Certificate for #6259 ⟨a, b | aaa=a, ababb=b

Completion settings:

[1] aaa=a

Axiom: aaa=a.

Defines rule #1.

Referenced by [3].

[2] ababb=b

Axiom: ababb=b.

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

[3] aab=b

Overlap of [1] aaa=a with [2] ababb=b:

aa a ababb

Critical pair: aab=ababb.

Reduce RHS:

[2](ababb)
b

Defines rule #2.

Referenced by [4].

[4] babb=ab

Overlap of [3] aab=b with [2] ababb=b:

a ab ababb

Critical pair: ab=babb.

Flip LHS and RHS.

Defines rule #3.

Referenced by [5].

[5] babab=b

Overlap of [4] babb=ab with [4] babb=ab:

bab b babb

Critical pair: babab=ababb.

Reduce RHS:

[2](ababb)
b

Defines rule #4.