Certificate for #3433 ⟨a, b, c | ba=ab, ccc=a⟩

Completion settings:

Reduction order:
- Left-to-right recursive path with deg(b) = deg(c) = 0, b < c; deg(a) = 1

Axiom: ba=ab.

Referenced by [3].

Axiom: ccc=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

Simplify [1] ba=ab.

Reduce RHS:

[2]	(a)b
	⇒ cccb

Referenced by [4].

b a a

Critical pair: bccc=cccb.

Flip LHS and RHS.

Defines rule #1.