Certificate for #14634 ⟨a, b | aaba=b, baaaa=b⟩

Completion settings:

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

Axiom: aaba=b.

Referenced by [3], [4], [5], [6].

Axiom: baaaa=b.

Referenced by [3].

Overlap of [1] aaba=b with [2] baaaa=b:

Critical pair: aab=baaa.

Flip LHS and RHS.

Referenced by [4].

Overlap of [1] aaba=b with [3] baaa=aab:

Critical pair: aaaab=baa.

Flip LHS and RHS.

Referenced by [5].

Overlap of [1] aaba=b with [4] baa=aaaab:

Critical pair: aaaaaab=ba.

Flip LHS and RHS.

Defines rule #2.

Referenced by [6].

Overlap of [1] aaba=b with [5] ba=aaaaaab:

Critical pair: aaaaaaaab=b.

Defines rule #1.