Certificate for #1751 ⟨a, b | aaab=1, bbbbb=1⟩

Completion settings:

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

Axiom: aaab=1.

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

Axiom: bbbbb=1.

Referenced by [3].

Overlap of [1] aaab=1 with [2] bbbbb=1:

Critical pair: aaa=bbbb.

Flip LHS and RHS.

Referenced by [4], [5].

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

Critical pair: aaaaaa=bbb.

Flip LHS and RHS.

Referenced by [6].

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

Critical pair: baaa=aaab.

Reduce RHS:

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

Overlap of [4] bbb=aaaaaa with [5] baaa=1:

Critical pair: bb=aaaaaaaaa.

Referenced by [7].

Overlap of [6] bb=aaaaaaaaa with [5] baaa=1:

Critical pair: b=aaaaaaaaaaaa.

Defines rule #2.

Referenced by [8].

Overlap of [5] baaa=1 with [7] b=aaaaaaaaaaaa:

Critical pair: aaaaaaaaaaaaaaa=1.

Defines rule #1.