Certificate for #4328 ⟨a, b | abbaaaaab=bb⟩

Completion settings:

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

Axiom: abbaaaaab=bb.

Referenced by [3].

Axiom: aaaaa=c.

Defines rule #5.

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

Overlap of [1] abbaaaaab=bb with [2] aaaaa=c:

Critical pair: abbcb=bb.

Referenced by [5], [6], [7], [8], [9], [10].

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

Critical pair: ac=ca.

Defines rule #3.

Overlap of [2] aaaaa=c with [3] abbcb=bb:

Critical pair: aaaabb=cbbcb.

Referenced by [6].

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

Critical pair: aaabb=cbbcbcb.

Referenced by [7].

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

Critical pair: aabb=cbbcbcbcb.

Referenced by [8].

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

Critical pair: abb=cbbcbcbcbcb.

Defines rule #4.

Referenced by [9], [10].

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

Critical pair: cbbcbcbcbcbcb=bb.

Defines rule #1.

Referenced by [10].

Overlap of [3] abbcb=bb with [9] cbbcbcbcbcbcb=bb:

Critical pair: abbbb=bbbcbcbcbcbcb.

Reduce LHS:

Defines rule #2.