Certificate for #15503 ⟨a, b | aaa=ab, bbbbb=a⟩

Back:⟨a, b | aaa=ab, bbbbb=a⟩

Completion settings:

[1] aaa=ab

Axiom: aaa=ab.

Referenced by [3].

[2] a=bbbbb

Axiom: bbbbb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aaa=bbbbbb

Simplify [1] aaa=ab.

Reduce RHS:

[2](a)b
⇒ bbbbbb

Referenced by [4].

[4] bbbbbbbbbbbbbbb=bbbbbb

Overlap of [3] aaa=bbbbbb with [2] a=bbbbb:

aaa a

Critical pair: bbbbbaa=bbbbbb.

Reduce LHS:

[2]bbbbb(a)a
[2]⇒ bbbbbbbbbb(a)
⇒ bbbbbbbbbbbbbbb

Defines rule #1.