Certificate for #5650 ⟨a, b | aabaab=aabab⟩

Back:⟨a, b | aabaab=aabab⟩

Completion settings:

[1] aabaab=aabab

Axiom: aabaab=aabab.

Referenced by [3].

[2] aabab=c

Axiom: aabab=c.

Defines rule #3.

Referenced by [3], [5].

[3] aabaab=c

Simplify [1] aabaab=aabab.

Reduce RHS:

[2](aabab)
⇒ c

Defines rule #4.

Referenced by [4], [5].

[4] caab=aabc

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

aab aab aabaab

Critical pair: aabc=caab.

Flip LHS and RHS.

Defines rule #2.

[5] cab=aabc

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

aab aab aabab

Critical pair: aabc=cab.

Flip LHS and RHS.

Defines rule #1.