Certificate for #4122 ⟨a, b | aab=aaa, abb=a

Completion settings:

[1] aab=aaa

Axiom: aab=aaa.

Defines rule #1.

Referenced by [3].

[2] abb=a

Axiom: abb=a.

Defines rule #2.

Referenced by [3].

[3] aaaa=aa

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

a ab abb

Critical pair: aa=aaab.

Reduce RHS:

[1]a(aab)
aaaa

Flip LHS and RHS.

Defines rule #3.