Certificate for #5198 ⟨a, b | aababba=abbb⟩

Back:⟨a, b | aababba=abbb⟩

Completion settings:

[1] aababba=abbb

Axiom: aababba=abbb.

Referenced by [3].

[2] abbb=c

Axiom: abbb=c.

Defines rule #1.

Referenced by [3], [5].

[3] aababba=c

Simplify [1] aababba=abbb.

Reduce RHS:

[2](abbb)
⇒ c

Defines rule #2.

Referenced by [4], [5].

[4] cababba=aababbc

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

aababb a aababba

Critical pair: aababbc=cababba.

Flip LHS and RHS.

Defines rule #4.

[5] cbbb=aababbc

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

aababb a abbb

Critical pair: aababbc=cbbb.

Flip LHS and RHS.

Defines rule #3.