Certificate for #7142 ⟨a, b | bb=aa, aaab=ab⟩

Back:⟨a, b | bb=aa, aaab=ab⟩

Completion settings:

[1] bb=aa

Axiom: bb=aa.

Defines rule #1.

Referenced by [3], [4].

[2] aaab=ab

Axiom: aaab=ab.

Defines rule #3.

Referenced by [4], [5].

[3] baa=aab

Overlap of [1] bb=aa with [1] bb=aa:

b b bb

Critical pair: baa=aab.

Defines rule #2.

Referenced by [5].

[4] aaaaa=aaa

Overlap of [2] aaab=ab with [1] bb=aa:

aaa b bb

Critical pair: aaaaa=abb.

Reduce RHS:

[1]a(bb)
⇒ aaa

Defines rule #4.

[5] aabab=bab

Overlap of [3] baa=aab with [2] aaab=ab:

b aa aaab

Critical pair: bab=aabab.

Flip LHS and RHS.

Defines rule #5.