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I know that NP problems can be transformed into SAT (due to this fact, SAT is considered to be a NP Complete problem). I am not sure if P problems can too be transformed into SAT.

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Yes, they can since $P \subseteq NP$.

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  • $\begingroup$ Exercise: Does $NP \subseteq P$ hold? $\endgroup$
    – user99558
    Commented Mar 4, 2019 at 0:23
  • $\begingroup$ Isn't this a open problem? $\endgroup$
    – SiluPanda
    Commented Apr 24, 2019 at 5:25
  • $\begingroup$ @SiluPanda "⊆" means "subset of or equal to". $\endgroup$
    – Geremia
    Commented Sep 16, 2023 at 21:33
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Yes, it can because P class is included in NP class, you can convert every P problem into 3-SAT in (at most) polynomial time.

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