Certificate for #1248 ⟨a, b | abaab=baab⟩

Completion settings:

[1] abaab=baab

Axiom: abaab=baab.

Referenced by [3].

[2] baab=c

Axiom: baab=c.

Defines rule #3.

Referenced by [3], [4], [5].

[3] abaab=c

Simplify [1] abaab=baab.

Reduce RHS:

[2](baab)
⇒ c

Referenced by [4].

[4] ac=c

Overlap of [3] abaab=c with [2] baab=c:

a baab baab

Critical pair: ac=c.

Defines rule #1.

Referenced by [5].

[5] bc=caab

Overlap of [2] baab=c with [2] baab=c:

baa b baab

Critical pair: baac=caab.

Reduce LHS:

[4]ba(ac)
[4]⇒ b(ac)
⇒ bc

Defines rule #2.