Certificate for #5072 ⟨a, b | aaa=ab, bbbb=a⟩

Back:⟨a, b | aaa=ab, bbbb=a⟩

Completion settings:

[1] aaa=ab

Axiom: aaa=ab.

Referenced by [3].

[2] a=bbbb

Axiom: bbbb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aaa=bbbbb

Simplify [1] aaa=ab.

Reduce RHS:

[2](a)b
⇒ bbbbb

Referenced by [4].

[4] bbbbbbbbbbbb=bbbbb

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

aaa a

Critical pair: bbbbaa=bbbbb.

Reduce LHS:

[2]bbbb(a)a
[2]⇒ bbbbbbbb(a)
⇒ bbbbbbbbbbbb

Defines rule #1.