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This paper develops an operational semantics for a release-acquire fragment of the C11 memory model with relaxed accesses. We show that the semantics is both sound and complete with respect to the axiomatic model. The semantics relies on a…

Programming Languages · Computer Science 2018-11-26 Simon Doherty , Brijesh Dongol , Heike Wehrheim , John Derrick

We present a static deadlock analysis approach for C/pthreads. The design of our method has been guided by the requirement to analyse real-world code. Our approach is sound (i.e., misses no deadlocks) for programs that have defined…

Programming Languages · Computer Science 2016-07-26 Daniel Kroening , Daniel Poetzl , Peter Schrammel , Björn Wachter

We show how to use Groebner bases for operads to prove various freeness theorems: freeness of certain operads as nonsymmetric operads, freeness of an operad Q as a P-module for an inclusion P into Q, freeness of a suboperad. This gives new…

Rings and Algebras · Mathematics 2010-01-20 Vladimir Dotsenko

We exhibit a uniform method for obtaining (wellfounded and non-wellfounded) cut-free sequent-style proof systems that are sound and complete for various classes of action algebras, i.e., Kleene algebras enriched with meets and residuals.…

Logic in Computer Science · Computer Science 2025-01-31 Wesley Fussner , Simon Santschi , Borja Sierra Miranda

We will establish in this note a stability result for sparse convolutions on torsion-free additive (discrete) abelian groups. Sparse convolutions on torsion-free groups are free of cancellations and hence admit stability, i.e. injectivity…

Discrete Mathematics · Computer Science 2014-04-09 Philipp Walk , Peter Jung

The paper provides a tableau approach to definite descriptions. We focus on several formalizations of the so-called minimal free description theory (MFD) usually formulated axiomatically in the setting of free logic. We consider five…

Logic in Computer Science · Computer Science 2021-07-16 Andrzej Indrzejczak , Michał Zawidzki

Conditions are given which imply that certain non-autonomous analytic iterated function systems (NIFS's) in the complex plane C have uniformly perfect attractor sets. Examples are given to illustrate the main theorem, as well as to indicate…

Complex Variables · Mathematics 2021-01-28 Kurt Falk , Rich Stankewitz

An algebraic notion of representational consistency is defined. A theorem relating it to free actions is proved. A metrizability problem of the quotient (a shape space) is discussed. This leads to a new algebraic variety with a…

Algebraic Geometry · Mathematics 2009-03-18 Burzin Bhavnagri

The notion of integrability is discussed for classical nonautonomous systems with one degree of freedom. The analysis is focused on models which are linearly spanned by finite Lie algebras. By constructing the autonomous extension of the…

Quantum Physics · Physics 2012-01-20 R. M. Angelo , E. I. Duzzioni , A. D. Ribeiro

In line with advances in recent years about realizing cryptographic functionalities in an information-theoretically secure way from physical phenomena and laws, we propose here to obtain useful tasks from the sole assumption of limited free…

Quantum Physics · Physics 2022-10-25 Xavier Coiteux-Roy , Stefan Wolf

Motivation: Alignment-free (AF) distance/similarity functions are a key tool for sequence analysis. Experimental studies on real datasets abound and, to some extent, there are also studies regarding their control of false positive rate…

We introduce a modal logic FIL for Feferman interpretability. In this logic both the provability modality and the interpretability modality can come with a label. This label indicates that in the arithmetical interpretation the axiom set of…

Logic · Mathematics 2024-06-27 Joost J. Joosten , Luka Mikec , Albert Visser

Asymptotic properties of finitely generated subgroups of free groups, and of finite group presentations, can be considered in several fashions, depending on the way these objects are represented and on the distribution assumed on these…

Group Theory · Mathematics 2018-04-25 Frédérique Bassino , Cyril Nicaud , Pascal Weil

This paper proposes a framework to assess the stability of an ordinary differential equation which is coupled to a 1D-partial differential equation (PDE). The stability theorem is based on a new result on Integral Quadratic Constraints…

Optimization and Control · Mathematics 2026-03-03 Matthieu Barreau , Carsten W. Scherer , Frederic Gouaisbaut , Alexandre Seuret

We propose a general proof technique to show that a predicate is sound, that is, prevents stuck computation, with respect to a big-step semantics. This result may look surprising, since in big-step semantics there is no difference between…

Programming Languages · Computer Science 2020-03-26 Francesco Dagnino , Viviana Bono , Elena Zucca , Mariangiola Dezani-Ciancaglini

One of the most prominent tools for abstract argumentation is the Dung's framework, AF for short. It is accompanied by a variety of semantics including grounded, complete, preferred and stable. Although powerful, AFs have their…

Artificial Intelligence · Computer Science 2014-05-05 Sylwia Polberg

Using the framework of boosting, we prove that all impurity-based decision tree learning algorithms, including the classic ID3, C4.5, and CART, are highly noise tolerant. Our guarantees hold under the strongest noise model of nasty noise,…

Machine Learning · Computer Science 2022-06-20 Guy Blanc , Jane Lange , Ali Malik , Li-Yang Tan

We develop an information-theoretic framework for discrete dynamics grounded in a comparison-cost functional on ratios. Given two quantities compared via their ratio \(x=a/b\), we assign a cost \(F(x)\) measuring deviation from equilibrium…

Information Theory · Computer Science 2026-01-21 Sebastian Pardo-Guerra , Megan Simons , Anil Thapa , Jonathan Washburn

We study abstraction for crash-resilient concurrent objects using non-volatile memory (NVM). We develop a library correctness criterion that is sound for ensuring contextual refinement in this setting, thus allowing clients to reason about…

Programming Languages · Computer Science 2022-01-31 Artem Khyzha , Ori Lahav

An interesting question is to characterize the general class of allowed boundary conditions for gauge theories, including gravity, at spatial and null infinity. This has played a role in discussions of soft charges, where antipodal symmetry…

High Energy Physics - Theory · Physics 2020-01-08 Steven B. Giddings