Certificate for #16423 ⟨a, b | aba=ab, bbaa=ba⟩

Back:⟨a, b | aba=ab, bbaa=ba⟩

Completion settings:

[1] aba=ab

Axiom: aba=ab.

Defines rule #1.

Referenced by [3], [4].

[2] bbaa=ba

Axiom: bbaa=ba.

Defines rule #3.

Referenced by [4].

[3] abba=abb

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

ab a aba

Critical pair: abab=abba.

Reduce LHS:

[1](aba)b
⇒ abb

Flip LHS and RHS.

Referenced by [4].

[4] abb=ab

Overlap of [3] abba=abb with [2] bbaa=ba:

a bba bbaa

Critical pair: aba=abba.

Reduce LHS:

[1](aba)
⇒ ab

Reduce RHS:

[3](abba)
⇒ abb

Flip LHS and RHS.

Defines rule #2.