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Logic programming with fixed-point definitions is a useful extension of traditional logic programming. Fixed-point definitions can capture simple model checking problems and closed-world assumptions. Its operational semantics is typically…

Logic in Computer Science · Computer Science 2015-08-06 Keehang Kwon

Approximation fixpoint theory (AFT) is an abstract and general algebraic framework for studying the semantics of non-monotonic logics. In recent work, AFT was generalized to non-deterministic operators, i.e.\ operators whose range are sets…

Artificial Intelligence · Computer Science 2023-05-19 Jesse Heyninck , Bart Bogaerts

The object of this lecture is to propose a series of conjectures and problems in different fields of analysis. They have been formulated with the aim of introducing some innovative methods in the study of classical topics, as open mappings,…

Functional Analysis · Mathematics 2007-05-23 Biagio Ricceri

The idea of using unfolding as a way of computing a program semantics has been applied successfully to logic programs and has shown itself a powerful tool that provides concrete, implementable results, as its outcome is actually source…

Programming Languages · Computer Science 2017-08-29 José María Rey-Poza , Julio Mariño-Carballo

We propose a novel framework to facilitate the on-demand design of data-centric systems by exploiting domain knowledge from an existing ontology. Its key ingredient is a process that we call focusing, which allows to obtain a schema for a…

Logic in Computer Science · Computer Science 2019-04-02 Tomasz Gogacz , Víctor Gutiérrez-Basulto , Yazmín A. Ibáñez-García , Filip Murlak , Magdalena Ortiz , Mantas Šimkus

The focus of the papers presented in this volume is on the interplay between syntax and semantics in case of languages, namely the central question of what a program means and how it does define the intended procedure. This is a crucial…

Logic in Computer Science · Computer Science 2013-09-05 Ugo de'Liguoro , Alexis Saurin

We read Karen Crowther's \emph{Another 100 Years of Quantum Interpretation?} with two practical goals. First, we spell out what she means by interpretation'': an attempt to provide understanding (not just predictions), which may be…

History and Philosophy of Physics · Physics 2026-01-01 Mikołaj Sienicki , Krzysztof Sienicki

Hilary Putnam once suggested that "the actual existence of sets as 'intangible objects' suffers... from a generalization of a problem first pointed out by Paul Benacerraf... are sets a kind of function or are functions a sort of set?"…

Logic · Mathematics 2024-01-02 Tim Button

This book is not meant to be another compendium of select inequalities, nor does it claim to contain the latest or the slickest ways of proving them. This project is rather an attempt at describing how most functional inequalities are not…

Analysis of PDEs · Mathematics 2012-01-17 Nassif Ghoussoub , Amir Moradifam

We extend the {\lambda}-calculus with constructs suitable for relational and functional-logic programming: non-deterministic choice, fresh variable introduction, and unification of expressions. In order to be able to unify…

Programming Languages · Computer Science 2021-03-02 Pablo Barenbaum , Federico Lochbaum , Mariana Milicich

We provide a novel notion of what it means to be interpretable, looking past the usual association with human understanding. Our key insight is that interpretability is not an absolute concept and so we define it relative to a target model,…

Artificial Intelligence · Computer Science 2017-07-14 Amit Dhurandhar , Vijay Iyengar , Ronny Luss , Karthikeyan Shanmugam

We present a simple and intuitive Focus-and-eXpand (\fax) method to guide the training process of a neural network towards a specific solution. Optimizing a neural network is a highly non-convex problem. Typically, the space of solutions is…

Machine Learning · Computer Science 2020-07-16 Moab Arar , Noa Fish , Dani Daniel , Evgeny Tenetov , Ariel Shamir , Amit Bermano

This position paper suggests that progress with automatic summarising demands a better research methodology and a carefully focussed research strategy. In order to develop effective procedures it is necessary to identify and respond to the…

cmp-lg · Computer Science 2007-05-23 Karen Sparck Jones

To analyse and verify the safety and security properties of interactive systems, a formal specification might be necessary. There are many types of formal languages and frameworks. The decision regarding what type of formal specification…

Formal Languages and Automata Theory · Computer Science 2025-05-15 Maria Spichkova

Language sciences rely less and less on formal syntax as their base. The reason is probably its lack of psychological reality, knowingly avoided. Philosophers of science call for a paradigm shift in which explanations are by mechanisms, as…

Computation and Language · Computer Science 2022-05-26 Anat Ninio

In David Schmidt's PhD work he explored the use of denotational semantics as a programming language. It was part of an effort to not only treat formal semantics as specifications but also as interpreters and input to compiler generators.…

Programming Languages · Computer Science 2013-09-23 Mads Rosendahl

This paper presents a general framework for unifying functional interpretations. It is based on families of parameters allowing for different degrees of freedom on the design of the interpretation. In this way we are able to generalise…

Logic · Mathematics 2020-05-13 Bruno Dinis , Paulo Oliva

Centering theory posits a discourse center, a distinguished discourse entity that is the topic of a discourse. A simplified version of this theory is developed in a Dynamic Semantics framework. In the resulting system, the mechanism of…

cmp-lg · Computer Science 2007-05-23 Daniel Hardt

This text is meant for analysis students who want to learn more about the effects of the axiom of choice on functional analysis, and the things that may go wrong in its absence. As this is a text aimed for analysis students, we will not…

Functional Analysis · Mathematics 2020-10-30 Asaf Karagila

Functional epistemology is about ways to access functional objects by using varieties of methods and procedures. Not all such means are equally capable of reproducing these functions in the desired consistency and resolution. Dyson's…

History and Philosophy of Physics · Physics 2023-01-12 Karl Svozil