Certificate for #1848 ⟨a, b, c | aba=ba, caa=1⟩

Completion settings:

• Auxiliary generators:
  1. d = ba
• Reduction order:
  • Left-to-right shortlex with a < d < b < c

Axiom: aba=ba.

Referenced by [4].

Axiom: caa=1.

Defines rule #5.

Referenced by [7].

Axiom: ba=d.

Defines rule #2.

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

Simplify [1] aba=ba.

Reduce RHS:

Referenced by [5].

Overlap of [4] aba=d with [3] ba=d:

Critical pair: ad=d.

Defines rule #1.

Referenced by [6], [7].

Overlap of [3] ba=d with [5] ad=d:

Critical pair: bd=dd.

Defines rule #3.

Overlap of [2] caa=1 with [5] ad=d:

Critical pair: cad=d.

Reduce LHS:

Defines rule #4.