YES

The TRS could be proven terminating. The proof took 10 ms.

The following DP Processors were used


Problem 1 was processed with processor DependencyGraph (3ms).

Problem 1: DependencyGraph



Dependency Pair Problem

Dependency Pairs

f#(x) → U01#(g(x), x)f#(x) → g#(x)

Rewrite Rules

f(x) → U01(g(x), x)U01(h(x), x) → x
g(x) → h(x)a → b

Original Signature

Termination of terms over the following signature is verified: f, g, b, a, h

Strategy

Context-sensitive strategy:
μ(T) = μ(b) = μ(a) = μ(a#) = ∅
μ(f) = μ(g) = μ(f#) = μ(U01) = μ(g#) = μ(U01#) = μ(h) = {1}


There are no SCCs!