Certificate for #1108 ⟨a, b | abaaab=bab⟩

Back:⟨a, b | abaaab=bab⟩

Completion settings:

[1] abaaab=bab

Axiom: abaaab=bab.

Referenced by [3].

[2] bab=c

Axiom: bab=c.

Defines rule #5.

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

[3] abaaab=c

Simplify [1] abaaab=bab.

Reduce RHS:

[2](bab)
⇒ c

Defines rule #6.

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

[4] bac=cab

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

ba b bab

Critical pair: bac=cab.

Defines rule #2.

[5] abaac=caaab

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

abaa ab abaaab

Critical pair: abaac=caaab.

Defines rule #3.

[6] abaaac=cab

Overlap of [3] abaaab=c with [2] bab=c:

abaaa b bab

Critical pair: abaaac=cab.

Defines rule #4.

[7] bc=caaab

Overlap of [2] bab=c with [3] abaaab=c:

b ab abaaab

Critical pair: bc=caaab.

Defines rule #1.