Certificate for #5035 ⟨a, b | aaa=aa, abbb=b

Completion settings:

[1] aaa=aa

Axiom: aaa=aa.

Defines rule #2.

Referenced by [3].

[2] abbb=b

Axiom: abbb=b.

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

[3] aab=ab

Overlap of [1] aaa=aa with [2] abbb=b:

aa a abbb

Critical pair: aab=aabbb.

Reduce RHS:

[2]a(abbb)
ab

Referenced by [4].

[4] ab=b

Overlap of [3] aab=ab with [2] abbb=b:

a ab abbb

Critical pair: ab=abbb.

Reduce RHS:

[2](abbb)
b

Defines rule #1.

Referenced by [5].

[5] bbb=b

Overlap of [2] abbb=b with [4] ab=b:

abbb ab

Critical pair: bbb=b.

Defines rule #3.