Certificate for #16396 ⟨a, b | aba=ab, abab=bb⟩

Back:⟨a, b | aba=ab, abab=bb⟩

Completion settings:

[1] aba=ab

Axiom: aba=ab.

Defines rule #1.

Referenced by [2], [3].

[2] abb=bb

Axiom: abab=bb.

Reduce LHS:

[1](aba)b
⇒ abb

Defines rule #2.

Referenced by [3].

[3] bba=bb

Overlap of [1] aba=ab with [1] aba=ab:

ab a aba

Critical pair: abab=abba.

Reduce LHS:

[1](aba)b
[2]⇒ (abb)
⇒ bb

Reduce RHS:

[2](abb)a
⇒ bba

Flip LHS and RHS.

Defines rule #3.