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Most ideas about what an algorithm is are very similar. Basic operations are used for transforming objects. The evaluation of internal and external states by relations has impact on the further process. A more precise definition can lead to…

逻辑 · 数学 2025-02-26 Christine Gaßner

In this work we study the space complexity of computable real numbers represented by fast convergent Cauchy sequences. We show the existence of families of trascendental numbers which are logspace computable, as opposed to algebraic…

计算复杂性 · 计算机科学 2018-05-08 Masaki Nakanishi , Marcos Villagra

Answer Set Programming (ASP) is a popular logic programming paradigm that has been applied for solving a variety of complex problems. Among the most challenging real-world applications of ASP are two industrial problems defined by Siemens:…

We exhibit a probabilistic algorithm which computes a rational point of an absolutely irreducible variety over a finite field defined by a reduced regular sequence. Its time--space complexity is roughly quadratic in the logarithm of the…

数论 · 数学 2007-05-23 Antonio Cafure , Guillermo Matera

In this paper we tackle the problem of automatically designing concurrent data structure operations given a sequential data structure specification and knowledge about concurrent behavior. Designing concurrent code is a non-trivial task…

计算机科学中的逻辑 · 计算机科学 2020-11-10 Sarat Chandra Varanasi , Neeraj Mittal , Gopal Gupta

Approximate Bayesian computation (ABC) methods perform inference on model-specific parameters of mechanistically motivated parametric statistical models when evaluating likelihoods is difficult. Central to the success of ABC methods is…

统计计算 · 统计学 2013-01-29 Erkan O. Buzbas , Noah A. Rosenberg

The radius of robust feasibility provides a numerical value for the largest possible uncertainty set that guarantees robust feasibility of an uncertain linear conic program. This determines when the robust feasible set is non-empty.…

最优化与控制 · 数学 2020-07-16 Miguel A. Goberna , Vaithilingam Jeyakumar , Guoyin Li

The completely bounded trace and spectral norms, for finite-dimensional spaces, are known to be efficiently expressible by semidefinite programs (J. Watrous, Theory of Computing 5: 11, 2009). This paper presents two new, and arguably much…

量子物理 · 物理学 2012-08-03 John Watrous

In the same sense as classical logic is a formal theory of truth, the recently initiated approach called computability logic is a formal theory of computability. It understands (interactive) computational problems as games played by a…

计算机科学中的逻辑 · 计算机科学 2011-04-15 Giorgi Japaridze

We focus on rational solutions or nearly-feasible rational solutions that serve as certificates of feasibility for polynomial optimization problems. We show that, under some separability conditions, certain cubic polynomially constrained…

最优化与控制 · 数学 2022-04-15 Daniel Bienstock , Alberto del Pia , Robert Hildebrand

We classify the possible Scott complexities for models of Peano arithmetic. We construct models of particular complexities by first giving a complete Scott analysis of colored linear orderings and constructing models of Peano arithmetic…

逻辑 · 数学 2025-07-17 David Gonzalez , Mateusz Łełyk , Dino Rossegger , Patryk Szlufik

There is a sharp disconnect between the programming and mathematical portions of the standard undergraduate computer science curriculum, leading to student misunderstanding about how the two are related. We propose connecting the subjects…

编程语言 · 计算机科学 2019-07-10 David G. Wonnacott , Peter-Michael Osera

The Acceptance Probability Estimation Problem (APEP) is to additively approximate the acceptance probability of a Boolean circuit. This problem admits a probabilistic approximation scheme. A central question is whether we can design a…

计算复杂性 · 计算机科学 2021-03-16 Peter Dixon , A. Pavan , N. V. Vinodchandran

We consider the problem of implementing deontic modal logic. We show how (deontic) modal operators can be elegantly and directly expressed using default negation (negation-as-failure) and strong negation present in answer set programming…

人工智能 · 计算机科学 2026-04-28 Gopal Gupta , Abhiramon Rajasekharan , Alexis R. Tudor , Elmer Salazar , Joaquín Arias

The Massively Parallel Computation (MPC) model serves as a common abstraction of many modern large-scale data processing frameworks, and has been receiving increasingly more attention over the past few years, especially in the context of…

分布式、并行与集群计算 · 计算机科学 2020-01-08 Danupon Nanongkai , Michele Scquizzato

This paper contributes to the mathematical foundations of logic programming by introducing and studying the sequential composition of answer set programs. On the semantic side, we show that the immediate consequence operator of a program…

人工智能 · 计算机科学 2024-06-13 Christian Antić

Adversarial computations are a widely studied class of computations where resource-bounded probabilistic adversaries have access to oracles, i.e., probabilistic procedures with private state. These computations arise routinely in several…

计算机科学中的逻辑 · 计算机科学 2021-07-13 Alejandro Aguirre , Gilles Barthe , Marco Gaboardi , Deepak Garg , Shin-ya Katsumata , Tetsuya Sato

Nowadays, the number of emerging embedded systems rapidly grows in many application domains, due to recent advances in artificial intelligence and internet of things. The main inherent specification of these application-specific systems is…

硬件体系结构 · 计算机科学 2024-03-26 Mohsen Faryabi , Amir Hossein Moradi

Computational feasibility is a widespread concern that guides the framing and modeling of biological and artificial intelligence. The specification of cognitive system capacities is often shaped by unexamined intuitive assumptions about the…

人工智能 · 计算机科学 2022-05-12 Federico Adolfi , Todd Wareham , Iris van Rooij

Problems in program analysis can be solved by developing novel program semantics and deriving abstractions conventionally. For over thirty years, higher-order program analysis has been sold as a hard problem. Its solutions have required…

编程语言 · 计算机科学 2011-05-03 Sam Tobin-Hochstadt , David Van Horn
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