Certificate for #4188 ⟨a, b, c | aab=1, abcb=b⟩

Completion settings:

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

Axiom: aab=1.

Defines rule #2.

Referenced by [3].

Axiom: abcb=b.

Referenced by [3], [4].

Overlap of [1] aab=1 with [2] abcb=b:

Critical pair: ab=cb.

Flip LHS and RHS.

Defines rule #1.

Referenced by [4], [6].

Overlap of [2] abcb=b with [3] cb=ab:

Critical pair: abab=b.

Referenced by [5], [6].

Overlap of [4] abab=b with [4] abab=b:

Critical pair: abb=bab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [6].

Overlap of [3] cb=ab with [5] bab=abb:

Critical pair: cabb=abab.

Reduce RHS:

Defines rule #4.