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This paper proposes a connection method \`a la Bibel for an exception-tolerant family of description logics (DLs). As for the language, we assume the DL $\mathcal{ALCH}$ extended with two typicality operators: one on (complex) concepts and…

Logic in Computer Science · Computer Science 2023-06-23 Renan Fernandes , Fred Freitas , Ivan Varzinczak , Pedro PM Farias

As automated decision-making solutions are increasingly applied to all aspects of everyday life, capabilities to generate meaningful explanations for a variety of stakeholders (i.e., decision-makers, recipients of decisions, auditors,…

Artificial Intelligence · Computer Science 2024-11-15 Niko Tsakalakis , Sophie Stalla-Bourdillon , Trung Dong Huynh , Luc Moreau

Drossopoulou and Noble argue persuasively for the need for a means to express policy in object-capability-based systems. We investigate a practical means to realize their aim via the Curry-Howard isomorphism. Specifically, we investigate…

Cryptography and Security · Computer Science 2013-08-01 Lucius G Meredith , Mike Stay , Sophia Drossopoulou

We consider the equation $$ ab + cd = \lambda, \qquad a\in A, b \in B, c\in C, d \in D, $$ over a finite field $F_q$ of $q$ elements, with variables from arbitrary sets $ A, B, C, D \subseteq F_q$. The question of solvability of such and…

Number Theory · Mathematics 2007-09-16 Igor E. Shparlinski

We introduce a new tool for predicting the evolution of an option for the cases where at some specific time, there is a high-degree of uncertainty for identifying its price. We work over the special case where we can predict the evolution…

Pricing of Securities · Quantitative Finance 2019-05-16 Ivan Arraut , Alan Au , Alan Ching-biu Tse , Carlos Segovia

Contextual type theory distinguishes between bound variables and meta-variables to write potentially incomplete terms in the presence of binders. It has found good use as a framework for concise explanations of higher-order unification,…

Logic in Computer Science · Computer Science 2011-11-02 Mathieu Boespflug , Brigitte Pientka

It is well known that the reachability problem for simply-typed lambda calculus with recursive definitions and finite base-type values (finitary PCF) is decidable. A recent paper by Dal Lago and Ghyselen has shown that the same problem…

Logic in Computer Science · Computer Science 2025-08-21 Ryunosuke Endo , Tachio Terauchi

Session types have emerged as a typing discipline for communication protocols. Existing calculi with session types come equipped with many different primitives that combine communication with the introduction or elimination of the…

Programming Languages · Computer Science 2019-11-12 Peter Thiemann , Vasco T. Vasconcelos

We describe a type system for the linear-algebraic lambda-calculus. The type system accounts for the part of the language emulating linear operators and vectors, i.e. it is able to statically describe the linear combinations of terms…

Logic in Computer Science · Computer Science 2012-08-01 Pablo Arrighi , Alejandro Díaz-Caro , Benoît Valiron

Name-passing calculi are foundational models for mobile computing. Research into these models has produced a wealth of results ranging from relative expressiveness to programming pragmatics. The diversity of these results call for…

Logic in Computer Science · Computer Science 2015-08-04 Yuxi Fu , Han Zhu

Pattern-matching programming is an example of a rule-based programming style developed in functional languages. This programming style is intensively used in dialects of ML but is restricted to algebraic data-types. This restriction limits…

Programming Languages · Computer Science 2009-12-25 Julien Cohen

Some multi-agent scenarios call for the possibility of evaluating specifications in a richer domain of truth values. Examples include runtime monitoring of a temporal property over a growing prefix of an infinite path, inconsistency…

Multiagent Systems · Computer Science 2023-11-01 Wojciech Jamroga , Beata Konikowska , Damian Kurpiewski , Wojciech Penczek

Type-level programming is an increasingly popular way to obtain additional type safety. Unfortunately, it remains a second-class citizen in the majority of industrially-used programming languages. We propose a new dependently-typed system…

Programming Languages · Computer Science 2020-11-17 Georg Stefan Schmid , Olivier Blanvillain , Jad Hamza , Viktor Kunčak

We propose the concept of adaptable processes as a way of overcoming the limitations that process calculi have for describing patterns of dynamic process evolution. Such patterns rely on direct ways of controlling the behavior and location…

Logic in Computer Science · Computer Science 2015-07-01 Mario Bravetti , Cinzia Di Giusto , Jorge A Perez , Gianluigi Zavattaro

Bilinear systems of equations are defined, motivated and analyzed for solvability. Elementary structure is mentioned and it is shown that all solutions may be obtained as rank one completions of a linear matrix polynomial derived from…

Rings and Algebras · Mathematics 2013-03-21 Charles R. Johnson , Helena Šmigoc , Dian Yang

In the literature two notions of the word problem for a variety occur. A variety has a decidable word problem if every finitely presented algebra in the variety has a decidable word problem. It has a uniformly decidable word problem if…

Logic · Mathematics 2016-09-06 Alan H. Mekler , Evelyn Nelson , Saharon Shelah

Safety is a syntactic condition of higher-order grammars that constrains occurrences of variables in the production rules according to their type-theoretic order. In this paper, we introduce the safe lambda calculus, which is obtained by…

Programming Languages · Computer Science 2015-07-01 William Blum , C. -H. Luke Ong

This paper deals with some classes of Kirchhoff type problems on a double phase setting and with nonlinear boundary conditions. Under general assumptions, we provide multiplicity results for such problems in the case when the perturbations…

Analysis of PDEs · Mathematics 2021-12-16 Alessio Fiscella , Greta Marino , Andrea Pinamonti , Simone Verzellesi

We present a new approach to termination analysis of logic programs. The essence of the approach is that we make use of general term-orderings (instead of level mappings), like it is done in transformational approaches to logic program…

Programming Languages · Computer Science 2007-05-23 Alexander Serebrenik , Danny De Schreye

Since Val Tannen's pioneer work on the combination of simply-typed lambda-calculus and first-order rewriting (LICS'88), many authors have contributed to this subject by extending it to richer typed lambda-calculi and rewriting paradigms,…

Logic in Computer Science · Computer Science 2016-08-16 Frédéric Blanqui
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