Certificate for #2746 ⟨a, b | baaab=abbba⟩

Back:⟨a, b | baaab=abbba⟩

Completion settings:

[1] baaab=abbba

Axiom: baaab=abbba.

Referenced by [3].

[2] abbba=c

Axiom: abbba=c.

Defines rule #3.

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

[3] baaab=c

Simplify [1] baaab=abbba.

Reduce RHS:

[2](abbba)
⇒ c

Defines rule #4.

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

[4] cbbba=abbbc

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

abbb a abbba

Critical pair: abbbc=cbbba.

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] cbba=baac

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

baa ab abbba

Critical pair: baac=cbba.

Flip LHS and RHS.

Defines rule #2.

[7] caab=abbc

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

abb ba baaab

Critical pair: abbc=caab.

Flip LHS and RHS.

Defines rule #1.