Certificate for #3151 ⟨a, b | aa=a, bbb=aba⟩

Completion settings:

[1] aa=a

Axiom: aa=a.

Defines rule #1.

Referenced by [4].

[2] bbb=aba

Axiom: bbb=aba.

Defines rule #2.

Referenced by [3].

[3] baba=abab

Overlap of [2] bbb=aba with [2] bbb=aba:

b bb bbb

Critical pair: baba=abab.

Defines rule #3.

Referenced by [4].

[4] ababba=ababb

Overlap of [3] baba=abab with [3] baba=abab:

ba ba baba

Critical pair: baabab=ababba.

Reduce LHS:

[1]b(aa)bab
[3]⇒ (baba)b
⇒ ababb

Flip LHS and RHS.

Defines rule #4.