Certificate for #5336 ⟨a, b | abaabba=bbab⟩

Completion settings:

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

Axiom: abaabba=bbab.

Referenced by [3].

Axiom: bbab=c.

Defines rule #4.

Referenced by [3], [4], [5], [6].

Simplify [1] abaabba=bbab.

Reduce RHS:

Defines rule #5.

Referenced by [5], [6].

Overlap of [2] bbab=c with [2] bbab=c:

Critical pair: bbac=cbab.

Defines rule #3.

Overlap of [3] abaabba=c with [2] bbab=c:

Critical pair: abaac=cb.

Defines rule #1.

Overlap of [2] bbab=c with [3] abaabba=c:

Critical pair: bbc=caabba.

Defines rule #2.