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Reconfigurable interaction induces another dimension of nondeterminism in concurrent systems which makes it hard to reason about the different choices of the system from a global perspective. Namely, (1) choices that correspond to…

Logic in Computer Science · Computer Science 2021-08-02 Yehia Abd Alrahman , Mauricio Martel , Nir Piterman

Reactive synthesis aims at automatic construction of systems from their behavioural specifications. The research mostly focuses on synthesis of systems dealing with Boolean signals. But real-life systems are often described using…

Formal Languages and Automata Theory · Computer Science 2018-09-14 Ayrat Khalimov , Benedikt Maderbacher , Roderick Bloem

Interference phenomena are often claimed to resist classical explanation. However, such claims are undermined by the fact that the specific aspects of the phenomenology upon which they are based can in fact be reproduced in a noncontextual…

Quantum Physics · Physics 2023-11-07 Lorenzo Catani , Matthew Leifer , Giovanni Scala , David Schmid , Robert W. Spekkens

Transducers extend finite state automata with outputs, and describe transformations from strings to strings. Sequential transducers, which have a deterministic behaviour regarding their input, are of particular interest. However, unlike…

Logic in Computer Science · Computer Science 2019-03-01 Pierre-Alain Reynier , Didier Villevalois

The synthesis problem asks to automatically generate, if it exists, an algorithm from a specification of correct input-output pairs. In this paper, we consider the synthesis of computable functions of infinite words, for a classical Turing…

Formal Languages and Automata Theory · Computer Science 2024-02-09 Emmanuel Filiot , Sarah Winter

We introduce a logic, called LT, to express properties of transductions, i.e. binary relations from input to output (finite) words. In LT, the input/output dependencies are modelled via an origin function which associates to any position of…

Formal Languages and Automata Theory · Computer Science 2018-05-31 Luc Dartois , Emmanuel Filiot , Nathan Lhote

We show that the following problem is undecidable: given two polygonal prototiles, determine whether the plane can be tiled with rotated and translated copies of them. This improves a result of Demaine and Langerman [SoCG 2025], who showed…

Computational Geometry · Computer Science 2025-06-16 Jack Stade

Monotonicity and recursivity are central assumptions in intertemporal consumption problems under ambiguity. We show that monotone recursive preferences admit both a recursive and an ex-ante representation, and that the certainty equivalent…

Theoretical Economics · Economics 2026-01-23 Massimo Marinacci , Giulio Principi , Lorenzo Stanca

We describe a way to represent computable functions between coinductive types as particular transducers in type theory. This generalizes earlier work on functions between streams by P. Hancock to a much richer class of coinductive types.…

Logic in Computer Science · Computer Science 2023-06-22 Pierre Hyvernat

We study the problem of channel resolvability for fixed i.i.d. input distributions and discrete memoryless channels (DMCs), and derive the strong converse theorem for any DMCs that are not necessarily full rank. We also derive the optimal…

Information Theory · Computer Science 2014-04-23 Shun Watanabe , Masahito Hayashi

The problem of exactly differentiating a signal with bounded second derivative is considered. A class of differentiators is proposed, which converge to the derivative of such a signal within a fixed, i.e., a finite and uniformly bounded…

Systems and Control · Electrical Eng. & Systems 2021-09-10 Richard Seeber , Hernan Haimovich , Martin Horn , Leonid Fridman , Hernán De Battista

The aim of this article is to generalize logics of formal inconsistency ($\textbf{LFI}$s) to systems dealing with the concept of incompatibility, expressed by means of a binary connective. The basic idea is that having two incompatible…

Logic · Mathematics 2022-02-23 Marcelo Esteban Coniglio , Guilherme Vicentin de Toledo

The theory of noninterference supports the analysis of secure computations in multi-level security systems. Classical equivalence-based approaches to noninterference mainly rely on bisimilarity. In a nondeterministic setting, assessing…

Cryptography and Security · Computer Science 2026-05-05 Andrea Esposito , Alessandro Aldini , Marco Bernardo

An important question in dynamical systems is the classification problem, i.e., the ability to distinguish between two isomorphic systems. In this work, we study the topological factors between a family of multidimensional substitutive…

Dynamical Systems · Mathematics 2025-06-11 Christopher Cabezas , Julien Leroy

We consider first-order logics of sequences ordered by the subsequence ordering, aka sequence embedding. We show that the \Sigma_2 theory is undecidable, answering a question left open by Kuske. Regarding fragments with a bounded number of…

Logic in Computer Science · Computer Science 2016-07-07 Prateek Karandikar , Philippe Schnoebelen

Retrosynthesis prediction is one of the fundamental challenges in organic synthesis. The task is to predict the reactants given a core product. With the advancement of machine learning, computer-aided synthesis planning has gained…

Chemical Physics · Physics 2022-02-01 Yue Wan , Benben Liao , Chang-Yu Hsieh , Shengyu Zhang

We prove that functionality of compositions of top-down tree transducers is decidable by reducing the problem to the functionality of one top-down tree transducer with look-ahead.

Formal Languages and Automata Theory · Computer Science 2022-09-05 Sebastian Maneth , Helmut Seidl , Martin Vu

Given two independent point processes and a certain rule for matching points between them, what is the fraction of matched points over infinitely long streams? In many application contexts, e.g., secure networking, a meaningful matching…

Information Theory · Computer Science 2016-11-17 Stefano Marano , Vincenzo Matta , Ting He , Lang Tong

We study the finite satisfiability problem for the two-variable fragment of first-order logic extended with counting quantifiers (C2) and interpreted over linearly ordered structures. We show that the problem is undecidable in the case of…

Logic in Computer Science · Computer Science 2019-03-14 Witold Charatonik , Piotr Witkowski

Classical evaluations of configurations of intertwined quantum contexts induce relations, such as true-implies-false, true-implies-true, but also nonseparability among the input and output terminals. When combined, these exploitable…

Quantum Physics · Physics 2020-05-14 Karl Svozil
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