Certificate for #13153 ⟨a, b | aba=aaa, bab=ab⟩

Back:⟨a, b | aba=aaa, bab=ab⟩

Completion settings:

[1] aaa=aba

Axiom: aba=aaa.

Flip LHS and RHS.

Defines rule #2.

Referenced by [4].

[2] bab=ab

Axiom: bab=ab.

Defines rule #1.

Referenced by [3].

[3] baab=aab

Overlap of [2] bab=ab with [2] bab=ab:

ba b bab

Critical pair: baab=abab.

Reduce RHS:

[2]a(bab)
⇒ aab

Defines rule #3.

[4] aaba=abaa

Overlap of [1] aaa=aba with [1] aaa=aba:

a aa aaa

Critical pair: aaba=abaa.

Defines rule #4.