Certificate for #3042 ⟨a, b, c | aba=b, cbc=a⟩

Completion settings:

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

Axiom: aba=b.

Referenced by [3].

Axiom: cbc=a.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

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

Critical pair: cbcba=b.

Reduce LHS:

Defines rule #2.

Referenced by [4].

Overlap of [3] cbcbcbc=b with [3] cbcbcbc=b:

Critical pair: cbb=bbc.

Defines rule #1.