Certificate for #6512 ⟨a, b | aba=b, abbbb=a

Completion settings:

[1] aba=b

Axiom: aba=b.

Defines rule #1.

Referenced by [3], [4].

[2] abbbb=a

Axiom: abbbb=a.

Defines rule #3.

Referenced by [4].

[3] bba=abb

Overlap of [1] aba=b with [1] aba=b:

ab a aba

Critical pair: abb=bba.

Flip LHS and RHS.

Defines rule #2.

[4] bbbbb=b

Overlap of [1] aba=b with [2] abbbb=a:

ab a abbbb

Critical pair: aba=bbbbb.

Reduce LHS:

[1](aba)
b

Flip LHS and RHS.

Defines rule #4.