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We introduce Clerical, a programming language for exact real-number computation that combines first-order imperative-style programming with a limit operator for computation of real numbers as limits of Cauchy sequences. We address the…

计算机科学中的逻辑 · 计算机科学 2024-09-19 Andrej Bauer , Sewon Park , Alex Simpson

Nondeterministic choice is a useful program construct that provides a way to describe the behaviour of a program without specifying the details of possible implementations. It supports the stepwise refinement of programs, a method that has…

计算机科学中的逻辑 · 计算机科学 2023-02-17 Yuan Feng , Yingte Xu

Probabilistic programming languages rely fundamentally on some notion of sampling, and this is doubly true for probabilistic programming languages which perform Bayesian inference using Monte Carlo techniques. Verifying samplers - proving…

编程语言 · 计算机科学 2023-04-27 Fredrik Dahlqvist , Alexandra Silva , William Smith

Parallelism is often required for performance. In these situations an excess of non-determinism is harmful as it means the program can have several different behaviours or even different results. Even in domains such as high-performance…

编程语言 · 计算机科学 2022-10-28 Laure Gonnord , Ludovic Henrio , Lionel Morel , Gabriel Radanne

Existing decision-theoretic reasoning frameworks such as decision networks use simple data structures and processes. However, decisions are often made based on complex data structures, such as social networks and protein sequences, and rich…

人工智能 · 计算机科学 2014-07-14 Brian E. Ruttenberg , Avi Pfeffer

Programming languages with countable nondeterministic choice are computationally interesting since countable nondeterminism arises when modeling fairness for concurrent systems. Because countable choice introduces non-continuous behaviour,…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Lars Birkedal , Aleš Bizjak , Jan Schwinghammer

Non deterministic applications arise in many domains, including, stochastic optimization, multi-objectives optimization, stochastic planning, contingent stochastic planning, reinforcement learning, reinforcement learning in partially…

人工智能 · 计算机科学 2013-04-29 Emad Saad

This thesis investigates effectful declarative programming with an emphasis on non-determinism as an effect. On the one hand, we are interested in developing applications using non-determinism as underlying implementation idea. We discuss…

编程语言 · 计算机科学 2020-06-03 Sandra Dylus

Computer programs may go wrong due to exceptional behaviors, out-of-bound array accesses, or simply coding errors. Thus, they cannot be blindly trusted. Scientific computing programs make no exception in that respect, and even bring…

This book explores an alternative to the current dominant paradigm where a discrete computer model is constructed as an attempt to approximate some continuum theory. We focus on a class of discrete computer models that are based on simple…

计算机科学中的逻辑 · 计算机科学 2017-04-14 Garry Pantelis

We use the martingale-theoretic approach of game-theoretic probability to incorporate imprecision into the study of randomness. In particular, we define a notion of computable randomness associated with interval, rather than precise,…

概率论 · 数学 2017-05-05 Gert de Cooman , Jasper De Bock

Type-level programming is an increasingly popular way to obtain additional type safety. Unfortunately, it remains a second-class citizen in the majority of industrially-used programming languages. We propose a new dependently-typed system…

编程语言 · 计算机科学 2020-11-17 Georg Stefan Schmid , Olivier Blanvillain , Jad Hamza , Viktor Kunčak

Models of a generalized nondeterminism are defined by limitations on nonde- terministic behavior of a computing device. A regular realizability problem is a problem of verifying existence of a special sort word in a regular language. These…

形式语言与自动机理论 · 计算机科学 2015-03-19 A. Rubtsov , M. Vyalyi

Program specialization is a program transformation methodology which improves program efficiency by exploiting the information about the input data which are available at compile time. We show that current techniques for program…

编程语言 · 计算机科学 2007-05-23 Alberto Pettorossi , Maurizio Proietti , Sophie Renault

We consider imperative programs that involve both randomization and pure nondeterminism. The central question is how to find a strategy resolving the pure nondeterminism such that the so-obtained determinized program satisfies a given…

计算机科学中的逻辑 · 计算机科学 2023-11-15 Kevin Batz , Tom Jannik Biskup , Joost-Pieter Katoen , Tobias Winkler

Numerical software are widely used in safety-critical systems such as aircrafts, satellites, car engines and so on, facilitating dynamics control of such systems in real time, it is therefore absolutely necessary to verify their…

最优化与控制 · 数学 2018-10-30 Bai Xue , Naijun Zhan , Yangjia Li , Qiuye Wang

We define a language-independent model of nondeterministic quantum programs in which a quantum program consists of a finite set of quantum processes. These processes are represented by quantum Markov chains over the common state space. An…

计算机科学中的逻辑 · 计算机科学 2012-01-05 Yangjia Li , Nengkun Yu , Mingsheng Ying

It is well known that the R, the set of real numbers, is an abstract set, where almost all its elements cannot be described in any finite language. We investigate possible approaches to what might be called an epi-constructionist approach…

计算机科学中的逻辑 · 计算机科学 2022-07-12 Zvi Schreiber

Probabilistic inference is fundamentally hard, yet many tasks require optimization on top of inference, which is even harder. We present a new optimization-via-compilation strategy to scalably solve a certain class of such problems. In…

编程语言 · 计算机科学 2025-04-11 Minsung Cho , John Gouwar , Steven Holtzen

We show how the language of Krivine's classical realizability may be used to specify various forms of nondeterminism and relate them with properties of realizability models. More specifically, we introduce an abstract notion of…

计算机科学中的逻辑 · 计算机科学 2018-06-22 Guillaume Geoffroy
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