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@Book{hopcroft,
author = {Hopcroft, John, and Motwani, Rajeev, and Ullman, Jefferey},
title = {Introduction to automata theory, languages, and computation},
publisher = {Pearson Education},
year = {2014},
address = {Harlow, Essex},
isbn = {1292039051}
}
@Book{kozen1997automata,
author = {Kozen, Dexter},
title = {Automata and computability},
publisher = {Springer},
year = {1997},
address = {New York},
isbn = {978-3-642-85706-5}
}
@book{SipserBook,
author = {Michael Sipser},
title = {Introduction to the theory of computation},
publisher = {{PWS} Publishing Company},
year = {1997},
isbn = {978-0-534-94728-6},
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biburl = {https://dblp.org/rec/bib/books/daglib/0086373},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@book{HopcroftUllman79,
author = {John E. Hopcroft and
Jeffrey D. Ullman},
title = {Introduction to Automata Theory, Languages and Computation},
publisher = {Addison-Wesley},
year = {1979},
isbn = {0-201-02988-X},
timestamp = {Thu, 03 Jan 2002 11:51:07 +0100},
biburl = {https://dblp.org/rec/bib/books/aw/HopcroftU79},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@book{Boole1854,
title={An investigation of the laws of thought: on which are founded the mathematical theories of logic and probabilities},
author={Boole, George},
year={1854},
publisher={Dover Publications}
}
@book{DeMorgan1847,
title={Formal logic: or, the calculus of inference, necessary and probable},
author={De Morgan, Augustus},
year={1847},
publisher={Taylor and Walton}
}
@book{Boole1847mathematical,
title={The mathematical analysis of logic},
author={Boole, George},
year={1847},
publisher={Philosophical Library}
}
@article{Turing37,
title={On computable numbers, with an application to the Entscheidungsproblem},
author={Turing, Alan M},
journal={Proceedings of the London mathematical society},
volume={2},
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}
@article{McCullochPitts43,
title={A logical calculus of the ideas immanent in nervous activity},
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journal={The bulletin of mathematical biophysics},
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@article{RabinScott59,
title={Finite automata and their decision problems},
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@article{Chomsky56,
title={Three models for the description of language},
author={Chomsky, Noam},
journal={IRE Transactions on information theory},
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@article{Karatsuba95,
title={The complexity of computations},
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journal={Proceedings of the Steklov Institute of Mathematics-Interperiodica Translation},
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}
@inproceedings{Toom63,
title={The complexity of a scheme of functional elements realizing the multiplication of integers},
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booktitle={Soviet Mathematics Doklady},
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}
@article{Cook66,
title={On the minimum computation time for multiplication},
author={Cook, SA},
journal={Doctoral dissertation, Harvard University Department of Mathematics, Cambridge, Mass.},
volume={1},
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}
@article{SchonhageStrassen71,
title={Schnelle multiplikation grosser zahlen},
author={Sch{\"o}nhage, Arnold and Strassen, Volker},
journal={Computing},
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publisher={Springer}
}
@inproceedings{Furer07,
author = {Martin F\"{u}rer},
title = {Faster integer multiplication},
booktitle = {Proceedings of the 39th Annual {ACM} Symposium on Theory of Computing,
San Diego, California, USA, June 11-13, 2007},
pages = {57--66},
year = {2007},
}
@article{Strassen69,
title={Gaussian elimination is not optimal},
author={Strassen, Volker},
journal={Numerische mathematik},
volume={13},
number={4},
pages={354--356},
year={1969},
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}
@book{CLRS,
author = {Thomas H. Cormen and
Charles E. Leiserson and
Ronald L. Rivest and
Clifford Stein},
title = {Introduction to Algorithms, 3rd Edition},
publisher = {{MIT} Press},
year = {2009},
url = {http://mitpress.mit.edu/books/introduction-algorithms},
isbn = {978-0-262-03384-8},
timestamp = {Fri, 12 May 2017 13:30:20 +0200},
biburl = {https://dblp.org/rec/bib/books/daglib/0023376},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@book{KleinbergTardos06,
author = {Jon M. Kleinberg and
{\'{E}}va Tardos},
title = {Algorithm design},
publisher = {Addison-Wesley},
year = {2006},
isbn = {978-0-321-37291-8},
timestamp = {Wed, 23 Mar 2011 16:58:37 +0100},
biburl = {https://dblp.org/rec/bib/books/daglib/0015106},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@book{DasguptaPV08,
author = {Sanjoy Dasgupta and
Christos H. Papadimitriou and
Umesh V. Vazirani},
title = {Algorithms},
publisher = {McGraw-Hill},
year = {2008},
isbn = {978-0-07-352340-8},
timestamp = {Wed, 09 Feb 2011 13:20:29 +0100},
biburl = {https://dblp.org/rec/bib/books/daglib/0017733},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@book{Blaser13,
author = {Bl{\"a}ser, Markus},
title = {Fast Matrix Multiplication},
year = {2013},
pages = {1--60},
doi = {10.4086/toc.gs.2013.005},
publisher = {Theory of Computing Library},
number = {5},
series = {Graduate Surveys},
URL = {http://www.theoryofcomputing.org/library.html},
}
@Book{LewisZax19,
author = {Lewis, Harry and Zax, Rachel},
title = {Essential Discrete Mathematics for Computer Science},
publisher = {Princeton University Press},
year = {2019},
isbn = {9780691190617}
}
@Book{Livio05,
author = {Livio, Mario},
title = {The equation that couldn't be solved : how mathematical genius discovered the language of symmetry},
publisher = {Simon \& Schuster},
year = {2005},
address = {New York},
isbn = {0743258207}
}
@article{Cooley87FFTdiscovery,
title={The re-discovery of the fast Fourier transform algorithm},
author={Cooley, James W},
journal={Microchimica Acta},
volume={93},
number={1-6},
pages={33--45},
year={1987},
publisher={Springer}
}
@article{heideman1985gauss,
title={Gauss and the history of the fast Fourier transform},
author={Heideman, Michael T and Johnson, Don H and Burrus, C Sidney},
journal={Archive for history of exact sciences},
volume={34},
number={3},
pages={265--277},
year={1985},
publisher={Springer}
}
@article{Werbos74,
title={Beyond regression: New tools for prediction and analysis in the behavioral sciences. Ph. D. thesis, Harvard University, Cambridge, MA, 1974.},
author={Werbos, PJ},
year={1974}
}
@techreport{pagerank99,
title={The PageRank citation ranking: Bringing order to the web.},
author={Page, Lawrence and Brin, Sergey and Motwani, Rajeev and Winograd, Terry},
year={1999},
institution={Stanford InfoLab}
}
@article{Kleinber99,
title={Authoritative sources in a hyperlinked environment},
author={Kleinberg, Jon M},
journal={Journal of the ACM (JACM)},
volume={46},
number={5},
pages={604--632},
year={1999},
publisher={ACM}
}
@inproceedings{Akamai97,
author = {David R. Karger and
Eric Lehman and
Frank Thomson Leighton and
Rina Panigrahy and
Matthew S. Levine and
Daniel Lewin},
title = {Consistent Hashing and Random Trees: Distributed Caching Protocols for Relieving Hot Spots on the World Wide Web},
booktitle = {Proceedings of the Twenty-Ninth Annual {ACM} Symposium on the Theory of Computing, El Paso, Texas, USA, May 4-6, 1997},
pages = {654--663},
year = {1997},
url = {https://doi.org/10.1145/258533.258660},
doi = {10.1145/258533.258660},
timestamp = {Wed, 14 Nov 2018 10:51:37 +0100},
biburl = {https://dblp.org/rec/bib/conf/stoc/KargerLLPLL97},
bibsource = {dblp computer science bibliography, https://dblp.org}
}
@article{compressedmri08,
title={Compressed sensing MRI},
author={Lustig, Michael and Donoho, David L and Santos, Juan M and Pauly, John M},
journal={IEEE signal processing magazine},
volume={25},
number={2},
pages={72--82},
year={2008},
publisher={IEEE}
}
@article{AgrawalKayalSaxena04,
title={{PRIMES} is in {P}},
author={Agrawal, Manindra and Kayal, Neeraj and Saxena, Nitin},
journal={Annals of mathematics},
pages={781--793},
year={2004}
}
@article{CandesRombergTao06,
title={Stable signal recovery from incomplete and inaccurate measurements},
author={Candes, Emmanuel J and Romberg, Justin K and Tao, Terence},
journal={Communications on Pure and Applied Mathematics: A Journal Issued by the Courant Institute of Mathematical Sciences},
volume={59},
number={8},
pages={1207--1223},
year={2006},
}
@article{Donoho2006compressed,
title={Compressed sensing},
author={Donoho, David L},
journal={IEEE Transactions on information theory},
volume={52},
number={4},
pages={1289--1306},
year={2006},
publisher={IEEE}
}
@article{Ellenberg10wired,
title={Fill in the blanks: Using math to turn lo-res datasets into hi-res samples},
author={Ellenberg, Jordan},
journal={Wired Magazine},
volume={18},
number={3},
pages={501--509},
year={2010}
}
@article{Hardy41,
title={A Mathematician's Apology},
author={Hardy, GH},
year={1941}
}
@Book{LehmanLeightonMeyer,
title = {Mathematics for Computer Science},
author = {Lehman, Eric and Leighton, Thomson F. and Meyer, Albert R.},
year = {2018},
notes = {Lecture notes for MIT Course 6.042; latest version available from the course webpage.}
}
@Book{Rosen19discrete,
author = {Rosen, Kenneth},
title = {Discrete mathematics and its applications},
publisher = {McGraw-Hill},
year = {2019},
address = {New York, NY},
isbn = {125967651x}
}
@misc{Fleck,
title = {Building Blocks for Theoretical Computer Science},
author = {Margaret M. Fleck},
year = {2018},
note = {Online book, available at \url{http://mfleck.cs.illinois.edu/building-blocks/}.}
}
@Book{Kun18,
author = {Kun, Jeremy},
title = {A programmer's introduction to mathematics},
publisher = {CreateSpace Independent Publishing Platform},
year = {2018},
address = {Middletown, DE},
isbn = {1727125452}
}
@misc{AspensDiscreteMath,
author = {James Aspens},
title = {Notes on Discrete Mathematics},
year = {2018},
note = {Online textbook for CS 202. Available on \url{http://www.cs.yale.edu/homes/aspnes/classes/202/notes.pdf}.}
}
@Book{Solow14,
author = {Solow, Daniel},
title = {How to read and do proofs : an introduction to mathematical thought processes},
publisher = {John Wiley \& Sons, Inc},
year = {2014},
address = {Hoboken, New Jersey},
isbn = {9781118164020}
}
@article{CoverThomas06,
title={Elements of information theory 2nd edition},
author={Cover, Thomas M. and Thomas, Joy A.},
journal={Willey-Interscience: NJ},
year={2006},
isbn = {0471241954}
}
@book{MooreMertens11,
title={The nature of computation},
author={Moore, Cristopher and Mertens, Stephan},
year={2011},
publisher={Oxford University Press}
}
@book{Aaronson13democritus,
title={Quantum computing since Democritus},
author={Aaronson, Scott},
year={2013},
publisher={Cambridge University Press}
}
@book{Dauben90cantor,
title={Georg Cantor: His mathematics and philosophy of the infinite},
author={Dauben, Joseph Warren},
year={1990},
publisher={Princeton University Press}
}
@book{halmos1960naive,
title={Naive set theory},
author={Halmos, Paul R},
year={1960},
note ={Republished in 2017 by Courier Dover Publications.}
}
@article{Shannon1938,
title={A symbolic analysis of relay and switching circuits},
author={Shannon, Claude E},
journal={Electrical Engineering},
volume={57},
number={12},
pages={713--723},
year={1938},
publisher={IEEE}
}
@article{HopcroftUllman69,
title={Formal languages and their relation to automata},
author={Hopcroft, John E and Ullman, Jeffrey D},
year={1969},
publisher={Addison-Wesley Longman Publishing Co., Inc.}
}
@book{Savage1998models,
title={Models of computation},
author={Savage, John E},
volume={136},
year={1998},
publisher={Addison-Wesley Reading, MA},
note = {Available electronically at \url{http://cs.brown.edu/people/jsavage/book/}.}
}
@article{Sheffer1913,
title={A set of five independent postulates for Boolean algebras, with application to logical constants},
author={Sheffer, Henry Maurice},
journal={Transactions of the American mathematical society},
volume={14},
number={4},
pages={481--488},
year={1913},
publisher={JSTOR}
}
@book{WhiteheadRussell1912,
title={Principia mathematica},
author={Whitehead, Alfred North and Russell, Bertrand},
volume={2},
year={1912},
publisher={University Press}
}
@book{Peirce1976,
title={The new elements of mathematics},
author={Peirce, Charles Sanders and Eisele, Carolyn},
volume={4},
year={1976},
publisher={Mouton The Hague},
note = {Works of Charles Peirce, collected and edited by Carolyn Eisele.}
}
@article{Burks1978charles,
title={Booke review: Charles S. Peirce, The new elements of mathematics},
author={Burks, Arthur W},
journal={Bulletin of the American Mathematical Society},
volume={84},
number={5},
pages={913--918},
year={1978},
publisher={American Mathematical Society}
}
@book{Jukna12,
title={Boolean function complexity: advances and frontiers},
author={Jukna, Stasys},
volume={27},
year={2012},
publisher={Springer Science \& Business Media}
}
@book{NisanShocken2005,
title={The elements of computing systems: building a modern computer from first principles},
author={Nisan, Noam and Schocken, Shimon},
year={2005},
publisher={MIT press}
}
@article{Lupanov1958,
title={A circuit synthesis method},
author={Lupanov, O},
journal={Izv. Vuzov, Radiofizika},
volume={1},
number={1},
pages={120--130},
year={1958}
}
@inproceedings{Valiant1976,
title={Universal circuits (preliminary report)},
author={Valiant, Leslie G},
booktitle={Proceedings of the eighth annual ACM symposium on Theory of computing},
pages={196--203},
year={1976},
organization={ACM}
}
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author={Ernst, Elizabeth Ann},
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NOTE = {working paper or preprint},
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HAL_ID = {hal-02070778},
HAL_VERSION = {v1},
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