Certificate for #898 ⟨a, b | aa=a, bbbb=a

Completion settings:

[1] aa=a

Axiom: aa=a.

Referenced by [3].

[2] a=bbbb

Axiom: bbbb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aa=bbbb

Simplify [1] aa=a.

Reduce RHS:

[2](a)
bbbb

Referenced by [4].

[4] bbbbbbbb=bbbb

Overlap of [3] aa=bbbb with [2] a=bbbb:

aa a

Critical pair: bbbba=bbbb.

Reduce LHS:

[2]bbbb(a)
bbbbbbbb

Defines rule #1.