Certificate for #7139 ⟨a, b | bb=aa, aaaa=ab⟩

Back:⟨a, b | bb=aa, aaaa=ab⟩

Completion settings:

[1] bb=aa

Axiom: bb=aa.

Defines rule #4.

Referenced by [3], [4].

[2] ab=aaaa

Axiom: aaaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [3], [4].

[3] baa=aaaaa

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

b b bb

Critical pair: baa=aab.

Reduce RHS:

[2]a(ab)
⇒ aaaaa

Defines rule #2.

[4] aaaaaaa=aaa

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

a b bb

Critical pair: aaa=aaaab.

Reduce RHS:

[2]aaa(ab)
⇒ aaaaaaa

Flip LHS and RHS.

Defines rule #1.