Certificate for #1075 ⟨a, b | aababa=bba⟩

Back:⟨a, b | aababa=bba⟩

Completion settings:

[1] aababa=bba

Axiom: aababa=bba.

Referenced by [3].

[2] bba=c

Axiom: bba=c.

Defines rule #1.

Referenced by [3], [5].

[3] aababa=c

Simplify [1] aababa=bba.

Reduce RHS:

[2](bba)
⇒ c

Defines rule #2.

Referenced by [4], [5].

[4] aababc=cababa

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

aabab a aababa

Critical pair: aababc=cababa.

Defines rule #4.

[5] bbc=cababa

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

bb a aababa

Critical pair: bbc=cababa.

Defines rule #3.