Certificate for #16548 ⟨a, b | aba=bb, baa=aba

Completion settings:

[1] aba=bb

Axiom: aba=bb.

Defines rule #3.

Referenced by [2], [3].

[2] baa=bb

Axiom: baa=aba.

Reduce RHS:

[1](aba)
bb

Defines rule #1.

Referenced by [3], [4].

[3] abb=bba

Overlap of [1] aba=bb with [2] baa=bb:

a ba baa

Critical pair: abb=bba.

Defines rule #2.

Referenced by [4].

[4] bbab=bbba

Overlap of [3] abb=bba with [2] baa=bb:

ab b baa

Critical pair: abbb=bbaaa.

Reduce LHS:

[3](abb)b
bbab

Reduce RHS:

[2]b(baa)a
bbba

Defines rule #4.