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A symmetric monoidal category naturally arises as the mathematical structure that organizes physical systems, processes, and composition thereof, both sequentially and in parallel. This structure admits a purely graphical calculus. This…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Bob Coecke , Raymond Lal

Essentially, in a reversible programming language, for each forward computation from state $S$ to state $S'$, there exists a constructive method to go backwards from state $S'$ to state $S$. Besides its theoretical interest, reversible…

Programming Languages · Computer Science 2017-10-10 Naoki Nishida , Adrián Palacios , Germán Vidal

This paper presents a study of causality in a reversible, concurrent setting. There exist various notions of causality in pi-calculus, which differ in the treatment of parallel extrusions of the same name. In this paper we present a uniform…

Logic in Computer Science · Computer Science 2018-08-01 Doriana Medic , Claudio Antares Mezzina , Iain Phillips , Nobuko Yoshida

This review article provides an overview of recent work in the modeling and analysis of recurrent events arising in engineering, reliability, public health, biomedicine and other areas. Recurrent event modeling possesses unique facets…

Methodology · Statistics 2007-08-03 Edsel A. Peña

Event Structures (ESs) address the representation of direct relationships between individual events, usually capturing the notions of causality and conflict. Up to now, such relationships have been static, i.e., they cannot change during a…

Logic in Computer Science · Computer Science 2023-06-22 Youssef Arbach , David S. Karcher , Kirstin Peters , Uwe Nestmann

Different types of reasoning impose different structural demands on representational systems, yet no systematic account of these demands exists across psychology, AI, and philosophy of mind. I propose a framework identifying four structural…

Artificial Intelligence · Computer Science 2026-04-03 Yiling Wu

In 2011, Rideau and Winskel introduced concurrent games and strategies as event structures, generalizing prior work on causal formulations of games. In this paper we give a detailed, self-contained and slightly-updated account of the…

Logic · Mathematics 2019-03-14 Simon Castellan , Pierre Clairambault , Silvain Rideau , Glynn Winskel

The goal of sequential event prediction is to estimate the next event based on a sequence of historical events, with applications to sequential recommendation, user behavior analysis and clinical treatment. In practice, the next-event…

Machine Learning · Computer Science 2023-01-18 Chenxiao Yang , Qitian Wu , Qingsong Wen , Zhiqiang Zhou , Liang Sun , Junchi Yan

A standard contextual equivalence for process algebras is strong barbed congruence. Configuration structures are a denotational semantics for processes in which one can define equivalences that are more discriminating, i.e. that distinguish…

Logic in Computer Science · Computer Science 2015-08-21 Clément Aubert , Ioana Cristescu

This paper describes prediction methods for the number of future events from a population of units associated with an on-going time-to-event process. Examples include the prediction of warranty returns and the prediction of the number of…

Methodology · Statistics 2020-08-10 Qinglong Tian , Fanqi Meng , Daniel J. Nordman , William Q. Meeker

In [1] we present an extension of Prime Event Structures by a mechanism to express dynamicity in the causal relation. More precisely we add the possibility that the occurrence of an event can add or remove causal dependencies between events…

Logic in Computer Science · Computer Science 2015-04-03 Youssef Arbach , David Karcher , Kirstin Peters , Uwe Nestmann

The plethora of algorithms in the research field of process mining builds on directly-follows relations. Even though various improvements have been made in the last decade, there are serious weaknesses of these relationships. Once events…

Databases · Computer Science 2023-07-24 Philipp Waibel , Lukas Pfahlsberger , Kate Revoredo , Jan Mendling

We propose an interpretation of multiparty sessions with asynchronous communication as Flow Event Structures. We introduce a new notion of global type for asynchronous multiparty sessions, ensuring the expected properties for sessions,…

Logic in Computer Science · Computer Science 2026-04-08 Ilaria Castellani , Mariangiola Dezani-Ciancaglini , Paola Giannini

In this paper the correspondence between safe Petri nets and event structures, due to Nielsen, Plotkin and Winskel, is extended to arbitrary nets without self-loops, under the collective token interpretation. To this end we propose a more…

Logic in Computer Science · Computer Science 2009-12-22 R. J. van Glabbeek , G. D. Plotkin

A predictive distribution over a sequence of $N+1$ events is said to be "frequency mimicking" whenever the probability for the final event conditioned on the outcome of the first $N$ events equals the relative frequency of successes among…

Methodology · Statistics 2019-09-06 Frank Lad , Giuseppe Sanfilippo

Quantum theory is a mathematical formalism to compute probabilities for outcomes happenning in physical experiments. These outcomes constitute events happening in space-time. One of these events represents the fact that a system located in…

Quantum Physics · Physics 2012-06-07 Marco Zaopo

Reversible computing is a paradigm of computation that reflects physical reversibility, one of the fundamental microscopic laws of Nature. In this survey, we discuss topics on reversible logic elements with memory (RLEM), which can be used…

Formal Languages and Automata Theory · Computer Science 2013-09-06 Kenichi Morita

In the paper, we consider the problem of discovering sequential patterns from event-based spatio-temporal data. The problem is defined as follows: for a set of event types $F$ and for a dataset of events instances $D$ (where each instance…

Databases · Computer Science 2017-09-20 Piotr S. Maciąg

Reversible CCS (RCCS) is a well-established, formal model for reversible communicating systems, which has been built on top of the classical Calculus of Communicating Systems (CCS). In its original formulation, each CCS process is equipped…

Logic in Computer Science · Computer Science 2024-12-11 Hernán Melgratti , Claudio Antares Mezzina , G. Michele Pinna

This paper outlines a general formal framework for reasoning systems, intended to support future analysis of inference architectures across domains. We model reasoning systems as structured tuples comprising phenomena, explanation space,…

Artificial Intelligence · Computer Science 2025-08-05 Saleh Nikooroo , Thomas Engel
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