Certificate for #1893 ⟨a, b, c | aba=cc, baa=1⟩

Completion settings:

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

Axiom: aba=cc.

Flip LHS and RHS.

Defines rule #4.

Referenced by [3].

Axiom: baa=1.

Defines rule #1.

Referenced by [4].

Overlap of [1] cc=aba with [1] cc=aba:

Critical pair: caba=abac.

Defines rule #3.

Referenced by [4], [5].

Overlap of [3] caba=abac with [2] baa=1:

Critical pair: ca=abaca.

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [3] caba=abac with [4] abaca=ca:

Critical pair: cabca=abacbaca.

Defines rule #5.