Certificate for #15428 ⟨a, b | aaa=aa, abbbb=b

Completion settings:

[1] aaa=aa

Axiom: aaa=aa.

Defines rule #2.

Referenced by [3].

[2] abbbb=b

Axiom: abbbb=b.

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

[3] aab=ab

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

aa a abbbb

Critical pair: aab=aabbbb.

Reduce RHS:

[2]a(abbbb)
ab

Referenced by [4].

[4] ab=b

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

a ab abbbb

Critical pair: ab=abbbb.

Reduce RHS:

[2](abbbb)
b

Defines rule #1.

Referenced by [5].

[5] bbbb=b

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

abbbb ab

Critical pair: bbbb=b.

Defines rule #3.