Certificate for #5455 ⟨a, b, c | ab=a, cbcc=a⟩

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] cbcc=a

Axiom: cbcc=a.

Defines rule #3.

Referenced by [3].

[3] acc=cbca

Overlap of [2] cbcc=a with [2] cbcc=a:

cbc c cbcc

Critical pair: cbca=abcc.

Reduce RHS:

[1](ab)cc
⇒ acc

Flip LHS and RHS.

Defines rule #2.