Certificate for #541 ⟨a, b | abaab=baa

Completion settings:

[1] abaab=baa

Axiom: abaab=baa.

Referenced by [3].

[2] baa=c

Axiom: baa=c.

Defines rule #2.

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

[3] abaab=c

Simplify [1] abaab=baa.

Reduce RHS:

[2](baa)
c

Referenced by [4].

[4] acb=c

Overlap of [3] abaab=c with [2] baa=c:

a baab baa

Critical pair: acb=c.

Defines rule #1.

Referenced by [5], [6].

[5] ccb=bac

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

ba a acb

Critical pair: bac=ccb.

Flip LHS and RHS.

Defines rule #4.

[6] caa=acc

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

ac b baa

Critical pair: acc=caa.

Flip LHS and RHS.

Defines rule #3.