Certificate for #5615 ⟨a, b | aaabba=baaba⟩

Back:⟨a, b | aaabba=baaba⟩

Completion settings:

[1] aaabba=baaba

Axiom: aaabba=baaba.

Referenced by [3].

[2] baaba=c

Axiom: baaba=c.

Defines rule #3.

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

[3] aaabba=c

Simplify [1] aaabba=baaba.

Reduce RHS:

[2](baaba)
⇒ c

Defines rule #4.

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

[4] baac=caba

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

baa ba baaba

Critical pair: baac=caba.

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=caba

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

aaab ba baaba

Critical pair: aaabc=caba.

Defines rule #2.

[7] baabc=caabba

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

baab a aaabba

Critical pair: baabc=caabba.

Defines rule #5.