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Conditional copulas are flexible statistical tools that couple joint conditional and marginal conditional distributions. In a linear regression setting with more than one covariate and two dependent outcomes, we propose the use of additive…

Methodology · Statistics 2014-07-31 Avideh Sabeti , Mian Wei , Radu V. Craiu

We propose a modal study of the notion of bisimulation. Our contribution is threefold. First, we extend the basic modal language with a new modality $\nbi$, whose intended meaning is universal quantification over all states that are…

Logic in Computer Science · Computer Science 2026-04-14 Alfredo Burrieza , Fernando Soler-Toscano , Antonio Yuste-Ginel

Self-similarity is the property of a system being similar to a part of itself. We posit that a special class of behaviourally self-similar systems exhibits a degree of resilience to adversarial behaviour. We formalise the notions of system,…

Programming Languages · Computer Science 2016-08-11 Sanjiva Prasad , Lenore D. Zuck

Constructor-Based Conditional Rewriting Logic is a general framework for integrating first-order functional and logic programming which gives an algebraic semantics for non-deterministic functional-logic programs. In the context of this…

Logic in Computer Science · Computer Science 2007-05-23 Juan M. Molina , Ernesto Pimentel

To develop a full abstract denotational model of a process language based on prebisimulation preorder, its behavioural semantics has two problems: (1) Two processes related by a standard denotational interpretation afford the same finite…

Logic in Computer Science · Computer Science 2026-05-11 Yong Wang

Reaction systems are a formal model that has been introduced to investigate the interactive behaviors of biochemical reactions. Based on the formal framework of reaction systems, we propose new computing models called reaction automata that…

Formal Languages and Automata Theory · Computer Science 2011-11-29 Fumiya Okubo , Satoshi Kobayashi , Takashi Yokomori

Reaction Systems (RSs) are a successful computational framework inspired by biological systems. A RS pairs a set of entities with a set of reactions over them. Entities can be used to enable or inhibit each reaction, and are produced by…

Logic in Computer Science · Computer Science 2020-09-01 Linda Brodo , Roberto Bruni , Moreno Falaschi

Conditionals are useful for modelling, but are not always sufficiently expressive for capturing information accurately. In this paper we make the case for a form of conditional that is situation-based. These conditionals are more expressive…

Artificial Intelligence · Computer Science 2023-04-18 Giovanni Casini , Thomas Meyer , Ivan Varzinczak

Conditional term rewriting is an intuitive yet complex extension of term rewriting. In order to benefit from the simpler framework of unconditional rewriting, transformations have been defined to eliminate the conditions of conditional term…

Logic in Computer Science · Computer Science 2017-01-04 Karl Gmeiner

We present sound and complete environmental bisimilarities for a variant of Dybvig et al.'s calculus of multi-prompted delimited-control operators with dynamic prompt generation. The reasoning principles that we obtain generalize and…

Programming Languages · Computer Science 2023-06-22 Andrés Aristizábal , Dariusz Biernacki , Sergueï Lenglet , Piotr Polesiuk

Behavioural equivalences can be characterized via bisimulation, modal logics, and spoiler-duplicator games. In this paper we work in the general setting of coalgebra and focus on generic algorithms for computing the winning strategies of…

Logic in Computer Science · Computer Science 2020-10-15 Barbara König , Christina Mika-Michalski , Lutz Schröder

While distributed systems with transfer of processes have become pervasive, methods for reasoning about their behaviour are underdeveloped. In this paper we propose a bisimulation technique for proving behavioural equivalence of such…

Logic in Computer Science · Computer Science 2011-05-09 Adrien Piérard , Eijiro Sumii

Establishing equivalences between programs or systems is crucial both for verifying correctness of programs, by establishing that two implementations are equivalent, and for justifying optimisations and program transformations, by…

Logic in Computer Science · Computer Science 2021-10-25 Rabéa Ameur-Boulifa , Ludovic Henrio , Eric Madelaine

The compactness lemma in programming language theory states that any recursive function can be simulated by a finite unrolling of the function. One important use case it has is in the logical relations proof technique for proving properties…

Programming Languages · Computer Science 2024-05-06 Matias Scharager

Reversible systems exhibit both forward computations and backward computations, where the aim of the latter is to undo the effects of the former. Such systems can be compared via forward-reverse bisimilarity as well as its two components,…

Logic in Computer Science · Computer Science 2024-11-25 Marco Bernardo , Andrea Esposito , Claudio A. Mezzina

Models that can simulate how environments change in response to actions can be used by agents to plan and act efficiently. We improve on previous environment simulators from high-dimensional pixel observations by introducing recurrent…

Artificial Intelligence · Computer Science 2017-04-20 Silvia Chiappa , Sébastien Racaniere , Daan Wierstra , Shakir Mohamed

We present a comprehensive study of the behavioral theory of an untyped $\lambda$-calculus extended with the delimited-control operators shift and reset. To that end, we define a contextual equivalence for this calculus, that we then aim to…

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

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 novel approach to secure compilation based on maps of distributive laws. We demonstrate through four examples that the coherence criterion for maps of distributive laws can potentially be a viable alternative for compiler…

Programming Languages · Computer Science 2020-04-22 Stelios Tsampas , Andreas Nuyts , Dominique Devriese , Frank Piessens

A rewriting system is a set of equations over a given set of terms called rules that characterize a system of computation and is a powerful general method for providing decision procedures of equational theories, based upon the principle of…

Combinatorics · Mathematics 2007-05-23 A. Heyworth , M. Johnson