Certificate for #16371 ⟨a, b | aba=aa, bbbb=ab⟩

Back:⟨a, b | aba=aa, bbbb=ab⟩

Completion settings:

[1] aba=aa

Axiom: aba=aa.

Referenced by [3].

[2] ab=bbbb

Axiom: bbbb=ab.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aa=bbbba

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

aba ab

Critical pair: bbbba=aa.

Flip LHS and RHS.

Defines rule #3.

Referenced by [4].

[4] bbbbbbbb=bbbbbbb

Overlap of [3] aa=bbbba with [2] ab=bbbb:

a a ab

Critical pair: abbbb=bbbbab.

Reduce LHS:

[2](ab)bbb
⇒ bbbbbbb

Reduce RHS:

[2]bbbb(ab)
⇒ bbbbbbbb

Flip LHS and RHS.

Defines rule #1.