Certificate for #4729 ⟨a, b | aabbbaba=bba⟩

Back:⟨a, b | aabbbaba=bba⟩

Completion settings:

[1] aabbbaba=bba

Axiom: aabbbaba=bba.

Referenced by [3].

[2] bba=c

Axiom: bba=c.

Defines rule #1.

Referenced by [3], [4], [5].

[3] aabbbaba=c

Simplify [1] aabbbaba=bba.

Reduce RHS:

[2](bba)
⇒ c

Referenced by [4].

[4] aabcba=c

Overlap of [3] aabbbaba=c with [2] bba=c:

aab bbaba bba

Critical pair: aabcba=c.

Defines rule #2.

Referenced by [5], [6].

[5] bbc=cabcba

Overlap of [2] bba=c with [4] aabcba=c:

bb a aabcba

Critical pair: bbc=cabcba.

Defines rule #3.

[6] aabcbc=cabcba

Overlap of [4] aabcba=c with [4] aabcba=c:

aabcb a aabcba

Critical pair: aabcbc=cabcba.

Defines rule #4.