Certificate for #1114 ⟨a, b | abaaba=abb⟩

Completion settings:

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

Axiom: abaaba=abb.

Referenced by [3].

Axiom: abb=c.

Defines rule #2.

Referenced by [3], [6].

Simplify [1] abaaba=abb.

Reduce RHS:

Defines rule #3.

Referenced by [4], [5], [6].

Overlap of [3] abaaba=c with [3] abaaba=c:

Critical pair: abac=caba.

Flip LHS and RHS.

Defines rule #1.

Overlap of [3] abaaba=c with [3] abaaba=c:

Critical pair: abaabc=cbaaba.

Flip LHS and RHS.

Defines rule #5.

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

Critical pair: abaabc=cbb.

Flip LHS and RHS.

Defines rule #4.