Certificate for #5387 ⟨a, b | abbaaab=abba⟩

Back:⟨a, b | abbaaab=abba⟩

Completion settings:

[1] abbaaab=abba

Axiom: abbaaab=abba.

Referenced by [3].

[2] abba=c

Axiom: abba=c.

Defines rule #2.

Referenced by [3], [4], [5], [6].

[3] abbaaab=c

Simplify [1] abbaaab=abba.

Reduce RHS:

[2](abba)
⇒ c

Referenced by [4].

[4] caab=c

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

abbaaab abba

Critical pair: caab=c.

Defines rule #3.

Referenced by [6].

[5] cbba=abbc

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

abb a abba

Critical pair: abbc=cbba.

Flip LHS and RHS.

Defines rule #4.

[6] cba=cac

Overlap of [4] caab=c with [2] abba=c:

ca ab abba

Critical pair: cac=cba.

Flip LHS and RHS.

Defines rule #1.