Certification Problem

Input (TPDB SRS_Standard/Zantema_04/z062)

The rewrite relation of the following TRS is considered.

b(c(a(b(b(c(x1)))))) a(b(c(b(b(c(a(x1))))))) (1)

Property / Task

Prove or disprove termination.

Answer / Result

Yes.

Proof (by AProVE @ termCOMP 2023)

1 String Reversal

Since only unary symbols occur, one can reverse all terms and obtains the TRS
c(b(b(a(c(b(x1)))))) a(c(b(b(c(b(a(x1))))))) (2)

1.1 Bounds

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