Certificate for #24460 ⟨a, b | ab=a, baaaaaa=a

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] baaaaaa=a

Axiom: baaaaaa=a.

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

[3] aaaaaaa=aa

Overlap of [1] ab=a with [2] baaaaaa=a:

a b baaaaaa

Critical pair: aa=aaaaaaa.

Flip LHS and RHS.

Referenced by [4].

[4] baa=aa

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

b aaaaaa aaaaaaa

Critical pair: baa=aa.

Referenced by [5], [6].

[5] aaaaaa=a

Overlap of [2] baaaaaa=a with [4] baa=aa:

baaaaaa baa

Critical pair: aaaaaa=a.

Defines rule #3.

Referenced by [6].

[6] ba=a

Overlap of [4] baa=aa with [5] aaaaaa=a:

b aa aaaaaa

Critical pair: ba=aaaaaa.

Reduce RHS:

[5](aaaaaa)
a

Defines rule #2.