Certificate for #1106 ⟨a, b | abaaab=abb⟩

Back:⟨a, b | abaaab=abb⟩

Completion settings:

[1] abaaab=abb

Axiom: abaaab=abb.

Referenced by [3].

[2] abb=c

Axiom: abb=c.

Defines rule #3.

Referenced by [3], [5].

[3] abaaab=c

Simplify [1] abaaab=abb.

Reduce RHS:

[2](abb)
⇒ c

Defines rule #4.

Referenced by [4], [5].

[4] caaab=abaac

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

abaa ab abaaab

Critical pair: abaac=caaab.

Flip LHS and RHS.

Defines rule #2.

[5] cb=abaac

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

abaa ab abb

Critical pair: abaac=cb.

Flip LHS and RHS.

Defines rule #1.