Certificate for #2052 ⟨a, b | aab=b, aaaa=a

Completion settings:

[1] aab=b

Axiom: aab=b.

Referenced by [3].

[2] aaaa=a

Axiom: aaaa=a.

Defines rule #2.

Referenced by [3].

[3] ab=b

Overlap of [2] aaaa=a with [1] aab=b:

aa aa aab

Critical pair: aab=ab.

Reduce LHS:

[1](aab)
b

Flip LHS and RHS.

Defines rule #1.