Certificate for #2489 ⟨a, b | aabaab=baba⟩

Back:⟨a, b | aabaab=baba⟩

Completion settings:

[1] aabaab=baba

Axiom: aabaab=baba.

Referenced by [3].

[2] baba=c

Axiom: baba=c.

Defines rule #4.

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

[3] aabaab=c

Simplify [1] aabaab=baba.

Reduce RHS:

[2](baba)
⇒ c

Defines rule #5.

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

[4] bac=cba

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

ba ba baba

Critical pair: bac=cba.

Defines rule #1.

[5] aabc=caab

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

aab aab aabaab

Critical pair: aabc=caab.

Defines rule #2.

[6] aabaac=caba

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

aabaa b baba

Critical pair: aabaac=caba.

Defines rule #3.

[7] babc=cabaab

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

bab a aabaab

Critical pair: babc=cabaab.

Defines rule #6.