Certificate for #16126 ⟨a, b | aab=aa, babb=ab⟩

Back:⟨a, b | aab=aa, babb=ab⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [3], [4].

[2] babb=ab

Axiom: babb=ab.

Defines rule #3.

Referenced by [3], [4].

[3] babab=aa

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

bab b babb

Critical pair: babab=ababb.

Reduce RHS:

[2]a(babb)
[1]⇒ (aab)
⇒ aa

Defines rule #4.

Referenced by [4].

[4] baa=aa

Overlap of [3] babab=aa with [2] babb=ab:

ba bab babb

Critical pair: baab=aab.

Reduce LHS:

[1]b(aab)
⇒ baa

Reduce RHS:

[1](aab)
⇒ aa

Defines rule #2.