Certificate for #4427 ⟨a, b | aaaabaaa=baa⟩

Completion settings:

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

Axiom: aaaabaaa=baa.

Referenced by [3].

Axiom: baa=c.

Defines rule #5.

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

Simplify [1] aaaabaaa=baa.

Reduce RHS:

Referenced by [4].

Overlap of [3] aaaabaaa=c with [2] baa=c:

Critical pair: aaaaca=c.

Defines rule #2.

Referenced by [5], [6], [7].

Overlap of [2] baa=c with [4] aaaaca=c:

Critical pair: bc=caaca.

Defines rule #3.

Overlap of [2] baa=c with [4] aaaaca=c:

Critical pair: bac=caaaca.

Defines rule #4.

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

Critical pair: aaaacc=caaaca.

Defines rule #1.