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We consider two characterisations of the may and must testing preorders for a probabilistic extension of the finite pi-calculus: one based on notions of probabilistic weak simulations, and the other on a probabilistic extension of a…

Logic in Computer Science · Computer Science 2012-01-12 Yuxing Deng , Alwen Tiu

The ability of language models to learn a task from a few examples in context has generated substantial interest. Here, we provide a perspective that situates this type of supervised few-shot learning within a much broader spectrum of…

Computation and Language · Computer Science 2025-06-06 Andrew Kyle Lampinen , Stephanie C. Y. Chan , Aaditya K. Singh , Murray Shanahan

We introduce a contextual quantum system comprising mutually complementary observables organized into two or more collections of pseudocontexts with the same probability sums of outcomes. These pseudocontexts constitute non-orthogonal bases…

Quantum Physics · Physics 2024-04-05 Mirko Navara , Karl Svozil

The Business Process Modeling Notation (BPMN) is a widely used standard notation for defining intra- and inter-organizational workflows. However, the informal description of the BPMN execution semantics leads to different interpretations of…

Software Engineering · Computer Science 2024-10-09 Tim Kräuter , Adrian Rutle , Harald König , Yngve Lamo

We present a denotational semantics for higher-order probabilistic programs in terms of linear operators between Banach spaces. Our semantics is rooted in the classical theory of Banach spaces and their tensor products, but bears…

Logic in Computer Science · Computer Science 2019-03-01 Fredrik Dahlqvist , Dexter Kozen

Higher-order networks are widely used to describe complex systems in which interactions can involve more than two entities at once. In this paper, we focus on inclusion within higher-order networks, referring to situations where specific…

Physics and Society · Physics 2025-07-22 Nicholas W. Landry , Jean-Gabriel Young , Nicole Eikmeier

We introduce contextual behavioural metrics (CBMs) as a novel way of measuring the discrepancy in behaviour between processes, taking into account both quantitative aspects and contextual information. This way, process distances by…

Formal Languages and Automata Theory · Computer Science 2023-09-06 Ugo Dal Lago , Maurizio Murgia

Several notions of bisimulation relations for probabilistic non-deterministic transition systems have been considered in the literature. We consider a novel testing-based behavioral equivalence called upper-expectation bisimilarity and…

Logic in Computer Science · Computer Science 2013-10-03 Matteo Mio

We establish sufficient conditions for perfect simulation of chains of infinite order on a countable alphabet. The new assumption, localized continuity, is formalized with the help of the notion of context trees, and includes the…

Probability · Mathematics 2013-01-18 Sandro Gallo , Nancy L. Garcia

A decidability proof for bisimulation equivalence of first-order grammars is given. It is an alternative proof for a result by S\'enizergues (1998, 2005) that subsumes his affirmative solution of the famous decidability question for…

Logic in Computer Science · Computer Science 2020-08-18 Petr Jancar

When analyzing real-world data it is common to work with event ensembles, which comprise sets of observations that collectively constrain the parameters of an underlying model of interest. Such models often have a hierarchical structure,…

Machine Learning · Statistics 2024-02-22 Lukas Heinrich , Siddharth Mishra-Sharma , Chris Pollard , Philipp Windischhofer

Recent authors have proposed analyzing conditional reasoning through a notion of intervention on a simulation program, and have found a sound and complete axiomatization of the logic of conditionals in this setting. Here we extend this…

Artificial Intelligence · Computer Science 2018-07-31 Duligur Ibeling

We introduce a way to represent word pairs instantiating arbitrary semantic relations that keeps track of the contexts in which the words in the pair occur both together and independently. The resulting features are of sufficient generality…

Computation and Language · Computer Science 2009-02-16 Amaç Herdağdelen , Marco Baroni

We present a novel task that measures how people generalize objects' causal powers based on observing a single (Experiment 1) or a few (Experiment 2) causal interactions between object pairs. We propose a computational modeling framework…

Artificial Intelligence · Computer Science 2021-11-25 Bonan Zhao , Christopher G. Lucas , Neil R. Bramley

We propose a new approach to simulate hypothetical physics processes which are defined by multiple free parameters. Compared to the conventional grid-scan approach, the new method can produce accurate estimations of the detector acceptance…

High Energy Physics - Experiment · Physics 2012-06-01 Jiahang Zhong , Run-Sheng Huang , Shih-Chang Lee

We present an approach for representing abstract argumentation frameworks based on an encoding into classical higher-order logic. This provides a uniform framework for computer-assisted assessment of abstract argumentation frameworks using…

Artificial Intelligence · Computer Science 2021-10-19 Alexander Steen , David Fuenmayor

Coinductive reasoning about infinitary structures such as streams is widely applicable. However, practical frameworks for developing coinductive proofs and finding reasoning principles that help structure such proofs remain a challenge,…

Programming Languages · Computer Science 2020-01-13 Yannick Zakowski , Paul He , Chung-Kil Hur , Steve Zdancewic

We consider a class of systems over finite alphabets, namely discrete-time systems with linear dynamics and a finite input alphabet. We formulate a notion of finite uniform bisimulation, and motivate and propose a notion of regular finite…

Optimization and Control · Mathematics 2015-10-15 Donglei Fan , Danielle C. Tarraf

Linearity and ramification constraints have been widely used to weaken higher-order (primitive) recursion in such a way that the class of representable functions equals the class of polytime functions. We show that fine-tuning these two…

Logic in Computer Science · Computer Science 2009-09-29 U. Dal Lago

Normal-form bisimilarity is a simple, easy-to-use behavioral equivalence that relates terms in $\lambda$-calculi by decomposing their normal forms into bisimilar subterms. Moreover, it typically allows for powerful up-to techniques, such as…

Logic in Computer Science · Computer Science 2023-06-22 Dariusz Biernacki , Serguei Lenglet , Piotr Polesiuk