Certificate for #6685 ⟨a, b, c | aa=1, abcbb=b⟩

Completion settings:

[1] aa=1

Axiom: aa=1.

Defines rule #1.

Referenced by [3].

[2] abcbb=b

Axiom: abcbb=b.

Referenced by [3], [4].

[3] bcbb=ab

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

a a abcbb

Critical pair: ab=bcbb.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

[4] bcbab=b

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

bcb b bcbb

Critical pair: bcbab=abcbb.

Reduce RHS:

[2](abcbb)
⇒ b

Defines rule #3.