Certificate for #2606 ⟨a, b | ababba=abbb⟩

Back:⟨a, b | ababba=abbb⟩

Completion settings:

[1] ababba=abbb

Axiom: ababba=abbb.

Referenced by [3].

[2] abbb=c

Axiom: abbb=c.

Defines rule #1.

Referenced by [3], [5].

[3] ababba=c

Simplify [1] ababba=abbb.

Reduce RHS:

[2](abbb)
⇒ c

Defines rule #2.

Referenced by [4], [5].

[4] cbabba=ababbc

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

ababb a ababba

Critical pair: ababbc=cbabba.

Flip LHS and RHS.

Defines rule #4.

[5] cbbb=ababbc

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

ababb a abbb

Critical pair: ababbc=cbbb.

Flip LHS and RHS.

Defines rule #3.