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We present a systematic, algebraically based, design methodology for efficient implementation of computer programs optimized over multiple levels of the processor/memory and network hierarchy. Using a common formalism to describe the…

Mathematical Software · Computer Science 2008-03-18 Lenore R. Mullin , James E. Raynolds

Integer Linear Programming (ILP) can be seen as the archetypical problem for NP-complete optimization problems, and a wide range of problems in artificial intelligence are solved in practice via a translation to ILP. Despite its huge range…

Data Structures and Algorithms · Computer Science 2018-09-05 Robert Ganian , Sebastian Ordyniak

We present a method for synthesizing recursive functions that provably satisfy a given specification in the form of a polymorphic refinement type. We observe that such specifications are particularly suitable for program synthesis for two…

Programming Languages · Computer Science 2016-04-22 Nadia Polikarpova , Ivan Kuraj , Armando Solar-Lezama

Complexity is a multi-faceted phenomenon, involving a variety of features including disorder, nonlinearity, and self-organisation. We use a recently developed rigorous framework for complexity to understand measures of complexity. We…

Adaptation and Self-Organizing Systems · Physics 2020-09-22 Karoline Wiesner , James Ladyman

Although there is a somewhat standard formalization of computability on countable sets given by Turing machines, the same cannot be said about uncountable sets. Among the approaches to define computability in these sets, order-theoretic…

Logic in Computer Science · Computer Science 2022-09-07 Pedro Hack , Daniel A. Braun , Sebastian Gottwald

We study regular expressions that use variables, or parameters, which are interpreted as alphabet letters. We consider two classes of languages denoted by such expressions: under the possibility semantics, a word belongs to the language if…

Formal Languages and Automata Theory · Computer Science 2015-03-19 Pablo Barceló , Leonid Libkin , Juan Reutter

The ramification method in Implicit Computational Complexity has been associated with functional programming, but adapting it to generic imperative programming is highly desirable, given the wider algorithmic applicability of imperative…

Logic in Computer Science · Computer Science 2020-02-20 Daniel Leivant

Parameterized complexity allows us to analyze the time complexity of problems with respect to a natural parameter depending on the problem. Reoptimization looks for solutions or approximations for problem instances when given solutions to…

Computational Complexity · Computer Science 2019-07-31 Hans-Joachim Böckenhauer , Elisabet Burjons , Martin Raszyk , Peter Rossmanith

We investigate a general framework of multiplicative multitask feature learning which decomposes each task's model parameters into a multiplication of two components. One of the components is used across all tasks and the other component is…

Machine Learning · Computer Science 2016-10-25 Xin Wang , Jinbo Bi , Shipeng Yu , Jiangwen Sun

When we work with information from multiple sources, the formalism each employs to handle uncertainty may not be uniform. In order to be able to combine these knowledge bases of different formats, we need to first establish a common basis…

Artificial Intelligence · Computer Science 2013-02-18 Choh Man Teng

The main purpose of this article is to describe the taxonomy of computer languages according to the levels of abstraction. There exists so many computer languages because of so many reasons like the evolution of better computer languages…

Programming Languages · Computer Science 2013-11-15 Dr. Brijender Kahanwal

Theory-guided machine learning has demonstrated that including authentic domain knowledge directly into model design improves performance, sample efficiency and out-of-distribution generalisation. Yet the process by which a formal domain…

Machine Learning · Computer Science 2026-03-17 Asela Hevapathige , Yu Xia , Sachith Seneviratne , Saman Halgamuge

Compositionality is a key property for dealing with complexity, which has been studied from many points of view in diverse fields. Particularly, the composition of individual computations (or programs) has been widely studied almost since…

Logic in Computer Science · Computer Science 2022-06-06 Damian Arellanes

We present a conceptual framework that unifies a variety of evaluation metrics for different structured prediction tasks (e.g. event and relation extraction, syntactic and semantic parsing). Our framework requires representing the outputs…

Computation and Language · Computer Science 2023-10-24 Yunmo Chen , William Gantt , Tongfei Chen , Aaron Steven White , Benjamin Van Durme

Analyzing a Feature Model (FM) and reasoning on the corresponding configuration space is a central task in Software Product Line (SPL) engineering. Problems such as deciding the satisfiability of the FM and eliminating inconsistent parts of…

Software Engineering · Computer Science 2023-02-15 Pierre Bourhis , Laurence Duchien , Jérémie Dusart , Emmanuel Lonca , Pierre Marquis , Clément Quinton

Graph theory has been a powerful tool in solving difficult and complex problems arising in all disciplines. In particular, graph matching is a classical problem in pattern analysis with enormous applications. Many graph problems have been…

Data Structures and Algorithms · Computer Science 2024-06-13 Bahram Alidaee , Haibo Wang , Hugh Sloan

The knapsack problem (KP) is a very famous NP-hard problem in combinatorial optimization. Also its generalization to multiple dimensions named d-dimensional knapsack problem (d-KP) and to multiple knapsacks named multiple knapsack problem…

Computational Complexity · Computer Science 2016-11-24 Carolin Albrecht , Frank Gurski , Jochen Rethmann , Eda Yilmaz

A decision problem is called parameterized if its input is a pair of strings. One of these strings is referred to as a parameter. The problem: given a propositional logic program P and a non-negative integer k, decide whether P has a stable…

Logic in Computer Science · Computer Science 2007-05-23 Zbigniew Lonc , Miroslaw Truszczynski

We introduce a method for using deep neural networks to amortize the cost of inference in models from the family induced by universal probabilistic programming languages, establishing a framework that combines the strengths of probabilistic…

Artificial Intelligence · Computer Science 2018-09-03 Tuan Anh Le , Atilim Gunes Baydin , Frank Wood

Among the various forms of reasoning studied in the context of artificial intelligence, qualitative reasoning makes it possible to infer new knowledge in the context of imprecise, incomplete information without numerical values. In this…

Artificial Intelligence · Computer Science 2026-02-10 Quentin Cohen-Solal , Alexandre Niveau , Maroua Bouzid