Three Puzzles on Mathematics, Computation, and Games
نویسندگان
چکیده
منابع مشابه
Three Puzzles on Mathematics, Computation, and Games
In this lecture I will talk about three mathematical puzzles involving mathematics and computation that have preoccupied me over the years. The first puzzle is to understand the amazing success of the simplex algorithm for linear programming. The second puzzle is about errors made when votes are counted during elections. The third puzzle is: are quantum computers possible?
متن کاملGames, puzzles, and computation
There is a fundamental connection between the notions of game and of computation. At its most basic level, this is implied by any game complexity result, but the connection is deeper than this. One example is the concept of alternating nondeterminism, which is intimately connected with two-player games. In the first half of this thesis, I develop the idea of game as computation to a greater deg...
متن کاملTeaching mathematics with games and puzzles
and complete graph analogues of the Evans conjecture. [6] John Goldwasser and William Klostermeyer. Maximization versions of " lights out " games in grids and graphs.
متن کاملTwo Puzzles About Computation
Turing’s classical analysis of computation [13] gives a compelling account of the nature of the computational process; of how we compute. This allows the notion of computability, of what can in principle be computed, to be captured in a mathematically precise fashion. The purpose of this note is to raise two different questions, which are rarely if ever considered, and to which, it seems, we la...
متن کاملThe Computational Complexity of Games and Puzzles
The subject of my thesis is studying the algorithmic properties of one and two-player games people enjoy playing, such as chess or Sudoku. This research falls into a wider area known as combinatorial game theory. One of the main questions asked about games in this context is whether they are algorithmically tractable, that is, whether they can be solved with efficient algorithms. So far, more t...
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ژورنال
عنوان ژورنال: Notices of the American Mathematical Society
سال: 2018
ISSN: 0002-9920,1088-9477
DOI: 10.1090/noti1696