Certificate for #1843 ⟨a, b | aaaaabba=ab⟩

Completion settings:

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

Axiom: aaaaabba=ab.

Referenced by [3].

Axiom: abb=c.

Referenced by [3], [4].

Overlap of [1] aaaaabba=ab with [2] abb=c:

Critical pair: aaaaca=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4], [5].

Overlap of [2] abb=c with [3] ab=aaaaca:

Critical pair: aaaacab=c.

Reduce LHS:

Defines rule #2.

Referenced by [5], [6].

Overlap of [4] aaaacaaaaca=c with [3] ab=aaaaca:

Critical pair: aaaacaaaacaaaaca=cb.

Reduce LHS:

Flip LHS and RHS.

Defines rule #4.

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

Critical pair: aaaacc=caaaca.

Defines rule #1.