Fatuous 发表于 2025-3-21 19:43:19

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星星 发表于 2025-3-22 00:06:23

Computation Paradigms in Light of Hilbert’s Tenth ProblemThis is a survey of a century-long history of interplay between Hilbert’s tenth problem (about solvability of Diophantine equations) and different notions and ideas from Computability Theory. The present paper is an extended version of .

法官 发表于 2025-3-22 04:06:33

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哀悼 发表于 2025-3-22 08:15:34

A Survey on Continuous Time ComputationsWe provide an overview of theories of continuous time computation. These theories allow us to understand both the hardness of questions related to continuous time dynamical systems and the computational power of continuous time analog models. We survey the existing models, summarizing results, and point to relevant references in the literature.

Cuisine 发表于 2025-3-22 09:33:39

Applications of the Kleene–Kreisel Density Theorem to Theoretical Computer Scienceef introduction to the classic density theorem, then show how this may be generalized to set theoretical models for algorithms accepting real numbers as inputs, and finally survey some recent applications of this generalization.

没花的是打扰 发表于 2025-3-22 13:16:13

Metamathematical Properties of Intuitionistic Set Theories with Choice Principles several other metamathematical properties hold true for constructive Zermelo–Fraenkel Set Theory and full intuitionistic Zermelo–Fraenkel augmented by any combination of the principles of countable choice, dependent choices, and the presentation axiom. Also Markov’s principle may be added.

CLOT 发表于 2025-3-22 20:33:57

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蛛丝 发表于 2025-3-22 22:47:34

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门闩 发表于 2025-3-23 02:25:50

https://doi.org/10.1007/978-0-387-68546-5Analysis; algorithms; complexity; complexity theory; computability theory; computer; computer science; info

暴行 发表于 2025-3-23 09:07:19

S. Barry Cooper,Benedikt Löwe,Andrea SorbiExplores new developments in the theory and practice of computation from a mathematical perspective.Includes topics ranging from classical computability to complexity, biocomputing, and quantum comput
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查看完整版本: Titlebook: New Computational Paradigms; Changing Conceptions S. Barry Cooper,Benedikt Löwe,Andrea Sorbi Book 2008 Springer-Verlag New York 2008 Analys