Certificate for #5330 ⟨a, b | aaa=ab, bab=bb⟩

Back:⟨a, b | aaa=ab, bab=bb⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2], [3].

[2] bb=baaa

Axiom: bab=bb.

Reduce LHS:

[1]b(ab)
⇒ baaa

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[3] aaaaaa=aaaaa

Overlap of [1] ab=aaa with [2] bb=baaa:

a b bb

Critical pair: abaaa=aaab.

Reduce LHS:

[1](ab)aaa
⇒ aaaaaa

Reduce RHS:

[1]aa(ab)
⇒ aaaaa

Defines rule #1.