Certificate for #16028 ⟨a, b | aaa=ab, babb=bb⟩

Back:⟨a, b | aaa=ab, babb=bb⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2], [3].

[2] bb=baaaaa

Axiom: babb=bb.

Reduce LHS:

[1]b(ab)b
[1]⇒ baa(ab)
⇒ baaaaa

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[3] aaaaaaaa=aaaaa

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

a b bb

Critical pair: abaaaaa=aaab.

Reduce LHS:

[1](ab)aaaaa
⇒ aaaaaaaa

Reduce RHS:

[1]aa(ab)
⇒ aaaaa

Defines rule #1.