Certificate for #2571 ⟨a, b | abaaab=baaa⟩

Back:⟨a, b | abaaab=baaa⟩

Completion settings:

[1] abaaab=baaa

Axiom: abaaab=baaa.

Referenced by [3].

[2] baaa=c

Axiom: baaa=c.

Defines rule #2.

Referenced by [3], [4], [5], [6].

[3] abaaab=c

Simplify [1] abaaab=baaa.

Reduce RHS:

[2](baaa)
⇒ c

Referenced by [4].

[4] acb=c

Overlap of [3] abaaab=c with [2] baaa=c:

a baaab baaa

Critical pair: acb=c.

Defines rule #3.

Referenced by [5], [6].

[5] ccb=baac

Overlap of [2] baaa=c with [4] acb=c:

baa a acb

Critical pair: baac=ccb.

Flip LHS and RHS.

Defines rule #4.

[6] caaa=acc

Overlap of [4] acb=c with [2] baaa=c:

ac b baaa

Critical pair: acc=caaa.

Flip LHS and RHS.

Defines rule #1.