Certificate for #1747 ⟨a, b, c | aab=cb, abb=1⟩

Completion settings:

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

Axiom: aab=cb.

Referenced by [3], [5].

Axiom: abb=1.

Referenced by [3], [4].

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

Critical pair: a=cbb.

Defines rule #3.

Referenced by [4], [5].

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

Critical pair: cbbbb=1.

Defines rule #1.

Overlap of [1] aab=cb with [3] a=cbb:

Critical pair: cbbab=cb.

Reduce LHS:

Defines rule #2.