Certificate for #2016 ⟨a, b | aabbbbba=ab⟩

Completion settings:

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

Axiom: aabbbbba=ab.

Referenced by [3].

Axiom: abbbbb=c.

Referenced by [3], [4].

Overlap of [1] aabbbbba=ab with [2] abbbbb=c:

Critical pair: aca=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4], [5].

Overlap of [2] abbbbb=c with [3] ab=aca:

Critical pair: acabbbb=c.

Reduce LHS:

Defines rule #2.

Referenced by [5], [6].

Overlap of [4] acacacacaca=c with [3] ab=aca:

Critical pair: acacacacacaca=cb.

Reduce LHS:

Flip LHS and RHS.

Referenced by [7].

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

Critical pair: acc=cca.

Flip LHS and RHS.

Defines rule #1.

Referenced by [7].

Simplify [5] cb=cca.

Reduce RHS:

Defines rule #4.