Certificate for #15600 ⟨a, b | aab=aa, bbabb=b⟩

Back:⟨a, b | aab=aa, bbabb=b⟩

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Defines rule #2.

Referenced by [3].

[2] bbabb=b

Axiom: bbabb=b.

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

[3] aaa=aa

Overlap of [1] aab=aa with [2] bbabb=b:

aa b bbabb

Critical pair: aab=aababb.

Reduce LHS:

[1](aab)
⇒ aa

Reduce RHS:

[1](aab)abb
[1]⇒ a(aab)b
[1]⇒ a(aab)
⇒ aaa

Flip LHS and RHS.

Defines rule #1.

[4] bbab=babb

Overlap of [2] bbabb=b with [2] bbabb=b:

bba bb bbabb

Critical pair: bbab=babb.

Defines rule #3.

Referenced by [5].

[5] babbb=b

Overlap of [2] bbabb=b with [4] bbab=babb:

bbabb bbab

Critical pair: babbb=b.

Defines rule #4.