Certificate for #6982 ⟨a, b | ab=aa, baaaa=a⟩

Back:⟨a, b | ab=aa, baaaa=a⟩

Completion settings:

[1] ab=aa

Axiom: ab=aa.

Defines rule #1.

Referenced by [3].

[2] baaaa=a

Axiom: baaaa=a.

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

[3] aaaaaa=aa

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

a b baaaa

Critical pair: aa=aaaaaa.

Flip LHS and RHS.

Referenced by [4].

[4] baa=aaa

Overlap of [2] baaaa=a with [3] aaaaaa=aa:

b aaaa aaaaaa

Critical pair: baa=aaa.

Referenced by [5].

[5] aaaaa=a

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

baaaa baa

Critical pair: aaaaa=a.

Defines rule #3.

Referenced by [6].

[6] ba=aa

Overlap of [2] baaaa=a with [5] aaaaa=a:

b aaaa aaaaa

Critical pair: ba=aa.

Defines rule #2.