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Logical relations built on top of an operational semantics are one of the most successful proof methods in programming language semantics. In recent years, more and more expressive notions of operationally-based logical relations have been…

Logic in Computer Science · Computer Science 2024-08-07 Francesco Dagnino , Francesco Gavazzo

We analyze the periodicity of optimal long products of matrices. A set of matrices is said to have the finiteness property if the maximal rate of growth of long products of matrices taken from the set can be obtained by a periodic product.…

Dynamical Systems · Mathematics 2007-05-23 Raphael M. Jungers , Vincent D. Blondel

Determining functionals are tools to describe the finite dimensional long-term dynamics of infinite dimensional dynamical systems. There also exist several applications to infinite dimensional {\em random} dynamical systems. In these…

Dynamical Systems · Mathematics 2016-08-16 Igor Chueshov , Jinqiao Duan , Björn Schmalfuß

The self consistent version of the density functional theory (DFT) is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems such as atoms, molecules and clusters. The exact functional…

Condensed Matter · Physics 2007-05-23 M. Ya. Amusia , V. R. Shaginyan

Program equivalence is the fulcrum for reasoning about and proving properties of programs. For noninterference, for example, program equivalence up to the secrecy level of an observer is shown. A powerful enabler for such proofs are logical…

Programming Languages · Computer Science 2026-04-15 Stephanie Balzer , Farzaneh Derakhshan , Robert Harper , Yue Yao

We characterize pairs of rational functions $A$, $B$ such that $A$ is semiconjugate to $B$, and $B$ is semiconjugate to $A$.

Dynamical Systems · Mathematics 2019-09-25 Fedor Pakovich

We address the problem of conditional termination, which is that of defining the set of initial configurations from which a given program always terminates. First we define the dual set, of initial configurations from which a…

Logic in Computer Science · Computer Science 2015-07-01 Radu Iosif , Filip Konecny , Marius Bozga

In this paper we consider the class of truth-functional many-valued logics with a finite set of truth-values. The main result of this paper is the development of a new \emph{binary} sequent calculi (each sequent is a pair of formulae) for…

Logic in Computer Science · Computer Science 2011-03-08 Zoran Majkic

We present a method for relevance sensitive non-monotonic inference from belief sequences which incorporates insights pertaining to prioritized inference and relevance sensitive, inconsistency tolerant belief revision. Our model uses a…

Artificial Intelligence · Computer Science 2016-08-31 Samir Chopra , Konstantinos Georgatos , Rohit Parikh

We consider the transfer functions describing the input-output relation for a class of linear open quantum systems involving feedback with nonzero time delays. We show how such transfer functions can be factorized into a product of terms…

Quantum Physics · Physics 2018-04-10 Gil Tabak , Ryan Hamerly , Hideo Mabuchi

Pippenger's Galois theory of finite functions and relational constraints is extended to the infinite case. The functions involved are functions of several variables on a set $A$ and taking values in a possibly different set $B$, where any…

Logic · Mathematics 2015-08-10 Miguel Couceiro , Stephan Foldes

The space of constructible functions form a dense subspace of the space of generalized valuations. In this note we prove a somewhat stronger property that the sequential closure, taken sufficiently many (in fact, infinitely many) times, of…

Metric Geometry · Mathematics 2015-06-16 Semyon Alesker

We investigate the representation theory of finite sets. The correspondence functors are the functors from the category of finite sets and correspondences to the category of k-modules, where k is a commutative ring. They have various…

Representation Theory · Mathematics 2019-02-15 Serge Bouc , Jacques Thévenaz

In this paper, the definition of fuzzy rough relation on a set will be introduced and then it would be proved that the collection of such relations is closed under different binary compositions such as, algebraic sum, algebraic product etc.…

General Mathematics · Mathematics 2011-09-09 T. K. Samanta , Biswajit Sarkar

Multisequences over finite fields play a pushing role in the applications that relate to parallelization, such as word-based stream ciphers and pseudorandom vector generation. It is interesting to study the complexity measures for…

Information Theory · Computer Science 2020-01-30 Yang Yan , Qiuyan Wang , Chenhuang Wu

Functional dependencies restrict the potential interactions among variables connected in a probabilistic network. This restriction can be exploited in qualitative probabilistic reasoning by introducing deterministic variables and modifying…

Artificial Intelligence · Computer Science 2013-04-05 Michael P. Wellman

Different semantic interpretation tasks such as text entailment and question answering require the classification of semantic relations between terms or entities within text. However, in most cases it is not possible to assign a direct…

Computation and Language · Computer Science 2018-05-18 Siamak Barzegar , Andre Freitas , Siegfried Handschuh , Brian Davis

Online trading invariably involves dealings between strangers, so it is important for one party to be able to judge objectively the trustworthiness of the other. In such a setting, the decision to trust a user may sensibly be based on that…

Logic in Computer Science · Computer Science 2015-05-13 Andreas Bauer , Rajeev Gore , Alwen Tiu

Discourse relations bind smaller linguistic elements into coherent texts. However, automatically identifying discourse relations is difficult, because it requires understanding the semantics of the linked sentences. A more subtle challenge…

Computation and Language · Computer Science 2015-04-29 Yangfeng Ji , Jacob Eisenstein

The downward closure of a word language is the set of all (not necessarily contiguous) subwords of its members. It is well-known that the downward closure of any language is regular. While the downward closure appears to be a powerful…

Formal Languages and Automata Theory · Computer Science 2015-06-02 Georg Zetzsche