Certificate for #5407 ⟨a, b | aab=bb, aba=bb⟩

Back:⟨a, b | aab=bb, aba=bb⟩

Completion settings:

[1] aab=bb

Axiom: aab=bb.

Defines rule #1.

Referenced by [3].

[2] aba=bb

Axiom: aba=bb.

Defines rule #2.

Referenced by [3], [4].

[3] bba=abb

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

a ab aba

Critical pair: abb=bba.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

[4] babb=abbb

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

ab a aba

Critical pair: abbb=bbba.

Reduce RHS:

[3]b(bba)
⇒ babb

Flip LHS and RHS.

Defines rule #4.