Certificate for #1672 ⟨a, b, c | aab=ba, cbc=1⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(a) = 0; deg(b) = deg(c) = 1, b < c

Axiom: aab=ba.

Defines rule #1.

Referenced by [5].

Axiom: cbc=1.

Referenced by [3], [4], [7].

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

Critical pair: cb=bc.

Defines rule #2.

Referenced by [4], [6].

Overlap of [2] cbc=1 with [3] cb=bc:

Critical pair: bcc=1.

Defines rule #4.

Referenced by [5].

Overlap of [1] aab=ba with [4] bcc=1:

Critical pair: aa=bacc.

Flip LHS and RHS.

Referenced by [6].

Overlap of [3] cb=bc with [5] bacc=aa:

Critical pair: caa=bcacc.

Flip LHS and RHS.

Referenced by [7].

Overlap of [2] cbc=1 with [6] bcacc=caa:

Critical pair: ccaa=acc.

Flip LHS and RHS.

Defines rule #3.