Certificate for #2028 ⟨a, b | abaaabab=ba⟩

Back:⟨a, b | abaaabab=ba⟩

Completion settings:

[1] abaaabab=ba

Axiom: abaaabab=ba.

Referenced by [3].

[2] ba=c

Axiom: ba=c.

Defines rule #3.

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

[3] abaaabab=c

Simplify [1] abaaabab=ba.

Reduce RHS:

[2](ba)
⇒ c

Referenced by [4].

[4] acaacb=c

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

a baaabab ba

Critical pair: acaabab=c.

Reduce LHS:

[2]acaa(ba)b
⇒ acaacb

Defines rule #2.

Referenced by [5], [6].

[5] bc=ccaacb

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

b a acaacb

Critical pair: bc=ccaacb.

Defines rule #4.

[6] acaacc=ca

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

acaac b ba

Critical pair: acaacc=ca.

Defines rule #1.