Certificate for #1598 ⟨a, b | aaa=ab, bbb=a⟩

Back:⟨a, b | aaa=ab, bbb=a⟩

Completion settings:

[1] aaa=ab

Axiom: aaa=ab.

Referenced by [3].

[2] a=bbb

Axiom: bbb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aaa=bbbb

Simplify [1] aaa=ab.

Reduce RHS:

[2](a)b
⇒ bbbb

Referenced by [4].

[4] bbbbbbbbb=bbbb

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

aaa a

Critical pair: bbbaa=bbbb.

Reduce LHS:

[2]bbb(a)a
[2]⇒ bbbbbb(a)
⇒ bbbbbbbbb

Defines rule #1.