Certificate for #587 ⟨a, b | baab=abba⟩

Back:⟨a, b | baab=abba⟩

Completion settings:

[1] baab=abba

Axiom: baab=abba.

Referenced by [3].

[2] abba=c

Axiom: abba=c.

Defines rule #3.

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

[3] baab=c

Simplify [1] baab=abba.

Reduce RHS:

[2](abba)
⇒ c

Defines rule #4.

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

[4] cbba=abbc

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

abb a abba

Critical pair: abbc=cbba.

Flip LHS and RHS.

Defines rule #6.

[5] caab=baac

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

baa b baab

Critical pair: baac=caab.

Flip LHS and RHS.

Defines rule #5.

[6] cba=bac

Overlap of [3] baab=c with [2] abba=c:

ba ab abba

Critical pair: bac=cba.

Flip LHS and RHS.

Defines rule #2.

[7] cab=abc

Overlap of [2] abba=c with [3] baab=c:

ab ba baab

Critical pair: abc=cab.

Flip LHS and RHS.

Defines rule #1.