Certificate for #2616 ⟨a, b | abbaab=aaab⟩

Back:⟨a, b | abbaab=aaab⟩

Completion settings:

[1] abbaab=aaab

Axiom: abbaab=aaab.

Referenced by [3].

[2] aaab=c

Axiom: aaab=c.

Defines rule #3.

Referenced by [3], [5].

[3] abbaab=c

Simplify [1] abbaab=aaab.

Reduce RHS:

[2](aaab)
⇒ c

Defines rule #4.

Referenced by [4], [5].

[4] abbac=cbaab

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

abba ab abbaab

Critical pair: abbac=cbaab.

Defines rule #2.

[5] aac=cbaab

Overlap of [2] aaab=c with [3] abbaab=c:

aa ab abbaab

Critical pair: aac=cbaab.

Defines rule #1.