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arxiv: 1203.5323 · v1 · pith:A3XE5ZM2new · submitted 2012-03-23 · 💻 cs.LO · cs.CC

Parameterized Proof Complexity and W[1]

classification 💻 cs.LO cs.CC
keywords parameterizedcomplexityprogramproofaimsalreadyboundsclasses
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We initiate a program of parameterized proof complexity that aims to provide evidence that FPT is different from W[1]. A similar program already exists for the classes W[2] and W[SAT]. We contrast these programs and prove upper and lower bounds for W[1]-parameterized Resolution.

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