Certificate for #2752 ⟨a, b | baaba=abbab⟩

Back:⟨a, b | baaba=abbab⟩

Completion settings:

[1] baaba=abbab

Axiom: baaba=abbab.

Referenced by [3].

[2] abbab=c

Axiom: abbab=c.

Defines rule #3.

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

[3] baaba=c

Simplify [1] baaba=abbab.

Reduce RHS:

[2](abbab)
⇒ c

Defines rule #4.

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

[4] cbab=abbc

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

abb ab abbab

Critical pair: abbc=cbab.

Flip LHS and RHS.

Defines rule #2.

[5] caba=baac

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

baa ba baaba

Critical pair: baac=caba.

Flip LHS and RHS.

Defines rule #1.

[6] cbbab=baabc

Overlap of [3] baaba=c with [2] abbab=c:

baab a abbab

Critical pair: baabc=cbbab.

Flip LHS and RHS.

Defines rule #6.

[7] caaba=abbac

Overlap of [2] abbab=c with [3] baaba=c:

abba b baaba

Critical pair: abbac=caaba.

Flip LHS and RHS.

Defines rule #5.