Certificate for #5420 ⟨a, b | aba=ab, bab=ba⟩

Back:⟨a, b | aba=ab, bab=ba⟩

Completion settings:

[1] aba=ab

Axiom: aba=ab.

Defines rule #1.

Referenced by [3], [4].

[2] bab=ba

Axiom: bab=ba.

Defines rule #4.

Referenced by [3], [4].

[3] abb=ab

Overlap of [1] aba=ab with [2] bab=ba:

a ba bab

Critical pair: aba=abb.

Reduce LHS:

[1](aba)
⇒ ab

Flip LHS and RHS.

Defines rule #2.

[4] baa=ba

Overlap of [2] bab=ba with [1] aba=ab:

b ab aba

Critical pair: bab=baa.

Reduce LHS:

[2](bab)
⇒ ba

Flip LHS and RHS.

Defines rule #3.