Certificate for #2118 ⟨a, b | aba=b, baab=a⟩

Completion settings:

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

Axiom: aba=b.

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

Axiom: baab=a.

Referenced by [3], [5], [7].

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

Critical pair: aa=bab.

Flip LHS and RHS.

Referenced by [4], [7].

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

Critical pair: aaa=bb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [5].

Overlap of [2] baab=a with [4] bb=aaa:

Critical pair: baaaaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [6], [7].

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

Critical pair: baaaaaa=b.

Defines rule #2.

Overlap of [2] baab=a with [5] ab=baaaaa:

Critical pair: babaaaaa=a.

Reduce LHS:

Defines rule #1.