Certificate for #13125 ⟨a, b | aab=aaa, abb=ab⟩

Back:⟨a, b | aab=aaa, abb=ab⟩

Completion settings:

[1] aab=aaa

Axiom: aab=aaa.

Defines rule #1.

Referenced by [3].

[2] abb=ab

Axiom: abb=ab.

Defines rule #2.

Referenced by [3].

[3] aaaa=aaa

Overlap of [1] aab=aaa with [2] abb=ab:

a ab abb

Critical pair: aab=aaab.

Reduce LHS:

[1](aab)
⇒ aaa

Reduce RHS:

[1]a(aab)
⇒ aaaa

Flip LHS and RHS.

Defines rule #3.