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We present a metagrammatical formalism, {\em generic rules}, to give a default interpretation to grammar rules. Our formalism introduces a process of {\em dynamic binding} interfacing the level of pure grammatical knowledge representation…

cmp-lg · 计算机科学 2008-02-03 Julio Gonzalo , Teresa Solias

Sorting algorithms are fundamental to computer science, and their correctness criteria are well understood as rearranging elements of a list according to a specified total order on the underlying set of elements. As mathematical functions,…

计算机科学中的逻辑 · 计算机科学 2025-12-09 Vikraman Choudhury , Wind Wong

Functional decomposition is the process of breaking down a function $f$ into a composition $f=g(f_1,\dots,f_k)$ of simpler functions $f_1,\dots,f_k$ belonging to some class $\mathcal{F}$. This fundamental notion can be used to model…

计算复杂性 · 计算机科学 2026-01-14 Mateus de Oliveira Oliveira , Wim Van den Broeck

Is there a characteristic of coordination languages that makes them qualitatively different from general programming languages and deserves special academic attention? This report proposes a nuanced answer in three parts. The first part…

软件工程 · 计算机科学 2013-06-17 Raphael 'kena' Poss

This paper develops a methodology for representing machine learning models as models of formal theories, grounded in the perspective that machine learning models are a form of database and that databases are models of theories in coherent…

范畴论 · 数学 2026-04-17 Matthew Pugh , Jo Grundy , Corina Cirstea , Nick Harris

We revisit the behavioral approach to systems theory and make explicit the abstract pattern that governs it. Our end goal is to use that pattern to understand interaction-related phenomena that emerge when systems interact. Rather than…

系统与控制 · 电气工程与系统科学 2019-11-26 Elie M. Adam , Munther A. Dahleh

In this paper we study the notion of synchronization from the point of view of combinatorics. As a first step, we address the quantitative problem of counting the number of executions of simple processes interacting with synchronization…

编程语言 · 计算机科学 2019-07-10 Olivier Bodini , Matthieu Dien , Antoine Genitrini , Frédéric Peschanski

Physical systems with symmetries are described by functions containing kinematical and dynamical parts. We consider the case when kinematical symmetries are described by a noncompact semisimple real Lie group $G$. Then separation of…

数学物理 · 物理学 2008-04-24 Ivan Kachuryk , Anatoliy Klimyk

This paper studies visual search using structured queries. The structure is in the form of a 2D composition that encodes the position and the category of the objects. The transformation of the position and the category of the objects leads…

计算机视觉与模式识别 · 计算机科学 2020-10-28 Mert Kilickaya , Arnold W. M. Smeulders

The compactness theorem for a logic states, roughly, that the satisfiability of a set of well-formed formulas can be determined from the satisfiability of its finite subsets, and vice versa. Usually, proofs of this theorem depend on the…

逻辑 · 数学 2025-07-04 Sayantan Roy , Sankha S. Basu , Mihir K. Chakraborty

Asymmetric combination of logics is a formal process that develops the characteristic features of a specific logic on top of another one. Typical examples include the development of temporal, hybrid, and probabilistic dimensions over a…

Matching logic is a logical framework for specifying and reasoning about programs using pattern matching semantics. A pattern is made up of a number of structural components and constraints. Structural components are syntactically matched,…

计算机科学中的逻辑 · 计算机科学 2024-11-01 Ádám Kurucz , Péter Bereczky , Dániel Horpácsi

In a recent article, Brette argues that coding as a concept is inappropriate for explanations of neurocognitive phenomena. Here, we argue that Brette's conceptual analysis mischaracterizes the structure of causal claims in coding and other…

神经元与认知 · 定量生物学 2019-04-19 David Barack , Andrew Jaegle

This paper provides a model theoretic semantics to feature terms augmented with set descriptions. We provide constraints to specify HPSG style set descriptions, fixed cardinality set descriptions, set-membership constraints, restricted…

cmp-lg · 计算机科学 2008-02-03 Suresh Manandhar

The question "What is category theory" is approached by focusing on universal mapping properties and adjoint functors. Category theory organizes mathematics using morphisms that transmit structure and determination. Structures of…

范畴论 · 数学 2007-05-23 David Ellerman

This is a book on higher-categorical diagrams, including pasting diagrams. It aims to provide a thorough and modern reference on the subject, collecting, revisiting and expanding results scattered across the literature, informed by recent…

范畴论 · 数学 2024-10-31 Amar Hadzihasanovic

Deep learning, despite its remarkable achievements, is still a young field. Like the early stages of many scientific disciplines, it is marked by the discovery of new phenomena, ad-hoc design decisions, and the lack of a uniform and…

机器学习 · 计算机科学 2024-03-21 Bruno Gavranović

Segmentation, a new approach based on successive edge contraction is introduced for extract method refactoring. It targets identification of distinct functionalities implemented within a method. Segmentation builds upon data and control…

软件工程 · 计算机科学 2019-08-14 Omkarendra Tiwari , Rushikesh K. Joshi

Many neural nets appear to represent data as linear combinations of "feature vectors." Algorithms for discovering these vectors have seen impressive recent success. However, we argue that this success is incomplete without an understanding…

人工智能 · 计算机科学 2024-07-23 Martin Wattenberg , Fernanda B. Viégas

In context of efforts of composing category-theoretic and logical methods in the area of knowledge representation we propose the notion of conceptory. We consider intersection/union and other constructions in conceptories as expressive…

计算机科学中的逻辑 · 计算机科学 2010-08-10 Osman Bineev