Certificate for #1960 ⟨a, b | aababaab=ba⟩

Back:⟨a, b | aababaab=ba⟩

Completion settings:

[1] aababaab=ba

Axiom: aababaab=ba.

Referenced by [3].

[2] ba=c

Axiom: ba=c.

Defines rule #3.

Referenced by [3], [4], [5], [6].

[3] aababaab=c

Simplify [1] aababaab=ba.

Reduce RHS:

[2](ba)
⇒ c

Referenced by [4].

[4] aaccab=c

Overlap of [3] aababaab=c with [2] ba=c:

aa babaab ba

Critical pair: aacbaab=c.

Reduce LHS:

[2]aac(ba)ab
⇒ aaccab

Defines rule #2.

Referenced by [5], [6].

[5] bc=caccab

Overlap of [2] ba=c with [4] aaccab=c:

b a aaccab

Critical pair: bc=caccab.

Defines rule #4.

[6] aaccac=ca

Overlap of [4] aaccab=c with [2] ba=c:

aacca b ba

Critical pair: aaccac=ca.

Defines rule #1.