Certificate for #5266 ⟨a, b, c | aa=b, cbbc=b⟩

Completion settings:

[1] b=aa

Axiom: aa=b.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

[2] caaaac=aa

Axiom: cbbc=b.

Reduce LHS:

[1]c(b)bc
[1]⇒ caa(b)c
⇒ caaaac

Reduce RHS:

[1](b)
⇒ aa

Defines rule #1.

Referenced by [3].

[3] caaaaaa=aaaaaac

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

caaaa c caaaac

Critical pair: caaaaaa=aaaaaac.

Defines rule #2.