Certificate for #14336 ⟨a, b | aaaa=a, aaabb=b

Completion settings:

[1] aaaa=a

Axiom: aaaa=a.

Defines rule #2.

Referenced by [3].

[2] aaabb=b

Axiom: aaabb=b.

Referenced by [3], [4].

[3] abb=ab

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

a aaa aaabb

Critical pair: ab=abb.

Flip LHS and RHS.

Referenced by [4], [5].

[4] aaab=b

Overlap of [2] aaabb=b with [3] abb=ab:

aa abb abb

Critical pair: aaab=b.

Defines rule #3.

Referenced by [5].

[5] bb=b

Overlap of [4] aaab=b with [3] abb=ab:

aa ab abb

Critical pair: aaab=bb.

Reduce LHS:

[4](aaab)
b

Flip LHS and RHS.

Defines rule #1.