Certificate for #2959 ⟨a, b, c | aab=b, ccb=a⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Referenced by [3].

[2] a=ccb

Axiom: ccb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] ccbccbb=b

Overlap of [1] aab=b with [2] a=ccb:

aab a

Critical pair: ccbab=b.

Reduce LHS:

[2]ccb(a)b
⇒ ccbccbb

Defines rule #1.