Certificate for #5765 ⟨a, b, c | aa=b, cbc=ab⟩

Completion settings:

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

Axiom: aa=b.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

Axiom: cbc=ab.

Reduce LHS:

[1]	c(b)c
	⇒ caac

Reduce RHS:

[1]	a(b)
	⇒ aaa

Defines rule #1.

Referenced by [3].

caa c caac

Critical pair: caaaaa=aaaaac.

Defines rule #2.