Certificate for #360 ⟨a, b, c | aba=b, bac=1⟩

Completion settings:

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

Axiom: aba=b.

Referenced by [3], [4].

Axiom: bac=1.

Referenced by [3], [6].

Overlap of [1] aba=b with [2] bac=1:

Critical pair: a=bc.

Defines rule #4.

Referenced by [4], [6].

Overlap of [1] aba=b with [3] a=bc:

Critical pair: bcba=b.

Reduce LHS:

Defines rule #3.

Referenced by [5].

Overlap of [4] bcbbc=b with [4] bcbbc=b:

Critical pair: bcbb=bbbc.

Flip LHS and RHS.

Defines rule #2.

Overlap of [2] bac=1 with [3] a=bc:

Critical pair: bbcc=1.

Defines rule #1.