Certificate for #5230 ⟨a, b | aabbaba=abbb⟩

Back:⟨a, b | aabbaba=abbb⟩

Completion settings:

[1] aabbaba=abbb

Axiom: aabbaba=abbb.

Referenced by [3].

[2] abbb=c

Axiom: abbb=c.

Defines rule #1.

Referenced by [3], [5].

[3] aabbaba=c

Simplify [1] aabbaba=abbb.

Reduce RHS:

[2](abbb)
⇒ c

Defines rule #2.

Referenced by [4], [5].

[4] cabbaba=aabbabc

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

aabbab a aabbaba

Critical pair: aabbabc=cabbaba.

Flip LHS and RHS.

Defines rule #4.

[5] cbbb=aabbabc

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

aabbab a abbb

Critical pair: aabbabc=cbbb.

Flip LHS and RHS.

Defines rule #3.