Hey Guys, I understand that the padding trick allows us to translate complexity classes upwards - for example $P=NP \rightarrow EXP=NEXP$. Padding works by "inflating" the input, running the conversion (say from say $NP$ to $P$), which yields a "magic" algorithm which you can run on the padded input. While this makes technical sense, I can't get a good intuition of how this works. What exactly is going on here? Is there a simple analogy for what padding is?

Can provide a common sense reason why this is the case?

Hey Guys, I understand that the padding trick allows us to translate complexity classes upwards - for example $P=NP \rightarrow EXP=NEXP$. Padding works by "inflating" the input, running the conversion (say from say $NP$ to $P$), which yields a "magic" algorithm which you can run on the padded input. While this makes technical sense, I can't get a good intuition of how this works. What exactly is going on here? Is there a simple analogy for what padding is?

Can provide a common sense reason why this is the case?

Hey Guys, I understand that the padding trick allows us to translate complexity classes upwards - for example $P=NP \rightarrow EXP=NEXP$. While this makes technical sense, I can't get a good intuition of why this is so.

Can provide a common sense reason why this is the case?

Hey Guys, I understand that the padding trick allows us to translate complexity classes upwards - for example $P=NP \rightarrow EXP=NEXP$. Padding works by "inflating" the input, running the conversion (say from say $NP$ to $P$), which yields a "magic" algorithm which you can run on the padded input. While this makes technical sense, I can't get a good intuition of how this works. What exactly is going on here? Is there a simple analogy for what padding is?

Can provide a common sense reason why this is the case?