| 000 | 02292nam a22003858i 4500 | ||
|---|---|---|---|
| 001 | CR9780511676277 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160238.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 100212s2010||||enk o ||1 0|eng|d | ||
| 020 | _a9780511676277 (ebook) | ||
| 020 | _z9780521517294 (hardback) | ||
| 020 | _z9781107694118 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
||
| 050 | 0 | 0 |
_aQA267.7 _b.C695 2010 |
| 082 | 0 | 0 |
_a511.3/6 _222 |
| 100 | 1 |
_aCook, Stephen, _d1948- _eauthor. |
|
| 245 | 1 | 0 |
_aLogical foundations of proof complexity / _cStephen Cook, Phuong Nguyen. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2010. |
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| 300 |
_a1 online resource (xv, 479 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 | _aPerspectives in logic | |
| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aThis book treats bounded arithmetic and propositional proof complexity from the point of view of computational complexity. The first seven chapters include the necessary logical background for the material and are suitable for a graduate course. Associated with each of many complexity classes are both a two-sorted predicate calculus theory, with induction restricted to concepts in the class, and a propositional proof system. The complexity classes range from AC0 for the weakest theory up to the polynomial hierarchy. Each bounded theorem in a theory translates into a family of (quantified) propositional tautologies with polynomial size proofs in the corresponding proof system. The theory proves the soundness of the associated proof system. The result is a uniform treatment of many systems in the literature, including Buss's theories for the polynomial hierarchy and many disparate systems for complexity classes such as AC0, AC0(m), TC0, NC1, L, NL, NC, and P. | ||
| 650 | 0 | _aComputational complexity. | |
| 650 | 0 | _aProof theory. | |
| 650 | 0 | _aLogic, Symbolic and mathematical. | |
| 700 | 1 |
_aNguyen, Phuong, _d1977- _eauthor. |
|
| 776 | 0 | 8 |
_iPrint version: _z9780521517294 |
| 830 | 0 | _aPerspectives in logic. | |
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511676277 |
| 999 |
_c518266 _d518264 |
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