Certificate for #4354 ⟨a, b | abbbaaaab=bb⟩

Completion settings:

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

Axiom: abbbaaaab=bb.

Referenced by [3].

Axiom: aaaa=c.

Defines rule #5.

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

Overlap of [1] abbbaaaab=bb with [2] aaaa=c:

Critical pair: abbbcb=bb.

Referenced by [5], [6], [7], [8], [9].

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

Critical pair: ac=ca.

Defines rule #3.

Overlap of [2] aaaa=c with [3] abbbcb=bb:

Critical pair: aaabb=cbbbcb.

Referenced by [6].

Overlap of [5] aaabb=cbbbcb with [3] abbbcb=bb:

Critical pair: aabb=cbbbcbbcb.

Referenced by [7].

Overlap of [6] aabb=cbbbcbbcb with [3] abbbcb=bb:

Critical pair: abb=cbbbcbbcbbcb.

Defines rule #4.

Referenced by [8], [9].

Overlap of [3] abbbcb=bb with [7] abb=cbbbcbbcbbcb:

Critical pair: cbbbcbbcbbcbbcb=bb.

Defines rule #1.

Referenced by [9].

Overlap of [3] abbbcb=bb with [8] cbbbcbbcbbcbbcb=bb:

Critical pair: abbbbb=bbbbcbbcbbcbbcb.

Reduce LHS:

Defines rule #2.