Certificate for #1955 ⟨a, b, c | abc=ac, bab=1⟩

Completion settings:

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

Axiom: abc=ac.

Referenced by [5], [6].

Axiom: bab=1.

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

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

Critical pair: ba=ab.

Defines rule #2.

Referenced by [4], [5], [6].

Overlap of [2] bab=1 with [3] ba=ab:

Critical pair: abb=1.

Defines rule #4.

Overlap of [2] bab=1 with [1] abc=ac:

Critical pair: bac=c.

Reduce LHS:

Defines rule #1.

Referenced by [6].

Overlap of [3] ba=ab with [5] ac=c:

Critical pair: bc=abc.

Reduce RHS:

Defines rule #3.