Certificate for #5590 ⟨a, b, c | ab=c, bcbc=c⟩

Completion settings:

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

Axiom: ab=c.

Defines rule #3.

Referenced by [3].

Axiom: bcbc=c.

Referenced by [3], [4], [6].

Overlap of [1] ab=c with [2] bcbc=c:

Critical pair: ac=ccbc.

Referenced by [5].

Overlap of [2] bcbc=c with [2] bcbc=c:

Critical pair: bcc=cbc.

Flip LHS and RHS.

Defines rule #1.

Referenced by [5], [6].

Simplify [3] ac=ccbc.

Reduce RHS:

Defines rule #4.

Overlap of [2] bcbc=c with [4] cbc=bcc:

Critical pair: bbcc=c.

Defines rule #2.