Certificate for #7034 ⟨a, b | bb=aa, aaaaa=a⟩

Completion settings:

[1] bb=aa

Axiom: bb=aa.

Defines rule #1.

Referenced by [3].

[2] aaaaa=a

Axiom: aaaaa=a.

Defines rule #3.

Referenced by [4].

[3] baa=aab

Overlap of [1] bb=aa with [1] bb=aa:

b b bb

Critical pair: baa=aab.

Defines rule #2.

Referenced by [4].

[4] aaaaba=ba

Overlap of [3] baa=aab with [2] aaaaa=a:

b aa aaaaa

Critical pair: ba=aabaaa.

Reduce RHS:

[3]aa(baa)a
⇒ aaaaba

Flip LHS and RHS.

Defines rule #4.