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Mathematical proof aims to deliver confident conclusions, but a very similar process of deduction can be used to make uncertain estimates that are open to revision.
Harald Cramér, On the order of magnitude of the difference between consecutive prime numbers , Acta arithmetica 2
1936
Earlier work this paper cites.
Martin Hugo Löb, Solution of a problem of leon henkin , The Journal of Symbolic Logic 20
1955
Earlier work this paper cites.
P Erdös and S Ulam, Some probabilistic remarks on fermat’s last theorem , The Rocky Mountain Journal of Mathematics 1
1971
Earlier work this paper cites.
Noam D Elkies, On a ˆ 4+b ˆ 4+c ˆ 4=d ˆ 4 , Mathematics of Computation (1988), 825–835
1988
Earlier work this paper cites.
Roger E Frye, Finding 95800 4+ 217519 4+ 414560 4= 422481 4 on the connection machine , Proceedings of supercomputing, vol. 88, 1988, pp. 106–116
1988
Earlier work this paper cites.
Shafi Goldwasser, Silvio Micali, and Charles Rackoff, The knowledge complexity of interactive proof systems , SIAM J. COMPUT 18
1989
Earlier work this paper cites.
Jerzy Kaczorowski, On the distribution of primes (mod4) , Analysis 15
1995
Earlier work this paper cites.
Boaz Barak, Oded Goldreich, Rusell Impagliazzo, Steven Rudich, Amit Sahai, Salil Vadhan, and Ke Yang, On the (im) possibility of obfuscating programs , Annual international cryptology conference, Springer, 2001, pp. 1–18
2001
Earlier work this paper cites.
Marc Mézard and Riccardo Zecchina, Random k-satisfiability problem: From an analytic solution to an efficient algorithm , Physical Review E 66
2002
Cited alongside, same era.
Haim Gaifman, Reasoning with limited resources and assigning probabilities to arithmetical statements , Synthese 140
2004
Cited alongside, same era.
Freeman Dyson, What We Believe but Cannot Prove (John Brockman, ed.), Harper Perennial, 2006, pp. 82–83
2006
Cited alongside, same era.
Andrew Granville and Greg Martin, Prime number races , The American Mathematical Monthly 113
2006
Cited alongside, same era.
János Pintz, Cramér vs. Cramér. On Cramér’s probabilistic model for primes , Functiones et Approximatio Commentarii Mathematici 37
2007
Cited alongside, same era.
John H Conway, On unsettleable arithmetical problems , The American Mathematical Monthly 120
2013
Later among the works it cites.
Paul Christiano, Non-omniscience, probabilistic inference, and metamathematics , 2014
2014
Later among the works it cites.
Brent Waters, A punctured programming approach to adaptively secure functional encryption , Annual Cryptology Conference, Springer, 2015, pp. 678–697
2015
Later among the works it cites.
2016
Later among the works it cites.
Nima Anari, Leonid Gurvits, Shayan Oveis Gharan, and Amin Saberi, Simply exponential approximation of the permanent of positive semidefinite matrices , 2017 IEEE 58th Annual Symposium on Foundations of Computer Science (FOCS), IEEE, 2017, pp. 914–925
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Abram Demski, Logical prior probability , International Conference on Artificial General Intelligence, Springer, 2012, pp. 50–59
2012
Cited alongside, same era.
2012
Cited alongside, same era.
Terence Tao, The probabilistic heuristic justification of the ABC conjecture , terrytao.wordpress.com , Sep 2012
2012
Cited alongside, same era.
Pafnuty Lvovich Chebyshev, Letter from professor tchébycheva m. fuss on a new theéorem relating to prime numbers contained in the forms 4n+ 1 and 4n+ 3 , 208
Cited in the paper.
2017
Later among the works it cites.
F Cornu and HJ Hilhorst, Density decay and growth of correlations in the game of life , Journal of Statistical Mechanics: Theory and Experiment 2019
2019
Later among the works it cites.
2021
Later among the works it cites.