Certificate for #2941 ⟨a, b, c | aab=b, bcc=a⟩

Completion settings:

[1] aab=b

Axiom: aab=b.

Referenced by [3].

[2] a=bcc

Axiom: bcc=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] bccbccb=b

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

aab a

Critical pair: bccab=b.

Reduce LHS:

[2]bcc(a)b
⇒ bccbccb

Defines rule #1.