Certificate for #3104 ⟨a, b | ab=a, baaa=aa

Completion settings:

[1] ab=a

Axiom: ab=a.

Defines rule #1.

Referenced by [3].

[2] baaa=aa

Axiom: baaa=aa.

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

[3] aaaa=aaa

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

a b baaa

Critical pair: aaa=aaaa.

Flip LHS and RHS.

Referenced by [4].

[4] aaa=aa

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

b aaa aaaa

Critical pair: baaa=aaa.

Reduce LHS:

[2](baaa)
aa

Flip LHS and RHS.

Defines rule #2.

Referenced by [5].

[5] baa=aa

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

b aaa aaa

Critical pair: baa=aa.

Defines rule #3.