Certificate for #13213 ⟨a, b | abb=aba, bab=bb⟩

Back:⟨a, b | abb=aba, bab=bb⟩

Completion settings:

[1] aba=abb

Axiom: abb=aba.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3], [4].

[2] bab=bb

Axiom: bab=bb.

Defines rule #2.

Referenced by [3], [4], [5].

[3] abbb=abb

Overlap of [1] aba=abb with [2] bab=bb:

a ba bab

Critical pair: abb=abbb.

Flip LHS and RHS.

Defines rule #5.

[4] bba=bbb

Overlap of [2] bab=bb with [1] aba=abb:

b ab aba

Critical pair: babb=bba.

Reduce LHS:

[2](bab)b
⇒ bbb

Flip LHS and RHS.

Defines rule #1.

Referenced by [5].

[5] bbbb=bbb

Overlap of [4] bba=bbb with [2] bab=bb:

b ba bab

Critical pair: bbb=bbbb.

Flip LHS and RHS.

Defines rule #4.