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Real-world sequential decision-making often involves parameterized action spaces that require both, decisions regarding discrete actions and decisions about continuous action parameters governing how an action is executed. Existing…

Artificial Intelligence · Computer Science 2026-04-27 Rashmeet Kaur Nayyar , Naman Shah , Siddharth Srivastava

We propose trace abstraction modulo probability, a proof technique for verifying high-probability accuracy guarantees of probabilistic programs. Our proofs overapproximate the set of program traces using failure automata, finite-state…

Programming Languages · Computer Science 2018-10-31 Calvin Smith , Justin Hsu , Aws Albarghouthi

In the last decades, several objects such as grammars, economical agents, laws of physics... have been defined as algorithms. In particular, after Brouwer, Heyting, and Kolomogorov, mathematical proofs have been defined as algorithms. In…

Logic in Computer Science · Computer Science 2023-06-02 Gilles Dowek

The unrivaled robustness of topologically ordered states of matter against perturbations has immediate applications in quantum computing and quantum metrology, yet their very existence poses a challenge to our understanding of phase…

Strongly Correlated Electrons · Physics 2022-09-27 Amit Jamadagni , Hendrik Weimer

The present work is dedicated to searching parameters, alternative to entropy, applicable for description of highly organized systems. The general concept has been offered, in which the system complexity and order are functions of the order…

Information Theory · Computer Science 2010-09-03 V. I. Ilyevsky

We show that both information erasure process and trace process can be realized by projective measurement. And a partial trace operation consists to a projective measurement on a subsystem. We show that a nonunitary operation will destroy…

Quantum Physics · Physics 2007-05-23 Qing-Yu Cai

We introduce operational semantics into games. And based on the operational semantics, we establish a full algebra of games, including basic algebra of games, algebra of concurrent games, recursion and abstraction. The algebra can be used…

Logic in Computer Science · Computer Science 2019-09-04 Yong Wang

Using appropriate notation systems for proofs, cut-reduction can often be rendered feasible on these notations, and explicit bounds can be given. Developing a suitable notation system for Bounded Arithmetic, and applying these bounds, all…

Logic in Computer Science · Computer Science 2007-12-11 Klaus Aehlig , Arnold Beckmann

This paper studies trace-based equivalences for systems combining nondeterministic and probabilistic choices. We show how trace semantics for such processes can be recovered by instantiating a coalgebraic construction known as the…

Logic in Computer Science · Computer Science 2023-06-22 Filippo Bonchi , Ana Sokolova , Valeria Vignudelli

Programmers often use an iterative process of hypothesis generation ("perhaps this function is called twice?") and hypothesis testing ("let's count how many times this breakpoint fires") to understand the behavior of unfamiliar or…

Programming Languages · Computer Science 2026-04-14 Shardul Chiplunkar , Clément Pit-Claudel

Trace slicing is a widely used technique for execution trace analysis that is effectively used in program debugging, analysis and comprehension. In this paper, we present a backward trace slicing technique that can be used for the analysis…

Logic in Computer Science · Computer Science 2011-06-07 María Alpuente , Demis Ballis , Javier Espert , Daniel Romero

There are many techniques and tools for termination of C programs, but up to now they were not very powerful for termination proofs of programs whose termination depends on recursive data structures like lists. We present the first approach…

Logic in Computer Science · Computer Science 2023-07-21 Jera Hensel , Jürgen Giesl

The Heard-Of model is a simple and relatively expressive model of distributed computation. Because of this, it has gained a considerable attention of the verification community. We give a characterization of all algorithms solving consensus…

Logic in Computer Science · Computer Science 2020-04-22 A. R. Balasubramanian , Igor Walukiewicz

Functionals are an important research subject in Mathematics and Computer Science as well as a challenge in Information Technologies where the current programming paradigm states that only symbolic computations are possible on higher order…

Logic · Mathematics 2018-09-13 Stanislaw Ambroszkiewicz

The notion of abstract Boehm tree has arisen as an operationally-oriented distillation of works on game semantics, and has been investigated in two papers. This paper revisits the notion, providing more syntactic support and more examples…

Logic in Computer Science · Computer Science 2007-06-19 Pierre-Louis Curien , Hugo Herbelin

In this paper, we establish the foundations of a novel logical framework for the {\pi}-calculus, based on the deduction-as-computation paradigm. Following the standard proof-theoretic interpretation of logic programming, we represent…

Logic in Computer Science · Computer Science 2025-01-17 Matteo Acclavio , Giulia Manara

We present new proofs of termination of evaluation in reduction semantics (i.e., a small-step operational semantics with explicit representation of evaluation contexts) for System F with control operators. We introduce a modified version of…

Programming Languages · Computer Science 2013-09-06 Małgorzata Biernacka , Dariusz Biernacki , Sergueï Lenglet , Marek Materzok

The network inference problem consists of reconstructing the edge set of a network given traces representing the chronology of infection times as epidemics spread through the network. This problem is a paradigmatic representative of…

Data Structures and Algorithms · Computer Science 2013-08-14 Bruno Abrahao , Flavio Chierichetti , Robert Kleinberg , Alessandro Panconesi

The starting point of this paper is a collection of properties of an algorithm that have been distilled from the informal descriptions of what an algorithm is that are given in standard works from the mathematical and computer science…

Computational Complexity · Computer Science 2024-09-05 C. A. Middelburg

Instruction sequence is a key concept in practice, but it has as yet not come prominently into the picture in theoretical circles. This paper concerns instruction sequences, the behaviours produced by them under execution, the interaction…

Logic in Computer Science · Computer Science 2012-05-07 J. A. Bergstra , C. A. Middelburg
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