Certificate for #15591 ⟨a, b | aab=aa, babbb=a

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #1.

Referenced by [3], [4], [5].

[2] babbb=a

Axiom: babbb=a.

Defines rule #5.

Referenced by [3], [4], [5].

[3] babba=aa

Overlap of [2] babbb=a with [2] babbb=a:

babb b babbb

Critical pair: babba=aabbb.

Reduce RHS:

[1](aab)bb
[1](aab)b
[1](aab)
aa

Defines rule #4.

Referenced by [4].

[4] baba=aa

Overlap of [3] babba=aa with [2] babbb=a:

bab ba babbb

Critical pair: baba=aabbb.

Reduce RHS:

[1](aab)bb
[1](aab)b
[1](aab)
aa

Defines rule #3.

Referenced by [5].

[5] baa=aa

Overlap of [4] baba=aa with [2] babbb=a:

ba ba babbb

Critical pair: baa=aabbb.

Reduce RHS:

[1](aab)bb
[1](aab)b
[1](aab)
aa

Defines rule #2.