Certificate for #5849 ⟨a, b | abaaba=abaab

Completion settings:

[1] abaaba=abaab

Axiom: abaaba=abaab.

Referenced by [3].

[2] abaab=c

Axiom: abaab=c.

Defines rule #3.

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

[3] abaaba=c

Simplify [1] abaaba=abaab.

Reduce RHS:

[2](abaab)
c

Referenced by [4].

[4] ca=c

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

abaaba abaab

Critical pair: ca=c.

Defines rule #1.

Referenced by [5].

[5] cb=abac

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

aba ab abaab

Critical pair: abac=caab.

Reduce RHS:

[4](ca)ab
[4](ca)b
cb

Flip LHS and RHS.

Defines rule #2.