Certificate for #15979 ⟨a, b | aaa=aa, bbbb=ab

Completion settings:

[1] aaa=aa

Axiom: aaa=aa.

Defines rule #3.

Referenced by [3].

[2] ab=bbbb

Axiom: bbbb=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3].

[3] bbbbbbbbbb=bbbbbbb

Overlap of [1] aaa=aa with [2] ab=bbbb:

aa a ab

Critical pair: aabbbb=aab.

Reduce LHS:

[2]a(ab)bbb
[2](ab)bbbbbb
bbbbbbbbbb

Reduce RHS:

[2]a(ab)
[2](ab)bbb
bbbbbbb

Defines rule #1.