Certificate for #5332 ⟨a, b | aaa=ab, bba=ab

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2], [3].

[2] bba=aaa

Axiom: bba=ab.

Reduce RHS:

[1](ab)
aaa

Defines rule #3.

Referenced by [3].

[3] aaaaaa=aaaa

Overlap of [1] ab=aaa with [2] bba=aaa:

a b bba

Critical pair: aaaa=aaaba.

Reduce RHS:

[1]aa(ab)a
aaaaaa

Flip LHS and RHS.

Defines rule #1.