Certificate for #15479 ⟨a, b | aaa=ab, baabb=a⟩

Back:⟨a, b | aaa=ab, baabb=a⟩

Completion settings:

[1] ab=aaa

Axiom: aaa=ab.

Flip LHS and RHS.

Defines rule #3.

Referenced by [2], [3].

[2] baaaaaa=a

Axiom: baabb=a.

Reduce LHS:

[1]ba(ab)b
[1]⇒ baaa(ab)
⇒ baaaaaa

Referenced by [3], [4], [5], [6].

[3] aaaaaaaaa=aa

Overlap of [1] ab=aaa with [2] baaaaaa=a:

a b baaaaaa

Critical pair: aa=aaaaaaaaa.

Flip LHS and RHS.

Referenced by [4].

[4] baa=aaaa

Overlap of [2] baaaaaa=a with [3] aaaaaaaaa=aa:

b aaaaaa aaaaaaaaa

Critical pair: baa=aaaa.

Referenced by [5].

[5] aaaaaaaa=a

Overlap of [2] baaaaaa=a with [4] baa=aaaa:

baaaaaa baa

Critical pair: aaaaaaaa=a.

Defines rule #1.

Referenced by [6].

[6] ba=aaa

Overlap of [2] baaaaaa=a with [5] aaaaaaaa=a:

b aaaaaa aaaaaaaa

Critical pair: ba=aaa.

Defines rule #2.