +(x, z)) → *(x, +(y, z))
+(*(x, y), +(*(x, z), u)) → +(*(x, +(y, z)), u)
↳ QTRS
↳ DependencyPairsProof
+(x, +(y, z)) → +(+(x, y), z)
+(*(x, y), +(x, z)) → *(x, +(y, z))
+(*(x, y), +(*(x, z), u)) → +(*(x, +(y, z)), u)
+1(x, +(y, z)) → +1(x, y)
+1(*(x, y), +(*(x, z), u)) → +1(y, z)
+1(x, +(y, z)) → +1(+(x, y), z)
+1(*(x, y), +(*(x, z), u)) → +1(*(x, +(y, z)), u)
+1(*(x, y), +(x, z)) → +1(y, z)
+(x, +(y, z)) → +(+(x, y), z)
+(*(x, y), +(x, z)) → *(x, +(y, z))
+(*(x, y), +(*(x, z), u)) → +(*(x, +(y, z)), u)
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
+1(x, +(y, z)) → +1(x, y)
+1(*(x, y), +(*(x, z), u)) → +1(y, z)
+1(x, +(y, z)) → +1(+(x, y), z)
+1(*(x, y), +(*(x, z), u)) → +1(*(x, +(y, z)), u)
+1(*(x, y), +(x, z)) → +1(y, z)
+(x, +(y, z)) → +(+(x, y), z)
+(*(x, y), +(x, z)) → *(x, +(y, z))
+(*(x, y), +(*(x, z), u)) → +(*(x, +(y, z)), u)
The following pairs can be oriented strictly and are deleted.
The remaining pairs can at least be oriented weakly.
+1(x, +(y, z)) → +1(x, y)
+1(*(x, y), +(*(x, z), u)) → +1(y, z)
+1(x, +(y, z)) → +1(+(x, y), z)
+1(*(x, y), +(*(x, z), u)) → +1(*(x, +(y, z)), u)
+1(*(x, y), +(x, z)) → +1(y, z)
The value of delta used in the strict ordering is 16.
POL(*(x1, x2)) = 4 + (4)x_1 + (4)x_2
POL(+1(x1, x2)) = (4)x_2
POL(+(x1, x2)) = 4 + (4)x_1 + x_2
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
↳ QDP
↳ PisEmptyProof
+(x, +(y, z)) → +(+(x, y), z)
+(*(x, y), +(x, z)) → *(x, +(y, z))
+(*(x, y), +(*(x, z), u)) → +(*(x, +(y, z)), u)