average(s(x), y) → average(x, s(y))
average(x, s(s(s(y)))) → s(average(s(x), y))
average(0, 0) → 0
average(0, s(0)) → 0
average(0, s(s(0))) → s(0)
↳ QTRS
↳ DependencyPairsProof
average(s(x), y) → average(x, s(y))
average(x, s(s(s(y)))) → s(average(s(x), y))
average(0, 0) → 0
average(0, s(0)) → 0
average(0, s(s(0))) → s(0)
AVERAGE(s(x), y) → AVERAGE(x, s(y))
AVERAGE(x, s(s(s(y)))) → AVERAGE(s(x), y)
average(s(x), y) → average(x, s(y))
average(x, s(s(s(y)))) → s(average(s(x), y))
average(0, 0) → 0
average(0, s(0)) → 0
average(0, s(s(0))) → s(0)
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
AVERAGE(s(x), y) → AVERAGE(x, s(y))
AVERAGE(x, s(s(s(y)))) → AVERAGE(s(x), y)
average(s(x), y) → average(x, s(y))
average(x, s(s(s(y)))) → s(average(s(x), y))
average(0, 0) → 0
average(0, s(0)) → 0
average(0, s(s(0))) → s(0)
The following pairs can be oriented strictly and are deleted.
The remaining pairs can at least be oriented weakly.
AVERAGE(x, s(s(s(y)))) → AVERAGE(s(x), y)
Used ordering: Polynomial interpretation [25,35]:
AVERAGE(s(x), y) → AVERAGE(x, s(y))
The value of delta used in the strict ordering is 1/1.
POL(AVERAGE(x1, x2)) = (2)x_1 + (2)x_2
POL(s(x1)) = 1/4 + x_1
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
↳ QDP
↳ QDPOrderProof
AVERAGE(s(x), y) → AVERAGE(x, s(y))
average(s(x), y) → average(x, s(y))
average(x, s(s(s(y)))) → s(average(s(x), y))
average(0, 0) → 0
average(0, s(0)) → 0
average(0, s(s(0))) → s(0)
The following pairs can be oriented strictly and are deleted.
The remaining pairs can at least be oriented weakly.
AVERAGE(s(x), y) → AVERAGE(x, s(y))
The value of delta used in the strict ordering is 12.
POL(AVERAGE(x1, x2)) = (4)x_1 + x_2
POL(s(x1)) = 4 + x_1
↳ QTRS
↳ DependencyPairsProof
↳ QDP
↳ QDPOrderProof
↳ QDP
↳ QDPOrderProof
↳ QDP
↳ PisEmptyProof
average(s(x), y) → average(x, s(y))
average(x, s(s(s(y)))) → s(average(s(x), y))
average(0, 0) → 0
average(0, s(0)) → 0
average(0, s(s(0))) → s(0)