Certificate for #4086 ⟨a, b | aabaabaab=ba⟩

Back:⟨a, b | aabaabaab=ba⟩

Completion settings:

[1] aabaabaab=ba

Axiom: aabaabaab=ba.

Referenced by [3].

[2] ba=c

Axiom: ba=c.

Defines rule #3.

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

[3] aabaabaab=c

Simplify [1] aabaabaab=ba.

Reduce RHS:

[2](ba)
⇒ c

Referenced by [4].

[4] aacacab=c

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

aa baabaab ba

Critical pair: aacabaab=c.

Reduce LHS:

[2]aaca(ba)ab
⇒ aacacab

Defines rule #2.

Referenced by [5], [6].

[5] bc=cacacab

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

b a aacacab

Critical pair: bc=cacacab.

Defines rule #4.

[6] aacacac=ca

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

aacaca b ba

Critical pair: aacacac=ca.

Defines rule #1.