Certificate for #5260 ⟨a, b, c | aa=b, cabc=b⟩

Completion settings:

[1] b=aa

Axiom: aa=b.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

[2] caaac=aa

Axiom: cabc=b.

Reduce LHS:

[1]ca(b)c
⇒ caaac

Reduce RHS:

[1](b)
⇒ aa

Defines rule #1.

Referenced by [3].

[3] caaaaa=aaaaac

Overlap of [2] caaac=aa with [2] caaac=aa:

caaa c caaac

Critical pair: caaaaa=aaaaac.

Defines rule #2.