Certificate for #2074 ⟨a, b | abbaaaab=bb⟩

Completion settings:

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

Axiom: abbaaaab=bb.

Referenced by [3].

Axiom: aaaa=c.

Defines rule #5.

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

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

Critical pair: abbcb=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] abbcb=bb:

Critical pair: aaabb=cbbcb.

Referenced by [6].

Overlap of [5] aaabb=cbbcb with [3] abbcb=bb:

Critical pair: aabb=cbbcbcb.

Referenced by [7].

Overlap of [6] aabb=cbbcbcb with [3] abbcb=bb:

Critical pair: abb=cbbcbcbcb.

Defines rule #4.

Referenced by [8], [9].

Overlap of [3] abbcb=bb with [7] abb=cbbcbcbcb:

Critical pair: cbbcbcbcbcb=bb.

Defines rule #1.

Referenced by [9].

Overlap of [3] abbcb=bb with [8] cbbcbcbcbcb=bb:

Critical pair: abbbb=bbbcbcbcbcb.

Reduce LHS:

Defines rule #2.