Certificate for #2221 ⟨a, b | aabaaba=bba⟩

Back:⟨a, b | aabaaba=bba⟩

Completion settings:

[1] aabaaba=bba

Axiom: aabaaba=bba.

Referenced by [3].

[2] bba=c

Axiom: bba=c.

Defines rule #2.

Referenced by [3], [5].

[3] aabaaba=c

Simplify [1] aabaaba=bba.

Reduce RHS:

[2](bba)
⇒ c

Defines rule #3.

Referenced by [4], [5].

[4] aabc=caba

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

aab aaba aabaaba

Critical pair: aabc=caba.

Defines rule #1.

[5] bbc=cabaaba

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

bb a aabaaba

Critical pair: bbc=cabaaba.

Defines rule #4.