Certificate for #5682 ⟨a, b | aababa=aabab⟩

Back:⟨a, b | aababa=aabab⟩

Completion settings:

[1] aababa=aabab

Axiom: aababa=aabab.

Referenced by [3].

[2] aabab=c

Axiom: aabab=c.

Defines rule #3.

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

[3] aababa=c

Simplify [1] aababa=aabab.

Reduce RHS:

[2](aabab)
⇒ c

Referenced by [4].

[4] ca=c

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

aababa aabab

Critical pair: ca=c.

Defines rule #1.

Referenced by [5].

[5] cbab=cc

Overlap of [4] ca=c with [2] aabab=c:

c a aabab

Critical pair: cc=cabab.

Reduce RHS:

[4](ca)bab
⇒ cbab

Flip LHS and RHS.

Defines rule #2.