Certificate for #2720 ⟨a, b | abbba=abaab⟩

Back:⟨a, b | abbba=abaab⟩

Completion settings:

[1] abbba=abaab

Axiom: abbba=abaab.

Referenced by [3].

[2] abaab=c

Axiom: abaab=c.

Defines rule #3.

Referenced by [3], [4], [6], [7].

[3] abbba=c

Simplify [1] abbba=abaab.

Reduce RHS:

[2](abaab)
⇒ c

Defines rule #4.

Referenced by [5], [6], [7].

[4] caab=abac

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

aba ab abaab

Critical pair: abac=caab.

Flip LHS and RHS.

Defines rule #1.

[5] cbbba=abbbc

Overlap of [3] abbba=c with [3] abbba=c:

abbb a abbba

Critical pair: abbbc=cbbba.

Flip LHS and RHS.

Defines rule #6.

[6] cbaab=abbbc

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

abbb a abaab

Critical pair: abbbc=cbaab.

Flip LHS and RHS.

Defines rule #5.

[7] cbba=abac

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

aba ab abbba

Critical pair: abac=cbba.

Flip LHS and RHS.

Defines rule #2.