Certificate for #20584 ⟨a, b | ab=aa, baaaaa=a⟩

Back:⟨a, b | ab=aa, baaaaa=a⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] baaaaa=a

Axiom: baaaaa=a.

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

[3] aaaaaaa=aa

Overlap of [1] ab=aa with [2] baaaaa=a:

a b baaaaa

Critical pair: aa=aaaaaaa.

Flip LHS and RHS.

Referenced by [4].

[4] baa=aaa

Overlap of [2] baaaaa=a with [3] aaaaaaa=aa:

b aaaaa aaaaaaa

Critical pair: baa=aaa.

Referenced by [5].

[5] aaaaaa=a

Overlap of [2] baaaaa=a with [4] baa=aaa:

baaaaa baa

Critical pair: aaaaaa=a.

Defines rule #3.

Referenced by [6].

[6] ba=aa

Overlap of [2] baaaaa=a with [5] aaaaaa=a:

b aaaaa aaaaaa

Critical pair: ba=aa.

Defines rule #2.