Certificate for #3045 ⟨a, b, c | aba=c, abc=b⟩

Completion settings:

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

Axiom: aba=c.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

Axiom: abc=b.

Reduce LHS:

Defines rule #2.

Referenced by [3].

Overlap of [2] ababa=b with [2] ababa=b:

Critical pair: abb=bba.

Flip LHS and RHS.

Defines rule #1.