Certificate for #1492 ⟨a, b | aab=ab, aaaa=1⟩

Completion settings:

[1] aab=ab

Axiom: aab=ab.

Referenced by [3].

[2] aaaa=1

Axiom: aaaa=1.

Defines rule #2.

Referenced by [3].

[3] ab=b

Overlap of [2] aaaa=1 with [1] aab=ab:

aa aa aab

Critical pair: aaab=b.

Reduce LHS:

[1]a(aab)
[1](aab)
ab

Defines rule #1.