Certificate for #2463 ⟨a, b | aaabba=baba⟩

Back:⟨a, b | aaabba=baba⟩

Completion settings:

[1] aaabba=baba

Axiom: aaabba=baba.

Referenced by [3].

[2] baba=c

Axiom: baba=c.

Defines rule #3.

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

[3] aaabba=c

Simplify [1] aaabba=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] aaabbc=caabba

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

aaabb a aaabba

Critical pair: aaabbc=caabba.

Defines rule #6.

[6] aaabc=cba

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

aaab ba baba

Critical pair: aaabc=cba.

Defines rule #2.

[7] babc=caabba

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

bab a aaabba

Critical pair: babc=caabba.

Defines rule #5.