Certificate for #20990 ⟨a, b | ab=aa, baaa=bba⟩

Back:⟨a, b | ab=aa, baaa=bba⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #2.

Referenced by [3].

[2] bba=baaa

Axiom: baaa=bba.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[3] aaaaa=aaaa

Overlap of [1] ab=aa with [2] bba=baaa:

a b bba

Critical pair: abaaa=aaba.

Reduce LHS:

[1](ab)aaa
⇒ aaaaa

Reduce RHS:

[1]a(ab)a
⇒ aaaa

Defines rule #1.