Certification Problem

Input (COPS 294)

The rewrite relation of the following conditional TRS is considered.

f(x) → x | x ≈ b
a → b

Property / Task

Prove or disprove confluence.

Answer / Result

Yes.

Proof (by ConCon @ CoCo 2020)

1 Almost-orthogonal

The given (extended) properly oriented, right-stable, oriented 3-CTRS is almost-orthogonal, since there are no conditional critical pairs.