Certificate for #2743 ⟨a, b | baaab=aabaa⟩

Back:⟨a, b | baaab=aabaa⟩

Completion settings:

[1] baaab=aabaa

Axiom: baaab=aabaa.

Referenced by [3].

[2] aabaa=c

Axiom: aabaa=c.

Defines rule #4.

Referenced by [3], [4], [5], [6].

[3] baaab=c

Simplify [1] baaab=aabaa.

Reduce RHS:

[2](aabaa)
⇒ c

Defines rule #5.

Referenced by [5], [6].

[4] cbaa=aabc

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

aab aa aabaa

Critical pair: aabc=cbaa.

Flip LHS and RHS.

Defines rule #3.

[5] caa=bac

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

ba aab aabaa

Critical pair: bac=caa.

Flip LHS and RHS.

Defines rule #1.

[6] cab=aac

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

aa baa baaab

Critical pair: aac=cab.

Flip LHS and RHS.

Defines rule #2.