Certificate for #13340 ⟨a, b | aaaab=1, abbbbb=1⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(a) = 0; deg(b) = 1

Axiom: aaaab=1.

Referenced by [3], [4], [6], [7], [8].

Axiom: abbbbb=1.

Referenced by [3].

Overlap of [1] aaaab=1 with [2] abbbbb=1:

Critical pair: aaa=bbbb.

Flip LHS and RHS.

Referenced by [4], [5].

Overlap of [1] aaaab=1 with [3] bbbb=aaa:

Critical pair: aaaaaaa=bbb.

Flip LHS and RHS.

Referenced by [6].

Overlap of [3] bbbb=aaa with [3] bbbb=aaa:

Critical pair: baaa=aaab.

Flip LHS and RHS.

Referenced by [8].

Overlap of [1] aaaab=1 with [4] bbb=aaaaaaa:

Critical pair: aaaaaaaaaaa=bb.

Flip LHS and RHS.

Referenced by [7].

Overlap of [1] aaaab=1 with [6] bb=aaaaaaaaaaa:

Critical pair: aaaaaaaaaaaaaaa=b.

Flip LHS and RHS.

Defines rule #2.

Referenced by [8].

Overlap of [1] aaaab=1 with [5] aaab=baaa:

Critical pair: abaaa=1.

Reduce LHS:

Defines rule #1.