Certificate for #2677 ⟨a, b | abaab=abaaa⟩

Back:⟨a, b | abaab=abaaa⟩

Completion settings:

[1] abaab=abaaa

Axiom: abaab=abaaa.

Referenced by [3].

[2] abaaa=c

Axiom: abaaa=c.

Defines rule #3.

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

[3] abaab=c

Simplify [1] abaab=abaaa.

Reduce RHS:

[2](abaaa)
⇒ c

Defines rule #4.

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

[4] cbaaa=abaac

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

abaa a abaaa

Critical pair: abaac=cbaaa.

Flip LHS and RHS.

Defines rule #5.

[5] caab=abac

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

aba ab abaab

Critical pair: abac=caab.

Flip LHS and RHS.

Defines rule #2.

[6] caaa=abac

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

aba ab abaaa

Critical pair: abac=caaa.

Flip LHS and RHS.

Defines rule #1.

[7] cbaab=abaac

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

abaa a abaab

Critical pair: abaac=cbaab.

Flip LHS and RHS.

Defines rule #6.