Certificate for #3488 ⟨a, b | aaabbaabaa=a⟩

Back:⟨a, b | aaabbaabaa=a⟩

Completion settings:

[1] aaabbaabaa=a

Axiom: aaabbaabaa=a.

Referenced by [2], [3], [4].

[2] aabbaabaa=aaabbaaba

Overlap of [1] aaabbaabaa=a with [1] aaabbaabaa=a:

aaabbaab aa aaabbaabaa

Critical pair: aaabbaaba=aabbaabaa.

Flip LHS and RHS.

Referenced by [3], [4].

[3] abbaabaa=aabbaaba

Overlap of [1] aaabbaabaa=a with [2] aabbaabaa=aaabbaaba:

aaabbaab aa aabbaabaa

Critical pair: aaabbaabaaabbaaba=abbaabaa.

Reduce LHS:

[1](aaabbaabaa)abbaaba
⇒ aabbaaba

Flip LHS and RHS.

Defines rule #1.

[4] aaaabbaaba=a

Overlap of [1] aaabbaabaa=a with [2] aabbaabaa=aaabbaaba:

a aabbaabaa aabbaabaa

Critical pair: aaaabbaaba=a.

Defines rule #2.