Certificate for #5314 ⟨a, b | aaa=ab, aab=bb⟩

Back:⟨a, b | aaa=ab, aab=bb⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [2], [3].

[2] bb=aaaa

Axiom: aab=bb.

Reduce LHS:

[1]a(ab)
⇒ aaaa

Flip LHS and RHS.

Defines rule #3.

Referenced by [3].

[3] baaaa=aaaaaa

Overlap of [2] bb=aaaa with [2] bb=aaaa:

b b bb

Critical pair: baaaa=aaaab.

Reduce RHS:

[1]aaa(ab)
⇒ aaaaaa

Defines rule #1.