Certificate for #16102 ⟨a, b | aab=aa, abab=ab⟩

Back:⟨a, b | aab=aa, abab=ab⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #2.

Referenced by [3].

[2] abab=ab

Axiom: abab=ab.

Defines rule #3.

Referenced by [3].

[3] aaa=aa

Overlap of [1] aab=aa with [2] abab=ab:

a ab abab

Critical pair: aab=aaab.

Reduce LHS:

[1](aab)
⇒ aa

Reduce RHS:

[1]a(aab)
⇒ aaa

Flip LHS and RHS.

Defines rule #1.