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We introduce a topology, which we call the regional topology, on the space of all real functions on a given locally compact metric space. Next we obtain a new versions of Schauder's fixed point theorem and Ascoli's theorem. We use these…

Classical Analysis and ODEs · Mathematics 2014-06-18 Janusz Migda

Syntax-guided synthesis is commonly used to generate programs encoding policies. In this approach, the set of programs, that can be written in a domain-specific language defines the search space, and an algorithm searches within this space…

Machine Learning · Computer Science 2024-06-14 Rubens O. Moraes , Levi H. S. Lelis

We consider two classes of computations which admit taking linear combinations of execution runs: probabilistic sampling and generalized animation. We argue that the task of program learning should be more tractable for these architectures…

Logic in Computer Science · Computer Science 2015-12-17 Michael Bukatin , Steve Matthews

Representing a scanned map of the real environment as a topological structure is an important research in robotics. %is currently an important research. Since topological representations of maps save a huge amount of map storage space and…

Robotics · Computer Science 2018-11-15 Jiawei Hou , Yijun Yuan , Sören Schwertfeger

A visual programming language uses pictorial tools such as diagrams to represent its structural units and control stream. It is useful for enhancing understanding, maintenance, verification, testing, and parallelism. This paper proposes a…

Programming Languages · Computer Science 2013-04-23 Sabah Al-Fedaghi

Rule-based reasoning is an essential part of human intelligence prominently formalized in artificial intelligence research via logic programs. Describing complex objects as the composition of elementary ones is a common strategy in computer…

Artificial Intelligence · Computer Science 2023-12-15 Christian Antic

Program synthesis aims to automatically generate an executable program that conforms to the given specification. Recent advancements have demonstrated that deep neural methodologies and large-scale pretrained language models are highly…

Robotics · Computer Science 2023-12-14 Tianyi Chen , Qidi Wang , Zhen Dong , Liwei Shen , Xin Peng

Operational semantics has established itself as a flexible but rigorous means to describe the meaning of programming languages. Oftentimes, it is felt necessary to keep a semantics small, for example to facilitate its use for model checking…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-17 Benjamin Morandi , Sebastian Nanz , Bertrand Meyer

Choreographies are global descriptions of interactions among concurrent components, most notably used in the settings of verification and synthesis of correct-by-construction software. They require a top-down approach: programmers first…

Programming Languages · Computer Science 2022-05-09 Luis Cruz-Filipe , Kim S. Larsen , Fabrizio Montesi , Larisa Safina

We investigate compositional structures in data embeddings from pre-trained vision-language models (VLMs). Traditionally, compositionality has been associated with algebraic operations on embeddings of words from a pre-existing vocabulary.…

Machine Learning · Computer Science 2024-01-12 Matthew Trager , Pramuditha Perera , Luca Zancato , Alessandro Achille , Parminder Bhatia , Stefano Soatto

Monads govern computational side-effects in programming semantics. They can be combined in a ''bottom-up'' way to handle several instances of such effects. Indexed monads and graded monads do this in a modular way. Here, instead, we equip…

Logic in Computer Science · Computer Science 2021-08-05 Carmen Constantin , Nuiok Dicaire , Chris Heunen

Choreographic Programming is a correct-by-construction paradigm where a compilation procedure synthesises deadlock-free, concurrent, and distributed communicating processes from global, declarative descriptions of communications, called…

Programming Languages · Computer Science 2020-12-15 Saverio Giallorenzo , Fabrizio Montesi , Maurizio Gabbrielli

In this paper we present a new semidefinite programming hierarchy for covering problems in compact metric spaces. Over the last years, these kind of hierarchies were developed primarily for geometric packing and for energy minimization…

Optimization and Control · Mathematics 2026-02-12 Cordian Riener , Jan Rolfes , Frank Vallentin

We propose a functional description of rewriting systems on topological vector spaces. We introduce the topological confluence property as an approximation of the confluence property. Using a representation of linear topological rewriting…

Rings and Algebras · Mathematics 2019-12-02 Cyrille Chenavier

Automating the solutions of multiple network information theory problems, stretching from fundamental concerns such as determining all information inequalities and the limitations of linear codes, to applied ones such as designing coded…

Information Theory · Computer Science 2017-07-10 Jayant Apte , John MacLaren Walsh

When humans conceive how to perform a particular task, they do so hierarchically: splitting higher-level tasks into smaller sub-tasks. However, in the literature on natural language (NL) command of situated agents, most works have treated…

Computation and Language · Computer Science 2023-09-21 Shuyan Zhou , Pengcheng Yin , Graham Neubig

In this paper, we introduce methods of encoding propositional logic programs in vector spaces. Interpretations are represented by vectors and programs are represented by matrices. The least model of a definite program is computed by…

Artificial Intelligence · Computer Science 2018-11-29 Chiaki Sakama , Hien D. Nguyen , Taisuke Sato , Katsumi Inoue

In [1] we introduced the concept of structured space, which is a topological space that locally resembles some algebraic structures. In [2] we proceeded the study of these spaces, developing two cohomology theories. The aim of this paper is…

Algebraic Topology · Mathematics 2020-04-28 Manuel Norman

The study of random landscapes has long relied on counting stationary points: metastable states and the barriers between them. However, this method is useless for describing flat regions, common in constraint satisfaction problems. We…

Disordered Systems and Neural Networks · Physics 2026-02-16 Jaron Kent-Dobias

Neurons in the brain are spatially organized such that neighbors on tissue often exhibit similar response profiles. In the human language system, experimental studies have observed clusters for syntactic and semantic categories, but the…

Computation and Language · Computer Science 2025-05-16 Neil Rathi , Johannes Mehrer , Badr AlKhamissi , Taha Binhuraib , Nicholas M. Blauch , Martin Schrimpf