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The framework of algorithmic knowledge assumes that agents use deterministic knowledge algorithms to compute the facts they explicitly know. We extend the framework to allow for randomized knowledge algorithms. We then characterize the…

Artificial Intelligence · Computer Science 2017-01-11 Joseph Y. Halpern , Riccardo Pucella

One key technical challenge in the age of autonomous machines is the programming of autonomous machines, which demands the synergy across multiple domains, including fundamental computer science, computer architecture, and robotics, and…

Robotics · Computer Science 2022-09-07 Shaoshan Liu , Xiaoming Li , Tongsheng Geng , Stephane Zuckerman , Jean-Luc Gaudiot

Combinatorics, like computer science, often has to deal with large objects of unspecified (or unusable) structure. One powerful way to deal with such an arbitrary object is to decompose it into more usable components. In particular, it has…

Combinatorics · Mathematics 2011-11-10 Terence Tao

Encouraged by significant advances in algorithms and tools for verification and analysis, high level modeling and programming techniques, natural language programming, etc., we feel it is time for a major change in the way complex software…

Software Engineering · Computer Science 2015-02-05 David Harel , Guy Katz , Rami Marelly , Assaf Marron

An uncertainty compiler is a tool that automatically translates original computer source code lacking explicit uncertainty analysis into code containing appropriate uncertainty representations and uncertainty propagation algorithms. We have…

Mathematical Software · Computer Science 2023-06-05 Nicholas Gray , Marco De Angelis , Scott Ferson

An essential element of classical computation is the "if-then" construct, that accepts a control bit and an arbitrary gate, and provides conditional execution of the gate depending on the value of the controlling bit. On the other hand,…

Quantum Physics · Physics 2016-09-02 Alessandro Bisio , Michele Dall'Arno , Paolo Perinotti

The goal of machine learning is to facilitate a computer to execute a specific task without explicit instruction by an external party. Quantum foundations seeks to explain the conceptual and mathematical edifice of quantum theory. Recently,…

Quantum Physics · Physics 2021-02-04 Kishor Bharti , Tobias Haug , Vlatko Vedral , Leong-Chuan Kwek

Motivated by the amount of code that goes unidentified on the web, we introduce a practical method for algorithmically identifying the programming language of source code. Our work is based on supervised learning and intelligent statistical…

Machine Learning · Computer Science 2011-11-10 David Klein , Kyle Murray , Simon Weber

Based on Darwin's natural selection, we developed "machine scientists" to discover the laws of nature by learning from raw data. "Machine scientists" construct physical theories by applying a logic tree (state Decision Tree) and a value…

Machine Learning · Computer Science 2023-07-11 Lizhi Xin , Kevin Xin , Houwen Xin

Matrix code allows one to discover algorithms and to render them in code that is both compilable and is correct by construction. In this way the difficulty of verifying existing code is avoided. The method is especially important for…

Programming Languages · Computer Science 2018-12-27 M. H. van Emden

This work summarizes part of current knowledge on High-level Cognitive process and its relation with biological hardware. Thus, it is possible to identify some paradoxes which could impact the development of future technologies and…

Artificial Intelligence · Computer Science 2017-06-06 Camilo Miguel Signorelli

The consciousness standing for artificial intelligence divides opinions across epistemological positions. Whether or not machines can be conscious, and whether we can ascertain the truth of such a proposition for any given case, has…

Neurons and Cognition · Quantitative Biology 2026-05-06 Warisa Sritriratanarak , Paulo Garcia

Mandating public availability of computer code underlying computational simulation modeling research ends up doing a disservice to the cause of model verification when inconsistencies between the specifications in the publication text and…

Software Engineering · Computer Science 2021-05-12 Sasanka Sekhar Chanda

Long-term autonomy of robotic systems implicitly requires dependable platforms that are able to naturally handle hardware and software faults, problems in behaviors, or lack of knowledge. Model-based dependable platforms additionally…

Robotics · Computer Science 2022-07-21 Stalin Muñoz Gutiérrez , Gerald Steinbauer-Wagner

General wisdom is, mathematical operation is needed to generate number by numbers. It is pointed out that without any mathematical operation true random numbers can be generated by numbers through algorithmic process. It implies that human…

Data Structures and Algorithms · Computer Science 2009-06-16 Arindam Mitra

Accountability is an often called for property of technical systems. It is a requirement for algorithmic decision systems, autonomous cyber-physical systems, and for software systems in general. As a concept, accountability goes back to the…

Software Engineering · Computer Science 2021-04-30 Severin Kacianka , Alexander Pretschner

We provide a unifying framework where artificial neural networks and their architectures can be formally described as particular cases of a general mathematical construction--machines of finite depth. Unlike neural networks, machines have a…

Machine Learning · Computer Science 2022-04-28 Pietro Vertechi , Mattia G. Bergomi

We introduce the notion of fault tolerant mechanism design, which extends the standard game theoretic framework of mechanism design to allow for uncertainty about execution. Specifically, we define the problem of task allocation in which…

Computer Science and Game Theory · Computer Science 2013-01-07 Ryan Porter , Amir Ronen , Yoav Shoham , Moshe Tennenholtz

Using the theory of Kolmogorov complexity the notion of facticity {\phi}(x) of a string is defined as the amount of self-descriptive information it contains. It is proved that (under reasonable assumptions: the existence of an empty machine…

Information Theory · Computer Science 2012-03-13 Pieter Adriaans

When there exists uncertainty, AI machines are designed to make decisions so as to reach the best expected outcomes. Expectations are based on true facts about the objective environment the machines interact with, and those facts can be…

Machine Learning · Computer Science 2024-07-09 Jinsook Kim