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Data valuation seeks to answer the important question, "How much is this data worth?" Existing data valuation methods have largely focused on discriminative models, primarily examining data value through the lens of its utility in training.…

Machine Learning · Computer Science 2024-10-17 Mohamad Rida Rammal , Ruida Zhou , Suhas Diggavi

We present a system, called CASS, for the analysis of functional logic programs. The system is generic so that various kinds of analyses (e.g., groundness, non-determinism, demanded arguments) can be easily integrated. In order to analyze…

Programming Languages · Computer Science 2013-07-18 Michael Hanus , Fabian Reck

This paper introduces semi-ring dictionaries, a powerful class of compositional and purely functional collections that subsume other collection types such as sets, multisets, arrays, vectors, and matrices. We developed SDQL, a statically…

Programming Languages · Computer Science 2022-03-23 Amir Shaikhha , Mathieu Huot , Jaclyn Smith , Dan Olteanu

This work introduces the novel concept of kind refinement, which we develop in the context of an explicitly polymorphic ML-like language with type-level computation. Just as type refinements embed rich specifications by means of…

Programming Languages · Computer Science 2019-08-02 Luís Caires , Bernardo Toninho

Existing refinement calculi provide frameworks for the stepwise development of imperative programs from specifications. This paper presents a refinement calculus for deriving logic programs. The calculus contains a wide-spectrum logic…

Software Engineering · Computer Science 2007-05-23 Ian Hayes , Robert Colvin , David Hemer , Paul Strooper , Ray Nickson

The unification of logic and probability is a long-standing concern in AI, and more generally, in the philosophy of science. In essence, logic provides an easy way to specify properties that must hold in every possible world, and…

Artificial Intelligence · Computer Science 2020-06-18 Vaishak Belle

Linear algebra computations are foundational for neural networks and machine learning, often handled through arrays. While many functional programming languages feature lists and recursion, arrays in linear algebra demand constant-time…

Programming Languages · Computer Science 2024-05-29 David Richter , Timon Böhler , Pascal Weisenburger , Mira Mezini

An equational logic program is a set of directed equations or rules, which are used to compute in the obvious way (by replacing equals with ``simpler'' equals). We present static analysis techniques for efficient equational logic…

Logic in Computer Science · Computer Science 2007-05-23 Rakesh M. Verma

Common approaches to concurrent programming begin with languages whose semantics are naturally sequential and add new constructs that provide limited access to concurrency, as exemplified by futures. This approach has been quite successful,…

Programming Languages · Computer Science 2023-06-22 Klaas Pruiksma , Frank Pfenning

Ludics is a logical framework in which types/formulas are modelled by sets of terms with the same computational behaviour. This paper investigates the representation of inductive data types and functional types in ludics. We study their…

Logic in Computer Science · Computer Science 2017-07-28 Alice Pavaux

We introduce a new native code compiler for Curry codenamed Sprite. Sprite is based on the Fair Scheme, a compilation strategy that provides instructions for transforming declarative, non-deterministic programs of a certain class into…

Programming Languages · Computer Science 2016-08-16 Sergio Antoy , Andy Jost

In this paper, we consider first-order logic over unary functions and study the complexity of the evaluation problem for conjunctive queries described by such kind of formulas. A natural notion of query acyclicity for this language is…

Logic in Computer Science · Computer Science 2007-05-23 Arnaud Durand , Etienne Grandjean

It is widely acknowledged that function symbols are an important feature in answer set programming, as they make modeling easier, increase the expressive power, and allow us to deal with infinite domains. The main issue with their…

Artificial Intelligence · Computer Science 2020-02-19 Marco Calautti , Sergio Greco , Cristian Molinaro , Irina Trubitsyna

Logic programming, as exemplified by datalog, defines the meaning of a program as its unique smallest model: the deductive closure of its inference rules. However, many problems call for an enumeration of models that vary along some set of…

Programming Languages · Computer Science 2024-11-22 Chris Martens , Robert J. Simmons , Michael Arntzenius

Substructural logics naturally support a quantitative interpretation of formulas, as they are seen as consumable resources. Distances are the quantitative counterpart of equivalence relations: they measure how much two objects are similar,…

Logic in Computer Science · Computer Science 2025-02-05 Francesco Dagnino , Fabio Pasquali

Specifications of significant systems can be made short and perspicuous by using abstract data types; data reification can provide a clear, stepwise, development history of programs that use more efficient concrete representations. Data…

Logic in Computer Science · Computer Science 2024-05-10 Larissa A. Meinicke , Ian J. Hayes , Cliff B. Jones

Functionals are an important research subject in Mathematics and Computer Science as well as a challenge in Information Technologies where the current programming paradigm states that only symbolic computations are possible on higher order…

Logic · Mathematics 2018-09-13 Stanislaw Ambroszkiewicz

Relational Hoare logics (RHL) provide rules for reasoning about relations between programs. Several RHLs include a rule we call sequential product that infers a relational correctness judgment from judgments of ordinary Hoare logic (HL).…

Logic in Computer Science · Computer Science 2021-05-03 Ramana Nagasamudram , David A. Naumann

Matching Logic is a framework for specifying programming language semantics and reasoning about programs. Its formulas are called patterns and are built with variables, symbols, connectives and quantifiers. A pattern is a combination of…

Logic in Computer Science · Computer Science 2018-11-16 Andrei Arusoaie , Dorel Lucanu

Quantitative reasoning is a higher-order reasoning skill that any intelligent natural language understanding system can reasonably be expected to handle. We present EQUATE (Evaluating Quantitative Understanding Aptitude in Textual…

Computation and Language · Computer Science 2019-10-29 Abhilasha Ravichander , Aakanksha Naik , Carolyn Rose , Eduard Hovy