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Over the decades, Functional Analysis has been enriched and inspired on account of demands from neighboring fields, within mathematics, harmonic analysis (wavelets and signal processing), numerical analysis (finite element methods,…

Functional Analysis · Mathematics 2015-08-25 Palle Jorgensen , Feng Tian

For recursive functions general principles of induction needs to be applied. Instead of verifying them directly using the Vienna Development Method Specification Language (VDM-SL), we suggest a translation to Isabelle/HOL. In this paper,…

Formal Languages and Automata Theory · Computer Science 2023-03-31 Leo Freitas , Peter Gorm Larsen

Transfer learning is a popular paradigm for utilizing existing knowledge from previous learning tasks to improve the performance of new ones. It has enjoyed numerous empirical successes and inspired a growing number of theoretical studies.…

Machine Learning · Computer Science 2023-05-23 Haoyang Cao , Haotian Gu , Xin Guo

Students of our department solve algebraic exercises in mathematical logic in a computerized environment. They construct transformations step by step and the program checks the syntax, equivalence of expressions and completion of the task.…

Symbolic Computation · Computer Science 2013-07-01 Rein Prank

As robots begin to cohabit with humans in semi-structured environments, the need arises to understand instructions involving rich variability---for instance, learning to ground symbols in the physical world. Realistically, this task must…

Artificial Intelligence · Computer Science 2017-06-02 Yordan Hristov , Svetlin Penkov , Alex Lascarides , Subramanian Ramamoorthy

Instruction sets, from families like x86 and ARM, are at the center of many ambitious formal-methods projects. Many verification, synthesis, programming, and debugging tools rely on formal semantics of instruction sets, but different tools…

Logic in Computer Science · Computer Science 2022-11-18 Thomas Bourgeat , Ian Clester , Andres Erbsen , Samuel Gruetter , Pratap Singh , Andrew Wright , Adam Chlipala

We unify functional and logic programming by treating predicatesas functions equipped with their support: the set of inputs whose output is nonzero. Datalog, for instance, is a language of finitely supported boolean functions. Finite…

Programming Languages · Computer Science 2026-04-30 Michael Arntzenius , Max Willsey

Sequential programming and work-flow programming are two useful, but radically different, ways of describing computational processing. Of the two, it is sequential programming that we teach all programmers and support by programming…

Programming Languages · Computer Science 2011-08-24 William Harrison

State of the art sequence-to-sequence models for large scale tasks perform a fixed number of computations for each input sequence regardless of whether it is easy or hard to process. In this paper, we train Transformer models which can make…

Computation and Language · Computer Science 2020-02-18 Maha Elbayad , Jiatao Gu , Edouard Grave , Michael Auli

Set function learning has emerged as a crucial area in machine learning, addressing the challenge of modeling functions that take sets as inputs. Unlike traditional machine learning that involves fixed-size input vectors where the order of…

Machine Learning · Computer Science 2025-01-28 Jiahao Xie , Guangmo Tong

Program representation learning is a fundamental task in software engineering applications. With the availability of "big code" and the development of deep learning techniques, various program representation learning models have been…

Software Engineering · Computer Science 2021-09-17 Siqi Han , DongXia Wang , Wanting Li , Xuesong Lu

This tutorial gives an advanced introduction to string diagrams and graph languages for higher-order computation. The subject matter develops in a principled way, starting from the two dimensional syntax of key categorical concepts such as…

Logic in Computer Science · Computer Science 2024-12-05 Dan Ghica , Fabio Zanasi

Sequence models in reinforcement learning require task knowledge to estimate the task policy. This paper presents a hierarchical algorithm for learning a sequence model from demonstrations. The high-level mechanism guides the low-level…

Machine Learning · Computer Science 2022-09-22 André Correia , Luís A. Alexandre

Natural language understanding programs get bogged down by the multiplicity of possible syntactic structures while processing real world texts that human understanders do not have much difficulty with. In this work, I analyze the…

cmp-lg · Computer Science 2008-02-03 Kavi Mahesh

Learning to solve complex goal-oriented tasks with sparse terminal-only rewards often requires an enormous number of samples. In such cases, using a set of expert trajectories could help to learn faster. However, Imitation Learning (IL) via…

Machine Learning · Computer Science 2019-11-19 Sujoy Paul , Jeroen van Baar , Amit K. Roy-Chowdhury

Providing feedback on programming assignments manually is a tedious, error prone, and time-consuming task. In this paper, we motivate and address the problem of generating feedback on performance aspects in introductory programming…

Programming Languages · Computer Science 2014-09-18 Sumit Gulwani , Ivan Radiček , Florian Zuleger

Cognitive transfer is the ability to apply learned skills and knowledge to new applications and contexts. This investigation evaluates cognitive transfer outcomes for a tertiary-level introductory statistics course using the CATALST…

Other Statistics · Statistics 2017-12-05 Matthew D. Beckman , Robert C. delMas , Joan Garfield

The paper describes a parser for Categorial Grammar which provides fully word by word incremental interpretation. The parser does not require fragments of sentences to form constituents, and thereby avoids problems of spurious ambiguity.…

cmp-lg · Computer Science 2016-08-31 David Milward

Learning complex programs through inductive logic programming (ILP) remains a formidable challenge. Existing higher-order enabled ILP systems show improved accuracy and learning performance, though remain hampered by the limitations of the…

Artificial Intelligence · Computer Science 2022-08-02 Stanisław J. Purgał , David M. Cerna , Cezary Kaliszyk

Context: Reynolds showed us how to use continuation-passing style and defunctionalization to transform a recursive interpreter for a language into an abstract machine for programs in that language. The same techniques explain other…

Programming Languages · Computer Science 2021-11-23 Jeremy Gibbons
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