Certificate for #936 ⟨a, b | ab=a, baaa=a

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] baaa=a

Axiom: baaa=a.

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

[3] aaaa=aa

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

a b baaa

Critical pair: aa=aaaa.

Flip LHS and RHS.

Referenced by [4].

[4] baa=aa

Overlap of [2] baaa=a with [3] aaaa=aa:

b aaa aaaa

Critical pair: baa=aa.

Referenced by [5], [6].

[5] aaa=a

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

baaa baa

Critical pair: aaa=a.

Defines rule #3.

Referenced by [6].

[6] ba=a

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

b aa aaa

Critical pair: ba=aaa.

Reduce RHS:

[5](aaa)
a

Defines rule #2.