Certificate for #1564 ⟨a, b, c | aaa=ab, cbc=1⟩

Completion settings:

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

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

Axiom: cbc=1.

Referenced by [3], [4].

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

Critical pair: cb=bc.

Defines rule #4.

Referenced by [4].

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

Critical pair: bcc=1.

Defines rule #2.

Referenced by [5].

Overlap of [1] ab=aaa with [4] bcc=1:

Critical pair: a=aaacc.

Flip LHS and RHS.

Defines rule #1.