Certificate for #2611 ⟨a, b, c | aba=b, baac=1⟩

Back:⟨a, b, c | aba=b, baac=1⟩

Completion settings:

[1] aba=b

Axiom: aba=b.

Defines rule #2.

Referenced by [3], [4], [5].

[2] baac=1

Axiom: baac=1.

Defines rule #5.

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 #4.

[4] bac=a

Overlap of [1] aba=b with [2] baac=1:

a ba baac

Critical pair: a=bac.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

[5] bc=aa

Overlap of [1] aba=b with [4] bac=a:

a ba bac

Critical pair: aa=bc.

Flip LHS and RHS.

Defines rule #1.