Certificate for #16193 ⟨a, b | aab=ab, bbaa=aa⟩

Back:⟨a, b | aab=ab, bbaa=aa⟩

Completion settings:

[1] aab=ab

Axiom: aab=ab.

Defines rule #1.

Referenced by [3], [4].

[2] bbaa=aa

Axiom: bbaa=aa.

Defines rule #3.

Referenced by [3], [4].

[3] aaaa=aaa

Overlap of [1] aab=ab with [2] bbaa=aa:

aa b bbaa

Critical pair: aaaa=abbaa.

Reduce RHS:

[2]a(bbaa)
⇒ aaa

Defines rule #2.

[4] bbab=ab

Overlap of [2] bbaa=aa with [1] aab=ab:

bb aa aab

Critical pair: bbab=aab.

Reduce RHS:

[1](aab)
⇒ ab

Defines rule #4.