Certificate for #927 ⟨a, b | aabaaab=ba⟩

Back:⟨a, b | aabaaab=ba⟩

Completion settings:

[1] aabaaab=ba

Axiom: aabaaab=ba.

Referenced by [3].

[2] aab=c

Axiom: aab=c.

Defines rule #2.

Referenced by [3], [4], [5].

[3] ba=cac

Overlap of [1] aabaaab=ba with [2] aab=c:

aabaaab aab

Critical pair: caaab=ba.

Reduce LHS:

[2]ca(aab)
⇒ cac

Flip LHS and RHS.

Defines rule #3.

Referenced by [4], [5].

[4] aacac=ca

Overlap of [2] aab=c with [3] ba=cac:

aa b ba

Critical pair: aacac=ca.

Defines rule #1.

[5] bc=cacab

Overlap of [3] ba=cac with [2] aab=c:

b a aab

Critical pair: bc=cacab.

Defines rule #4.