Certificate for #6652 ⟨a, b, c | aa=1, abacb=b⟩

Completion settings:

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

Axiom: aa=1.

Defines rule #1.

Referenced by [3].

Axiom: abacb=b.

Referenced by [3], [4].

Overlap of [1] aa=1 with [2] abacb=b:

Critical pair: ab=bacb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

Overlap of [3] bacb=ab with [3] bacb=ab:

Critical pair: bacab=abacb.

Reduce RHS:

Defines rule #3.