Certificate for #2264 ⟨a, b | aabbaba=abb⟩

Completion settings:

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

Axiom: aabbaba=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #4.

Referenced by [3], [4], [5].

Simplify [1] aabbaba=abb.

Reduce RHS:

Referenced by [4].

Overlap of [3] aabbaba=c with [2] abb=c:

Critical pair: acaba=c.

Defines rule #2.

Referenced by [5], [6].

Overlap of [4] acaba=c with [2] abb=c:

Critical pair: acabc=cbb.

Flip LHS and RHS.

Referenced by [7].

Overlap of [4] acaba=c with [4] acaba=c:

Critical pair: acabc=ccaba.

Defines rule #1.

Referenced by [7].

Simplify [5] cbb=acabc.

Reduce RHS:

Defines rule #3.