Certificate for #6788 ⟨a, b | aba=b, baab=aa⟩

Completion settings:

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

Axiom: aba=b.

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

Axiom: baab=aa.

Referenced by [3], [5], [8].

Overlap of [1] aba=b with [2] baab=aa:

Critical pair: aaa=bab.

Flip LHS and RHS.

Referenced by [4].

Overlap of [1] aba=b with [3] bab=aaa:

Critical pair: aaaa=bb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [5], [8].

Overlap of [2] baab=aa with [4] bb=aaaa:

Critical pair: baaaaaa=aab.

Flip LHS and RHS.

Referenced by [6], [8].

Overlap of [5] aab=baaaaaa with [1] aba=b:

Critical pair: ab=baaaaaaa.

Defines rule #3.

Referenced by [7].

Overlap of [1] aba=b with [6] ab=baaaaaaa:

Critical pair: baaaaaaaa=b.

Defines rule #2.

Overlap of [2] baab=aa with [5] aab=baaaaaa:

Critical pair: bbaaaaaa=aa.

Reduce LHS:

Defines rule #1.