Certificate for #1772 ⟨a, b, c | aab=cc, abb=1⟩

Completion settings:

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

Axiom: aab=cc.

Referenced by [3], [5].

Axiom: abb=1.

Referenced by [3], [4].

Overlap of [1] aab=cc with [2] abb=1:

Critical pair: a=ccb.

Defines rule #3.

Referenced by [4], [5].

Overlap of [2] abb=1 with [3] a=ccb:

Critical pair: ccbbb=1.

Defines rule #1.

Overlap of [1] aab=cc with [3] a=ccb:

Critical pair: ccbab=cc.

Reduce LHS:

Defines rule #2.