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We present an affine-intuitionistic system of types and effects which can be regarded as an extension of Barber-Plotkin Dual Intuitionistic Linear Logic to multi-threaded programs with effects. In the system, dynamically generated values…

Logic in Computer Science · Computer Science 2010-05-20 Roberto Amadio , Patrick Baillot , Antoine Madet

We present an affine-intuitionistic system of types and effects which can be regarded as an extension of Barber-Plotkin Dual Intuitionistic Linear Logic to multi-threaded programs with effects. In the system, dynamically generated values…

Logic in Computer Science · Computer Science 2009-12-03 Roberto Amadio , Patrick Baillot , Antoine Madet

Uniqueness of normal forms ($UN^=$) is an important property of term rewrite systems. $UN^=$ is decidable for ground (i.e., variable-free) systems and undecidable in general. Recently it was shown to be decidable for linear, shallow…

Logic in Computer Science · Computer Science 2016-07-05 Nicholas Radcliffe , Luis Moraes , Rakesh Verma

In this paper we address the decision problem for a fragment of set theory with restricted quantification which extends the language studied in [4] with pair related quantifiers and constructs, in view of possible applications in the field…

Logic in Computer Science · Computer Science 2012-10-10 Domenico Cantone , Cristiano Longo

Rewriting logic is naturally concurrent: several subterms of the state term can be rewritten simultaneously. But state terms are global, which makes compositionality difficult to achieve. Compositionality here means being able to decompose…

Logic in Computer Science · Computer Science 2020-01-31 Óscar Martín , Alberto Verdejo , Narciso Martí-Oliet

The apparent disconnection between the microscopic and the macroscopic is a major issue in the understanding of complex systems. To this extend, we study the convergence of repeatedly applying local rules on a network, and touch on the…

Data Structures and Algorithms · Computer Science 2020-02-11 Evangelos Kipouridis , Kostas Tsichlas

This paper is concerned with the incompressible limit of the compressible hydrodynamic flow of liquid crystals with periodic boundary conditions in R^N(N = 2, 3). It is rigorously shown that the local (and global) strong solution of the…

Analysis of PDEs · Mathematics 2014-05-06 Shijin Ding , Jinrui Huang , Huanyao Wen , Ruizhao Zi

This article is concerned with automating the decreasing diagrams technique of van Oostrom for establishing confluence of term rewrite systems. We study abstract criteria that allow to lexicographically combine labelings to show local…

Logic in Computer Science · Computer Science 2015-01-06 Harald Zankl , Bertram Felgenhauer , Aart Middeldorp

We document a connection between constraint reasoning and probabilistic reasoning. We present an algorithm, called {em probabilistic arc consistency}, which is both a generalization of a well known algorithm for arc consistency used in…

Artificial Intelligence · Computer Science 2013-01-18 Michael C. Horsch , Bill Havens

In this paper we show that the chain recurrent set of a flow of automorphisms on a connected Lie group coincides with the central subgroup of the flow, if the group is decomposable. Moreover, in the decomposable case, the flow satisfies the…

Dynamical Systems · Mathematics 2025-01-07 Adriano Da Silva , Jhon Eddy Pariapaza Mamani

We propose a generalized version of context-sensitivity in term rewriting based on the notion of "forbidden patterns". The basic idea is that a rewrite step should be forbidden if the redex to be contracted has a certain shape and appears…

Logic in Computer Science · Computer Science 2010-01-26 Bernhard Gramlich , Felix Schernhammer

Cooperative constraint solving is an area of constraint programming that studies the interaction between constraint solvers with the aim of discovering the interaction patterns that amplify the positive qualities of individual solvers.…

Artificial Intelligence · Computer Science 2007-05-23 Evgueni Petrov , Eric Monfroy

Dependency pairs are one of the most powerful techniques to analyze termination of term rewrite systems (TRSs) automatically. We adapt the dependency pair framework to the probabilistic setting in order to prove almost-sure innermost…

Logic in Computer Science · Computer Science 2023-07-20 Jan-Christoph Kassing , Jürgen Giesl

Based on methods of structural convergence we provide a unifying view of local-global convergence, fitting to model theory and analysis. The general approach outlined here provides a possibility to extend the theory of local-global…

Combinatorics · Mathematics 2018-10-18 Jaroslav Nesetril , Patrice Ossona de Mendez

In this paper we study possibilities of efficient reasoning in combinations of theories over possibly non-disjoint signatures. We first present a class of theory extensions (called local extensions) in which hierarchical reasoning is…

Logic in Computer Science · Computer Science 2008-10-16 Viorica Sofronie-Stokkermans

All current investigations to analyze the derivational complexity of term rewrite systems are based on a single termination method, possibly preceded by transformations. However, the exclusive use of direct criteria is problematic due to…

Logic in Computer Science · Computer Science 2015-07-01 Harald Zankl , Martin Korp

Reachability logic has been applied to $\mathbb{K}$ rewrite-rule-based language definitions as a language-generic logic of programs. To be able to verify not just code but also distributed system designs, a new rewrite-theory-generic…

Programming Languages · Computer Science 2017-09-18 Stephen Skeirik , Andrei Stefanescu , José Meseguer

The first part of the paper is an introduction to the theory of probabilistic concurrent systems under a partial order semantics. Key definitions and results are given and illustrated on examples. The second part includes contributions. We…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Samy Abbes

Reversible forms of computations are often interesting from an energy efficiency point of view. When the computation device in question is an automaton, it is known that the minimal reversible automaton recognizing a given language is not…

Formal Languages and Automata Theory · Computer Science 2017-08-23 Kitti Gelle , Szabolcs Iván

We introduce and investigate the expressive description logic (DL) ALCSCC++, in which the global and local cardinality constraints introduced in previous papers can be mixed. On the one hand, we prove that this does not increase the…

Logic in Computer Science · Computer Science 2020-02-17 Franz Baader , Bartosz Bednarczyk , Sebastian Rudolph