Certificate for #19504 ⟨a, b | aab=b, aaaaa=aa

Completion settings:

[1] aab=b

Axiom: aab=b.

Referenced by [3].

[2] aaaaa=aa

Axiom: aaaaa=aa.

Defines rule #2.

Referenced by [3].

[3] ab=b

Overlap of [2] aaaaa=aa with [1] aab=b:

aaa aa aab

Critical pair: aaab=aab.

Reduce LHS:

[1]a(aab)
ab

Reduce RHS:

[1](aab)
b

Defines rule #1.