Certificate for #3068 ⟨a, b, c | abc=a, cba=b⟩

Completion settings:

• Reduction order:
  • Left-to-right shortlex with b < a < c

Axiom: abc=a.

Defines rule #4.

Referenced by [3], [4].

Axiom: cba=b.

Defines rule #5.

Referenced by [3], [4], [5].

Overlap of [1] abc=a with [2] cba=b:

Critical pair: abb=aba.

Flip LHS and RHS.

Defines rule #3.

Overlap of [2] cba=b with [1] abc=a:

Critical pair: cba=bbc.

Reduce LHS:

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

Overlap of [4] bbc=b with [2] cba=b:

Critical pair: bbb=bba.

Flip LHS and RHS.

Defines rule #1.