Certificate for #1123 ⟨a, b | aa=1, abbbb=b

Completion settings:

[1] aa=1

Axiom: aa=1.

Defines rule #3.

Referenced by [3], [4].

[2] abbbb=b

Axiom: abbbb=b.

Referenced by [3].

[3] ab=bbbb

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

a a abbbb

Critical pair: ab=bbbb.

Defines rule #2.

Referenced by [4].

[4] bbbbbbb=b

Overlap of [1] aa=1 with [3] ab=bbbb:

a a ab

Critical pair: abbbb=b.

Reduce LHS:

[3](ab)bbb
bbbbbbb

Defines rule #1.