Certificate for #2294 ⟨a, b | abaaaab=abb⟩

Back:⟨a, b | abaaaab=abb⟩

Completion settings:

[1] abaaaab=abb

Axiom: abaaaab=abb.

Referenced by [3].

[2] abb=c

Axiom: abb=c.

Defines rule #3.

Referenced by [3], [5].

[3] abaaaab=c

Simplify [1] abaaaab=abb.

Reduce RHS:

[2](abb)
⇒ c

Defines rule #4.

Referenced by [4], [5].

[4] caaaab=abaaac

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

abaaa ab abaaaab

Critical pair: abaaac=caaaab.

Flip LHS and RHS.

Defines rule #2.

[5] cb=abaaac

Overlap of [3] abaaaab=c with [2] abb=c:

abaaa ab abb

Critical pair: abaaac=cb.

Flip LHS and RHS.

Defines rule #1.