YES Termination Proof

Termination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

a(b(a(a(x0)))) c(b(a(b(a(x0)))))
a(c(b(x0))) a(a(b(c(b(a(x0))))))

Proof

1 String Reversal

Since only unary symbols occur, one can reverse all terms and obtains the TRS
a(a(b(a(x0)))) a(b(a(b(c(x0)))))
b(c(a(x0))) a(b(c(b(a(a(x0))))))

1.1 Bounds

The given TRS is match-bounded by 1. This is shown by the following automaton.