Certificate for #938 ⟨a, b, c | aa=b, cbc=b⟩

Completion settings:

[1] b=aa

Axiom: aa=b.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2].

[2] caac=aa

Axiom: cbc=b.

Reduce LHS:

[1]c(b)c
⇒ caac

Reduce RHS:

[1](b)
⇒ aa

Defines rule #1.

Referenced by [3].

[3] caaaa=aaaac

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

caa c caac

Critical pair: caaaa=aaaac.

Defines rule #2.