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Drucker [8] proved the following result: Unless the unlikely complexity-theoretic collapse \(\mathsf {coNP}\subseteq \mathsf {NP/poly}\) occurs, there is no AND-compression for SAT. The result has implications for the compressibility and kernelizability of a whole range of NP-complete parameterized problems. We present a streamlined proof of Drucker’s theorem.

AND-compression of NP-complete Problems: Streamlined Proof and Minor Observations