Certificate for #20314 ⟨a, b | aba=b, bbbb=aaa⟩

Completion settings:

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

Axiom: aba=b.

Referenced by [4], [5], [6].

Axiom: bbbb=aaa.

Defines rule #4.

Referenced by [3], [7].

Overlap of [2] bbbb=aaa with [2] bbbb=aaa:

Critical pair: baaa=aaab.

Flip LHS and RHS.

Referenced by [4].

Overlap of [3] aaab=baaa with [1] aba=b:

Critical pair: aab=baaaa.

Referenced by [5].

Overlap of [4] aab=baaaa with [1] aba=b:

Critical pair: ab=baaaaa.

Defines rule #3.

Referenced by [6].

Overlap of [1] aba=b with [5] ab=baaaaa:

Critical pair: baaaaaa=b.

Defines rule #2.

Referenced by [7].

Overlap of [2] bbbb=aaa with [6] baaaaaa=b:

Critical pair: bbbb=aaaaaaaaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.