Certificate for #1837 ⟨a, b, c | aba=ac, bcb=1⟩

Completion settings:

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

Axiom: aba=ac.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

Axiom: bcb=1.

Referenced by [3], [4].

Overlap of [2] bcb=1 with [2] bcb=1:

Critical pair: bc=cb.

Defines rule #4.

Referenced by [4].

Overlap of [2] bcb=1 with [3] bc=cb:

Critical pair: cbb=1.

Defines rule #2.

Referenced by [5].

Overlap of [1] ac=aba with [4] cbb=1:

Critical pair: a=ababb.

Flip LHS and RHS.

Defines rule #1.