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bibliography.bib
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@article{BC98,
journal = {Experimental Mathematics},
author = {David J.~Buckingham and Paul B.~Callahan},
title = {Tight bounds on periodic cell configurations in {L}ife},
year = {1998},
volume = {7},
number = {3},
pages = {221--241}
}
@inbook{BCG82,
author = {Elwyn R.~Berlekamp and John H.~Conway and Richard K.~Guy},
title = {Winning Ways for Your Mathematical Plays, volume 2: Games in Particular},
year = {1982},
chapter = {25},
publisher = {Academic Press}
}
@article{Bos99,
journal = {SIAM Review},
author = {Robert A.~Bosch},
title = {Integer programming and {C}onway's game of {L}ife},
year = {1999},
volume = {41},
number = {3},
pages = {596--604}
}
@article{BT04,
journal = {Annals of Operations Research},
author = {Robert A.~Bosch and Michael Trick},
title = {Constraint Programming and Hybrid Formulations for Three Life Designs},
year = {2004},
volume = {130},
pages = {41--56}
}
@article{CS12,
journal = {Artificial Intelligence},
author = {Geoffrey Chu and Peter J.~Stuckey},
title = {A complete solution to the {M}aximum {D}ensity {S}till {L}ife {P}roblem},
year = {2012},
volume = {184},
pages = {1--16}
}
@inproceedings{CSB09,
author = {Geoffrey Chu and Peter J.~Stuckey and Maria Garcia de la Banda},
title = {Using Relaxations in Maximum Density Still Life},
year = 2009,
booktitle = {Proceedings of the Fifteenth International Conference on Principles and Practice of Constraint Programming},
pages = {258-273}
}
@inbook{Coo03,
booktitle = {New Constructions in Cellular Automata},
series = {Santa Fe Institute Studies in the Sciences of Complexity},
author = {Matthew Cook},
title = {Still life theory},
year = {2003},
publisher = {Oxford University Press},
pages = {93--118}
}
@incollection{Elk98,
series = {Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine},
booktitle = {Vorono\"{i}'s Impact on Modern Science, Book I},
author = {Noam D.~Elkies},
title = {The still-life density problem and its generalizations},
publisher = {Institute of Mathematics},
year = {1998},
volume = {21},
pages = {228--253}
}
@incollection{Epp02,
series = {MSRI Publications},
booktitle = {More Games of No Chance},
publisher = {Cambridge University Press},
author = {David Eppstein},
title = {Searching for spaceships},
year = {2002},
volume = {42},
pages = {433--453}
}
@misc{Fla94,
author = {Achim Flammenkamp},
title = {Natural grown Oscillators out of Random Soup},
year = {1994},
howpublished = {\url{http://wwwhomes.uni-bielefeld.de/achim/oscill.html}},
note = {[Online; accessed Dec. 16, 2021]}
}
@misc{Fla04,
author = {Achim Flammenkamp},
title = {Frequency of {G}ame of {L}ife objects in settled random areas},
year = {2004},
howpublished = {\url{http://wwwhomes.uni-bielefeld.de/achim/freq_top_life.html}},
note = {[Online; accessed Dec. 16, 2021]}
}
@article{Gar70,
journal = {Scientific American},
author = {Martin Gardner},
title = {The fantastic combinations of {J}ohn {C}onway’s new solitaire game ``life''},
year = {1970},
volume = {223},
pages = {120--123}
}
@article{Gar71,
journal = {Scientific American},
author = {Martin Gardner},
title = {On Cellular Automata, Self-Reproduction, The {G}arden of {E}den and the Game of ``Life''},
year = {1971},
volume = {224},
pages = {112--117}
}
@book{Gar83,
title={Wheels, Life, and Other Mathematical Amusements},
author={Martin Gardner},
isbn={9780716715894},
year={1983},
publisher={W.~H.~Freeman and Company}
}
@article{Hed69,
journal = {Mathematical Systems Theory},
author = {Gustav A.~Hedlund},
title = {Endomorphisms and Automorphisms of the Shift Dynamical Systems},
year = {1969},
volume = {3},
pages = {320--375}
}
@book{Pou85,
title={The Recursive Universe},
author={William Poundstone},
year={1985},
publisher={William Morrow and Company Inc.}
}
@article{Nie79,
title={Life Algorithms}, journal={Byte}, author={Mark D.~Niemiec}, year={1979},
volume = {4},
number = {1},
pages = {90--97},
}
@article{Gib06,
author = {Jeremy Gibbons},
title = {Unbounded Spigot Algorithms for the Digits of Pi},
journal = {The American Mathematical Monthly},
volume = {113},
number = {4},
pages = {318--328},
year = {2006}
}
@article{Gos84,
author = {R.~William Gosper},
title = {Exploiting Regularities in Large Cellular Spaces},
journal = {Physica},
volume = {10D},
pages = {75--80},
year = {1984}
}
@incollection{Gou10,
chapter = {25},
booktitle = {Game of Life Cellular Automata},
publisher = {Springer London},
author = {Adam P.~Goucher},
title = {Universal Computation and Construction in {G}o{L} Cellular Automata},
year = {2010},
pages = {505--518}
}
@article{Har74,
journal = {Revue française d'automatique, informatique, recherche opérationnelle},
author = {Jean Hardouin--Duparc},
title = {Paradis terrestre dans l'automate cellulaire de {C}onway},
year = {1974},
volume = {8},
pages = {63--71}
}
@article{HHKN11,
journal = {The Electronic Journal of Combinatorics},
author = {Christiaan Hartman and Marijn~J.~H.~Heule and Kees Kwekkeboom and Alain Noels},
title = {Symmetry in {G}ardens of {E}den},
year = {2013},
volume = {20},
number = {3},
pages = {P16}
}
@article{LMN05,
journal = {Journal of Artificial Intelligence Research},
author = {Javier Larrosa and Enric Morancho and David Niso},
title = {On the Practical use of Variable Elimination in Constraint Optimization Problems: `Still-life’ as a Case Study},
year = {2005},
volume = {23},
pages = {421--440}
}
@article{Moo62,
journal = {Proceedings of Symposia in Applied Mathematics},
author = {Edward F.~Moore},
title = {Machine models of self-reproduction},
year = {1962},
volume = {14},
pages = {17--33}
}
@article{Myh63,
journal = {Proceedings of the American Mathematical Society},
author = {John Myhill},
title = {The converse of {M}oore's {G}arden-of-{E}den theorem},
year = {1963},
volume = {14},
pages = {685--686}
}
@incollection{Nie03,
booktitle = {New Constructions in Cellular Automata},
publisher = {Oxford University Press, London},
author = {Mark D.~Niemiec},
title = {Synthesis of complex {L}ife objects from gliders},
year = {2003},
pages = {55--78}
}
@incollection{Nie10,
chapter = {8},
booktitle = {Game of Life Cellular Automata},
publisher = {Springer London},
author = {Mark D.~Niemiec},
title = {Object Synthesis in {C}onway’s {G}ame of {L}ife and Other Cellular Automata},
year = {2010},
pages = {115--134}
}
@article{Wain74,
journal = {Proceedings of the 7th conference on Winter simulation},
author = {Robert T.~Wainwright},
title = {Life is universal!},
year = {1974},
volume = {2},
pages = {449--459}
}
@misc{Okr03,
author = {Andrzej Okrasinski},
title = {Andrzej {O}krasinski's website dedicated to the {G}ame of {L}ife},
year = {2003},
howpublished = {\httpurl{web.archive.org/web/20091027025324/http://geocities.com/conwaylife/}},
note = {[Online; archived from the original and accessed Dec. 16, 2021]}
}
@book{RenBook,
Author = {Paul Rendell},
Title = {Turing Machine Universality of the {G}ame of {L}ife},
Year = {2016},
Publisher = {Springer International Publishing},
ISBN = {978-3-319-19841-5}
}
@misc{A019473,
author = {Neil J.~A.~Sloane},
title = {Sequence {A019473} in \emph{{T}he {O}n-{L}ine {E}ncyclopedia of {I}nteger {S}equences}},
year = {1996},
howpublished = {\httpsurl{oeis.org/A019473}},
note = {Number of stable $n$-celled patterns (``still lifes'') in Conway's Game of Life, up to rotation and reflection. [Online; accessed Dec. 16, 2021]}
}
@misc{A046932,
author = {Neil J.~A.~Sloane},
title = {Sequence {A046932} in \emph{{T}he {O}n-{L}ine {E}ncyclopedia of {I}nteger {S}equences}},
year = {1999},
howpublished = {\httpsurl{oeis.org/A046932}},
note = {$a(n) =$ period of $x^n + x + 1$ over $GF(2)$, i.e., the smallest integer $m>0$ such that $x^n + x + 1$ divides $x^m + 1$ over $GF(2)$. [Online; accessed July 28, 2018]}
}
@misc{A056613,
author = {Neil J.~A.~Sloane},
title = {Sequence {A056613} in \emph{{T}he {O}n-{L}ine {E}ncyclopedia of {I}nteger {S}equences}},
year = {2000},
howpublished = {\httpsurl{oeis.org/A056613}},
note = {Number of $n$-celled pseudo still lifes in Conway's Game of Life, up to rotation and reflection. [Online; accessed Dec. 16, 2021]}
}
@misc{A196447,
author = {Neil J.~A.~Sloane},
title = {Sequence {A196447} in \emph{{T}he {O}n-{L}ine {E}ncyclopedia of {I}nteger {S}equences}},
year = {2011},
howpublished = {\httpsurl{oeis.org/A196447}},
note = {The number of parents of successive approximations used in a greedy approach to creating a Garden of Eden in Conway's Game of Life. [Online; accessed Dec. 16, 2021]}
}
@book{Wolfram2002,
Author = {Stephen Wolfram},
Title = {A New Kind of Science},
Year = {2002},
Publisher = {Wolfram Media},
ISBN = {1579550088},
URL = {https://www.wolframscience.com},
Language = {English}
}