Certificate for #3626 ⟨a, b | aabbaaaaba=b⟩

Completion settings:

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

Axiom: aabbaaaaba=b.

Referenced by [3].

Axiom: aa=c.

Defines rule #5.

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

Overlap of [1] aabbaaaaba=b with [2] aa=c:

Critical pair: cbbaaaaba=b.

Reduce LHS:

Referenced by [5], [6].

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

Critical pair: ac=ca.

Flip LHS and RHS.

Defines rule #3.

Overlap of [3] cbbccba=b with [2] aa=c:

Critical pair: cbbccbc=ba.

Flip LHS and RHS.

Defines rule #4.

Referenced by [6].

Overlap of [3] cbbccba=b with [5] ba=cbbccbc:

Critical pair: cbbcccbbccbc=b.

Defines rule #1.

Referenced by [7].

Overlap of [6] cbbcccbbccbc=b with [6] cbbcccbbccbc=b:

Critical pair: cbbcccbbccbb=bbbcccbbccbc.

Flip LHS and RHS.

Defines rule #2.