Exploració per autor "Müller, Moritz"
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Lower bounds for DNF-refutations of a relativized weak pigeonhole principle
Atserias, Albert; Müller, Moritz; Oliva Valls, Sergi (Institute of Electrical and Electronics Engineers (IEEE), 2013)
Text en actes de congrés
Accés obertThe relativized weak pigeonhole principle states that if at least 2n out of n2 pigeons fly into n holes, then some hole must be doubly occupied. We prove that every DNF-refutation of the CNF encoding of this principle ... -
Lower bounds for DNF-refutations of a relativized weak pigeonhole principle
Atserias, Albert; Müller, Moritz; Oliva Valls, Sergi (2015-06-01)
Article
Accés obertThe relativized weak pigeonhole principle states that if at least 2n out of n(2) pigeons fly into n holes, then some hole must be doubly occupied. We prove that every DNF-refutation of the CNF encoding of this principle ... -
On the consistency of circuit lower bounds for non-deterministic time
Atserias, Albert; Buss, Sam; Müller, Moritz (Association for Computing Machinery (ACM), 2023)
Text en actes de congrés
Accés obertWe prove the first unconditional consistency result for superpolynomial circuit lower bounds with a relatively strong theory of bounded arithmetic. Namely, we show that the theory V20 is consistent with the conjecture ... -
Partially definable forcing and bounded arithmetic
Atserias, Albert; Müller, Moritz (2015-02-01)
Article
Accés obertWe describe a method of forcing against weak theories of arithmetic and its applications in propositional proof complexity.