Certificate for #6691 ⟨a, b, c | aa=1, abccb=b⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Defines rule #1.

Referenced by [3].

[2] abccb=b

Axiom: abccb=b.

Referenced by [3], [4].

[3] bccb=ab

Overlap of [1] aa=1 with [2] abccb=b:

a a abccb

Critical pair: ab=bccb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

[4] bccab=b

Overlap of [3] bccb=ab with [3] bccb=ab:

bcc b bccb

Critical pair: bccab=abccb.

Reduce RHS:

[2](abccb)
⇒ b

Defines rule #3.