Certificate for #601 ⟨a, b | aba=b, bab=a⟩

Completion settings:

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

Axiom: aba=b.

Referenced by [3], [5].

Axiom: bab=a.

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

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

Critical pair: aa=bb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [4].

Overlap of [2] bab=a with [3] bb=aa:

Critical pair: baaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

Overlap of [1] aba=b with [4] ab=baaa:

Critical pair: baaaa=b.

Defines rule #2.

Referenced by [6].

Overlap of [2] bab=a with [5] baaaa=b:

Critical pair: bab=aaaaa.

Reduce LHS:

Flip LHS and RHS.

Defines rule #1.