Certificate for #16171 ⟨a, b | aab=ab, abba=ba⟩

Back:⟨a, b | aab=ab, abba=ba⟩

Completion settings:

[1] aab=ab

Axiom: aab=ab.

Defines rule #1.

Referenced by [3].

[2] abba=ba

Axiom: abba=ba.

Referenced by [3], [4].

[3] aba=ba

Overlap of [1] aab=ab with [2] abba=ba:

a ab abba

Critical pair: aba=abba.

Reduce RHS:

[2](abba)
⇒ ba

Defines rule #2.

Referenced by [4].

[4] bba=ba

Overlap of [3] aba=ba with [2] abba=ba:

ab a abba

Critical pair: abba=babba.

Reduce LHS:

[2](abba)
⇒ ba

Reduce RHS:

[2]b(abba)
⇒ bba

Flip LHS and RHS.

Defines rule #3.