Resolution proofs of generalized pigeonhole principles
نویسندگان
چکیده
منابع مشابه
Resolution Proofs of Generalized Pigeonhole Principles
We extend results of A. Haken to give an exponential lower bound on the size of resolution proofs for propositional formulas encoding a generalized pigeonhole principle. These propositional formulas express the fact that there is no one-one mapping from c ·n objects to n objects when c > 1. As a corollary, resolution proof systems do not p -simulate constant formula depth Frege proof systems.
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 1988
ISSN: 0304-3975
DOI: 10.1016/0304-3975(88)90072-2