Certificate for #7178 ⟨a, b, c | aa=1, abca=cb⟩

Completion settings:

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

Axiom: aa=1.

Defines rule #1.

Referenced by [3], [4].

Axiom: abca=cb.

Referenced by [3].

Overlap of [1] aa=1 with [2] abca=cb:

Critical pair: acb=bca.

Flip LHS and RHS.

Referenced by [4].

Overlap of [3] bca=acb with [1] aa=1:

Critical pair: bc=acba.

Defines rule #2.