Certificate for #6514 ⟨a, b | aba=b, baaab=a⟩

Completion settings:

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

Axiom: aba=b.

Referenced by [3], [4], [5], [7].

Axiom: baaab=a.

Referenced by [3], [6], [8].

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

Critical pair: aa=baab.

Flip LHS and RHS.

Referenced by [4], [8].

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

Critical pair: aaa=bab.

Flip LHS and RHS.

Referenced by [5].

Overlap of [1] aba=b with [4] bab=aaa:

Critical pair: aaaa=bb.

Flip LHS and RHS.

Defines rule #4.

Referenced by [6].

Overlap of [2] baaab=a with [5] bb=aaaa:

Critical pair: baaaaaaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [7], [8].

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

Critical pair: baaaaaaaa=b.

Defines rule #2.

Overlap of [2] baaab=a with [6] ab=baaaaaaa:

Critical pair: baabaaaaaaa=a.

Reduce LHS:

Defines rule #1.