Certificate for #9048 ⟨a, b | ab=a, baaaa=aa

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] baaaa=aa

Axiom: baaaa=aa.

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

[3] aaaaa=aaa

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

a b baaaa

Critical pair: aaa=aaaaa.

Flip LHS and RHS.

Referenced by [4].

[4] baaa=aaa

Overlap of [2] baaaa=aa with [3] aaaaa=aaa:

b aaaa aaaaa

Critical pair: baaa=aaa.

Referenced by [5], [6].

[5] aaaa=aa

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

baaaa baaa

Critical pair: aaaa=aa.

Defines rule #3.

Referenced by [6].

[6] baa=aa

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

b aaa aaaa

Critical pair: baa=aaaa.

Reduce RHS:

[5](aaaa)
aa

Defines rule #2.