Certificate for #3945 ⟨a, b | aaaabbbaa=ba⟩

Completion settings:

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

Axiom: aaaabbbaa=ba.

Referenced by [3].

Axiom: bbba=c.

Referenced by [3], [4].

Overlap of [1] aaaabbbaa=ba with [2] bbba=c:

Critical pair: aaaaca=ba.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4], [5].

Overlap of [2] bbba=c with [3] ba=aaaaca:

Critical pair: bbaaaaca=c.

Reduce LHS:

Defines rule #2.

Referenced by [5], [6].

Overlap of [3] ba=aaaaca with [4] aaaacaaaacaaaaca=c:

Critical pair: bc=aaaacaaaacaaaacaaaaca.

Reduce RHS:

Defines rule #4.

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

Critical pair: aaaacc=caaaca.

Defines rule #1.