Certificate for #1233 ⟨a, b | aabba=baba⟩

Back:⟨a, b | aabba=baba⟩

Completion settings:

[1] aabba=baba

Axiom: aabba=baba.

Referenced by [3].

[2] baba=c

Axiom: baba=c.

Defines rule #3.

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

[3] aabba=c

Simplify [1] aabba=baba.

Reduce RHS:

[2](baba)
⇒ c

Defines rule #4.

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] aabbc=cabba

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

aabb a aabba

Critical pair: aabbc=cabba.

Defines rule #6.

[6] aabc=cba

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

aab ba baba

Critical pair: aabc=cba.

Defines rule #2.

[7] babc=cabba

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

bab a aabba

Critical pair: babc=cabba.

Defines rule #5.