Certificate for #24988 ⟨a, b | ab=a, baaaaa=aa

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] baaaaa=aa

Axiom: baaaaa=aa.

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

[3] aaaaaa=aaa

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

a b baaaaa

Critical pair: aaa=aaaaaa.

Flip LHS and RHS.

Referenced by [4].

[4] baaa=aaa

Overlap of [2] baaaaa=aa with [3] aaaaaa=aaa:

b aaaaa aaaaaa

Critical pair: baaa=aaa.

Referenced by [5], [6].

[5] aaaaa=aa

Overlap of [2] baaaaa=aa with [4] baaa=aaa:

baaaaa baaa

Critical pair: aaaaa=aa.

Defines rule #3.

Referenced by [6].

[6] baa=aa

Overlap of [4] baaa=aaa with [5] aaaaa=aa:

b aaa aaaaa

Critical pair: baa=aaaaa.

Reduce RHS:

[5](aaaaa)
aa

Defines rule #2.