Certificate for #5330 ⟨a, b | abaabba=abbb⟩

Back:⟨a, b | abaabba=abbb⟩

Completion settings:

[1] abaabba=abbb

Axiom: abaabba=abbb.

Referenced by [3].

[2] abbb=c

Axiom: abbb=c.

Defines rule #1.

Referenced by [3], [5].

[3] abaabba=c

Simplify [1] abaabba=abbb.

Reduce RHS:

[2](abbb)
⇒ c

Defines rule #2.

Referenced by [4], [5].

[4] cbaabba=abaabbc

Overlap of [3] abaabba=c with [3] abaabba=c:

abaabb a abaabba

Critical pair: abaabbc=cbaabba.

Flip LHS and RHS.

Defines rule #4.

[5] cbbb=abaabbc

Overlap of [3] abaabba=c with [2] abbb=c:

abaabb a abbb

Critical pair: abaabbc=cbbb.

Flip LHS and RHS.

Defines rule #3.