Certificate for #5265 ⟨a, b, c | aa=b, cbbc=a⟩

Completion settings:

[1] b=aa

Axiom: aa=b.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

[2] caaaac=a

Axiom: cbbc=a.

Reduce LHS:

[1]c(b)bc
[1]⇒ caa(b)c
⇒ caaaac

Defines rule #2.

Referenced by [3].

[3] caaaaa=aaaaac

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

caaaa c caaaac

Critical pair: caaaaa=aaaaac.

Defines rule #1.