Certificate for #4246 ⟨a, b | abaaababa=ba⟩

Back:⟨a, b | abaaababa=ba⟩

Completion settings:

[1] abaaababa=ba

Axiom: abaaababa=ba.

Referenced by [3].

[2] ba=c

Axiom: ba=c.

Defines rule #2.

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

[3] abaaababa=c

Simplify [1] abaaababa=ba.

Reduce RHS:

[2](ba)
⇒ c

Referenced by [4].

[4] acaacc=c

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

a baaababa ba

Critical pair: acaababa=c.

Reduce LHS:

[2]acaa(ba)ba
[2]⇒ acaac(ba)
⇒ acaacc

Defines rule #1.

Referenced by [5].

[5] bc=ccaacc

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

b a acaacc

Critical pair: bc=ccaacc.

Defines rule #3.