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A Manifesto for the Computational Method (2000)  (Make Corrections)  (1 citation)
Steve Seiden



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Abstract: We promote the much maligned computational method. The computational method is a paradigm for proving mathematical results where the burden of doing the \grunt work" is given to our able research assistant, the computer. We assert that proofs using the computational method, also known as computer aided proofs, are here to stay. In fact, the use of a computer can make the analysis of complicated algorithms fun. We illustrate the usefulness of the method by analyzing a randomized algorithm for... (Update)

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...are not so readily accepted. We present one viewpoint on computer assisted proofs, or what we call proofs via the computational method [13]. While one might expect pure mathematicians to be a bit leery of the computational method, one would hope that computer scientists would...

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BibTeX entry:   (Update)

Seiden, S. S. A manifesto for the computational method. In Fun with Algorithms: Proceedings of the International Conference (Jun 1998), pp. 148-159. Final version to appear in Theoretical Computer Science. http://citeseer.ist.psu.edu/seiden00manifesto.html   More

@misc{ seiden98manifesto,
  author = "S. Seiden",
  title = "A manifesto for the computational method",
  text = "Seiden, S. S. A manifesto for the computational method. In Fun with Algorithms:
    Proceedings of the International Conference (Jun 1998), pp. 148-159. Final
    version to appear in Theoretical Computer Science.",
  year = "1998",
  url = "citeseer.ist.psu.edu/seiden00manifesto.html" }
Citations (may not include all citations):
957   The Probabilistic Method (context) - Alon, Erdos et al. - 1992
170   Bounds for certain multiprocessing anomalies (context) - Graham - 1966
127   with an application to the entscheidungsproblem (context) - Turing, numbers - 1937
98   New algorithms for an ancient scheduling problem - Bartal, Fiat et al. - 1995
70   A better algorithm for an ancient scheduling problem - Karger, Phillips et al. - 1996
69   An algorithmic proof theory for hypergeometric (context) - Wilf, Zeilberger - 1992
56   and linear programming (context) - Trevisan, Sorkin et al. - 1996
55   approximation algorithm for MAX 3SAT - Karlo, Zwick - 1997
46   Randomized competitive algorithms for the list update proble.. - Reingold, Westbrook et al. - 1994
42   Modular elliptic curves and Fermat's last theorem (context) - Wiles - 1995
36   Ring theoretic properties of certain Hecke algebras (context) - Taylor, Wiles - 1995
20   Anatomy of the Pentium bug - Pratt - 1995
20   Improved bounds for harmonic-based bin packing algorithms (context) - Richey - 1991
18   Multiprocessor scheduling with rejection - Bartal, Leonardi et al. - 2000
12   Computer-assisted proofs in analysis and programming in logi.. - Koch, Schenkel et al. - 1996
12   Theorems for a price: Tomorrow's semi-rigorous mathematical .. (context) - Zeilberger - 1993
8   A note on on-line load balancing for related machines (context) - Berman, Charikar et al. - 1997
8   Every planar map is four colorable part I: Discharging (context) - Appel, Haken - 1977
7   Randomized online multiprocessor scheduling (context) - Seiden - 2000
6   Every planar map is four colorable part II: Reducibility (context) - Appel, Haken et al. - 1977
3   Counterexample to Euler's conjecture on sums of like powers (context) - Lander, Parkin - 1966
3   On formally undecidable propositions of Principia Mathematic.. (context) - odel - 1931
3   Ergebnisse des Mathematischen Kolloquiums (context) - odel, length et al. - 1936
3   A counterexample to Euler's sum of powers conjecture (context) - Lander, Parkin - 1967
3   Short theorems with long proofs (context) - Spencer - 1983
2   Swiss scientists warn of robot Armageddon (context) - Kelly
2   Experimental mathematics: A discussion - Borwein, Borwein et al. - 1996
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