Certificate for #5761 ⟨a, b, c | aa=b, cac=bb⟩

Completion settings:

[1] b=aa

Axiom: aa=b.

Flip LHS and RHS.

Defines rule #1.

Referenced by [2].

[2] cac=aaaa

Axiom: cac=bb.

Reduce RHS:

[1](b)b
[1]⇒ aa(b)
⇒ aaaa

Defines rule #3.

Referenced by [3].

[3] aaaaac=caaaaa

Overlap of [2] cac=aaaa with [2] cac=aaaa:

ca c cac

Critical pair: caaaaa=aaaaac.

Flip LHS and RHS.

Defines rule #2.