Certificate for #5291 ⟨a, b | abaaaab=baba⟩

Back:⟨a, b | abaaaab=baba⟩

Completion settings:

[1] abaaaab=baba

Axiom: abaaaab=baba.

Referenced by [3].

[2] baba=c

Axiom: baba=c.

Defines rule #5.

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

[3] abaaaab=c

Simplify [1] abaaaab=baba.

Reduce RHS:

[2](baba)
⇒ c

Defines rule #6.

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

[4] cba=bac

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

ba ba baba

Critical pair: bac=cba.

Flip LHS and RHS.

Defines rule #1.

[5] caaaab=abaaac

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

abaaa ab abaaaab

Critical pair: abaaac=caaaab.

Flip LHS and RHS.

Defines rule #4.

[6] caba=abaaaac

Overlap of [3] abaaaab=c with [2] baba=c:

abaaaa b baba

Critical pair: abaaaac=caba.

Flip LHS and RHS.

Defines rule #2.

[7] caaab=bc

Overlap of [2] baba=c with [3] abaaaab=c:

b aba abaaaab

Critical pair: bc=caaab.

Flip LHS and RHS.

Defines rule #3.