Certificate for #21084 ⟨a, b | bb=aa, aaaa=aaa⟩

Back:⟨a, b | bb=aa, aaaa=aaa⟩

Completion settings:

[1] bb=aa

Axiom: bb=aa.

Defines rule #1.

Referenced by [3].

[2] aaaa=aaa

Axiom: aaaa=aaa.

Defines rule #3.

Referenced by [4].

[3] baa=aab

Overlap of [1] bb=aa with [1] bb=aa:

b b bb

Critical pair: baa=aab.

Defines rule #2.

Referenced by [4].

[4] aaba=aaab

Overlap of [3] baa=aab with [2] aaaa=aaa:

b aa aaaa

Critical pair: baaa=aabaa.

Reduce LHS:

[3](baa)a
⇒ aaba

Reduce RHS:

[3]aa(baa)
[2]⇒ (aaaa)b
⇒ aaab

Defines rule #4.