Certificate for #4090 ⟨a, b | aabaababa=ba⟩

Back:⟨a, b | aabaababa=ba⟩

Completion settings:

[1] aabaababa=ba

Axiom: aabaababa=ba.

Referenced by [3].

[2] ba=c

Axiom: ba=c.

Defines rule #2.

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

[3] aabaababa=c

Simplify [1] aabaababa=ba.

Reduce RHS:

[2](ba)
⇒ c

Referenced by [4].

[4] aacacc=c

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

aa baababa ba

Critical pair: aacababa=c.

Reduce LHS:

[2]aaca(ba)ba
[2]⇒ aacac(ba)
⇒ aacacc

Defines rule #1.

Referenced by [5].

[5] bc=cacacc

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

b a aacacc

Critical pair: bc=cacacc.

Defines rule #3.