Certificate for #12907 ⟨a, b | aab=aaa, bbab=b⟩

Back:⟨a, b | aab=aaa, bbab=b⟩

Completion settings:

[1] aab=aaa

Axiom: aab=aaa.

Defines rule #1.

Referenced by [3].

[2] bbab=b

Axiom: bbab=b.

Defines rule #2.

Referenced by [3].

[3] aaaaaa=aaa

Overlap of [1] aab=aaa with [2] bbab=b:

aa b bbab

Critical pair: aab=aaabab.

Reduce LHS:

[1](aab)
⇒ aaa

Reduce RHS:

[1]a(aab)ab
[1]⇒ aaa(aab)
⇒ aaaaaa

Flip LHS and RHS.

Defines rule #3.