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This paper summarizes the core definitions and results regarding the chain differential for functions in locally convex topological vector spaces. In addition, it provides a few elementary calculus rules of practical interest, notably for…

Functional Analysis · Mathematics 2015-06-30 Daniel E. Clark , Jeremie Houssineau , Emmanuel D. Delande

We present a labelled sequent calculus for Boolean BI, a classical variant of O'Hearn and Pym's logic of Bunched Implication. The calculus is simple, sound, complete, and enjoys cut-elimination. We show that all the structural rules in our…

Logic in Computer Science · Computer Science 2015-05-05 Zhe Hou , Alwen Tiu , Rajeev Gore

We present a straightforward source-to-source transformation that introduces justifications for user-defined constraints into the CHR programming language. Then a scheme of two rules suffices to allow for logical retraction (deletion,…

Artificial Intelligence · Computer Science 2017-09-12 Thom Fruehwirth

A general mathematical method is presented for the systematic construction of coupled map lattices (CMLs) out of deterministic cellular automata (CAs). The entire CA rule space is addressed by means of a universal map for CAs that we have…

Cellular Automata and Lattice Gases · Physics 2016-06-09 Vladimir García-Morales

Based on methods of structural convergence we provide a unifying view of local-global convergence, fitting to model theory and analysis. The general approach outlined here provides a possibility to extend the theory of local-global…

Combinatorics · Mathematics 2018-10-18 Jaroslav Nesetril , Patrice Ossona de Mendez

Linear-constraint loops are programs whose transition relation is specified by a system of linear inequalities. The termination problem asks, given a loop, whether it admits an infinite computation. Decidability of termination remains open…

Logic in Computer Science · Computer Science 2026-05-15 Mishel Carelli

Determining the trajectories of cells and their lineages or ancestries in live-cell experiments are fundamental to the understanding of how cells behave and divide. This paper proposes novel online algorithms for jointly tracking and…

Signal Processing · Electrical Eng. & Systems 2021-10-29 Tran Thien Dat Nguyen , Ba-Ngu Vo , Ba-Tuong Vo , Du Yong Kim , Yu Suk Choi

The Longest Common Subsequence Problem (LCS) deals with finding the longest subsequence among a given set of strings. The LCS problem is an NP-hard problem which makes it a target for lots of effort to find a better solution with heuristics…

Data Structures and Algorithms · Computer Science 2022-06-24 Alireza Abdi , Mohsen Hooshmand

Generating logical form equivalents of human language is a fresh way to employ neural architectures where long short-term memory effectively captures dependencies in both encoder and decoder units. The logical form of the sequence usually…

Machine Learning · Computer Science 2018-07-20 Javid Dadashkarimi , Sekhar Tatikonda

The intersection type assignment system has been designed directly as deductive system for assigning formulae of the implicative and conjunctive fragment of the intuitionistic logic to terms of lambda-calculus. But its relation with the…

Logic in Computer Science · Computer Science 2011-01-25 Simona Ronchi Della Rocca , Alexis Saurin , Yiorgos Stavrinos , Anastasia Veneti

The RPC calculus is a simple semantic foundation for multi-tier programming languages such as Links in which located functions can be written for the client-server model. Subsequently, the typed RPC calculus is designed to capture the…

Programming Languages · Computer Science 2020-05-26 Kwanghoon Choi , James Cheney , Simon Fowler , Sam Lindley

Multi-Context Systems (MCS) model in Computational Logic distributed systems composed of heterogeneous sources, or "contexts", interacting via special rules called "bridge rules". In this paper, we consider how to enhance flexibility and…

Artificial Intelligence · Computer Science 2021-06-15 Pedro Cabalar , Stefania Costantini , Giovanni De Gasperis , Andrea Formisano

Type systems usually characterize the shape of values but not their free variables. However, there are many desirable safety properties one could guarantee if one could track how references can escape. For example, one may implement…

Programming Languages · Computer Science 2021-05-26 Aleksander Boruch-Gruszecki , Jonathan Immanuel Brachthäuser , Edward Lee , Ondřej Lhoták , Martin Odersky

In this article, we study the linear time-invariant state-feedback controller design problem for distributed systems. We follow the recently developed system level synthesis (SLS) approach and impose locality structure on the resulting…

Systems and Control · Electrical Eng. & Systems 2022-01-11 Emily Jensen , Bassam Bamieh

Constraint Handling Rules (CHR) is a declarative rule-based formalism and language. Concurrency is inherent as rules can be applied to subsets of constraints in parallel. Parallel implementations of CHR, be it in software, be it in…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-24 Thom Frühwirth , Daniel Gall

We propose Monte Carlo calibration algorithms for three models: local volatility with stochastic interest rates, stochastic local volatility with deterministic interest rates, and finally stochastic local volatility with stochastic interest…

Mathematical Finance · Quantitative Finance 2023-05-09 Orcan Ogetbil , Narayan Ganesan , Bernhard Hientzsch

Process algebra and temporal logic are two popular paradigms for the specification, verification and systematic development of reactive and concurrent systems. These two approaches take different standpoint for looking at specifications and…

Logic in Computer Science · Computer Science 2013-01-01 Zhaohui Zhu , Yan Zhang , Jinjin Zhang

A sequential dynamical system (SDS) consists of a graph, a set of local functions and an update schedule. A linear sequential dynamical system is an SDS whose local functions are linear. In this paper, we derive an explicit closed formula…

Combinatorics · Mathematics 2018-05-21 Ricky X. F. Chen , Christian M. Reidys

Complexity has been a recurrent research topic in cellular automata because they represent systems where complex behaviors emerge from simple local interactions. A significant amount of previous research has been conducted proposing…

A novel, model free, approach to experimental closed-loop flow control is implemented on a separated flow. Feedback control laws are generated using genetic programming where they are optimized using replication, mutation and cross-over of…

Fluid Dynamics · Physics 2015-06-19 Nicolas Gautier , Thomas Duriez , Jean-Luc Aider , Bernd Noack , Marc Segond , Markus Abel