Certificate for #2744 ⟨a, b | baaab=aabba⟩

Back:⟨a, b | baaab=aabba⟩

Completion settings:

[1] baaab=aabba

Axiom: baaab=aabba.

Referenced by [3].

[2] aabba=c

Axiom: aabba=c.

Defines rule #3.

Referenced by [3], [4], [6], [7].

[3] baaab=c

Simplify [1] baaab=aabba.

Reduce RHS:

[2](aabba)
⇒ c

Defines rule #4.

Referenced by [5], [6], [7].

[4] cabba=aabbc

Overlap of [2] aabba=c with [2] aabba=c:

aabb a aabba

Critical pair: aabbc=cabba.

Flip LHS and RHS.

Defines rule #6.

[5] caaab=baaac

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

baaa b baaab

Critical pair: baaac=caaab.

Flip LHS and RHS.

Defines rule #5.

[6] cba=bac

Overlap of [3] baaab=c with [2] aabba=c:

ba aab aabba

Critical pair: bac=cba.

Flip LHS and RHS.

Defines rule #1.

[7] caab=aabc

Overlap of [2] aabba=c with [3] baaab=c:

aab ba baaab

Critical pair: aabc=caab.

Flip LHS and RHS.

Defines rule #2.