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We contribute a general apparatus for dependent tactic-based proof refinement in the LCF tradition, in which the statements of subgoals may express a dependency on the proofs of other subgoals; this form of dependency is extremely useful…

Logic in Computer Science · Computer Science 2017-03-16 Jonathan Sterling , Robert Harper

In this work, we establish different control design approaches for discrete-time systems, which build upon the notion of finite-step control Lyapunov functions (fs-CLFs). The design approaches are formulated as optimization problems and…

Dynamical Systems · Mathematics 2019-08-27 Navid Noroozi , Roman Geiselhart , Lars Grüne , Fabian R. Wirth

Automata learning techniques automatically generate system models from test observations. These techniques usually fall into two categories: passive and active. Passive learning uses a predetermined data set, e.g., system logs. In contrast,…

Machine Learning · Computer Science 2019-07-01 Martin Tappler , Bernhard K. Aichernig , Giovanni Bacci , Maria Eichlseder , Kim G. Larsen

Many real-world applications require the prediction of long sequence time-series, such as electricity consumption planning. Long sequence time-series forecasting (LSTF) demands a high prediction capacity of the model, which is the ability…

Machine Learning · Computer Science 2021-03-30 Haoyi Zhou , Shanghang Zhang , Jieqi Peng , Shuai Zhang , Jianxin Li , Hui Xiong , Wancai Zhang

The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture…

Artificial Intelligence · Computer Science 2012-06-18 Ydo Wexler , Christopher Meek

We present a new type system with support for proofs of programs in a call-by-value language with control operators. The proof mechanism relies on observational equivalence of (untyped) programs. It appears in two type constructors, which…

Logic in Computer Science · Computer Science 2016-04-08 Rodolphe Lepigre

In the field of sequential recommendation, deep learning (DL)-based methods have received a lot of attention in the past few years and surpassed traditional models such as Markov chain-based and factorization-based ones. However, there is…

Information Retrieval · Computer Science 2020-10-13 Hui Fang , Danning Zhang , Yiheng Shu , Guibing Guo

This work presents a novel systematic methodology to analyse the capabilities and limitations of Large Language Models (LLMs) with feedback from a formal inference engine, on logic theory induction. The analysis is complexity-graded w.r.t.…

Computation and Language · Computer Science 2025-01-15 João Pedro Gandarela , Danilo S. Carvalho , André Freitas

Time series forecasters are widely used across various domains. Among them, MLP (multi-layer perceptron)-based forecasters have been proven to be more robust to noise compared to Transformer-based forecasters. However, MLP struggles to…

Machine Learning · Computer Science 2026-03-18 Xiang Ao

A common object to describe the extremal dependence of a $d$-variate random vector $X$ is the stable tail dependence function $L$. Various parametric models have emerged, with a popular subclass consisting of those stable tail dependence…

Statistics Theory · Mathematics 2026-01-21 Alexis Boulin , Axel Bücher

Type analyses of logic programs which aim at inferring the types of the program being analyzed are presented in a unified abstract interpretation-based framework. This covers most classical abstract interpretation-based type analyzers for…

Software Engineering · Computer Science 2009-09-29 Claudio Vaucheret , Francisco Bueno

Modelling the behaviour of highly nonlinear dynamical systems with robust uncertainty quantification is a challenging task which typically requires approaches specifically designed to address the problem at hand. We introduce a…

Machine Learning · Statistics 2024-01-25 Thomas Baldwin-McDonald , Mauricio A. Álvarez

Program equivalence in linear contexts, where programs are used or executed exactly once, is an important issue in programming languages. However, existing techniques like those based on bisimulations and logical relations only target at…

Programming Languages · Computer Science 2011-10-12 Yuxin Deng , Yu Zhang

Autonomous systems embedded with machine learning modules often rely on deep neural networks for classifying different objects of interest in the environment or different actions or strategies to take for the system. Due to the…

Systems and Control · Electrical Eng. & Systems 2020-04-07 Zhe Xu

We describe a derivational approach to abstract interpretation that yields novel and transparently sound static analyses when applied to well-established abstract machines. To demonstrate the technique and support our claim, we transform…

Programming Languages · Computer Science 2010-09-09 David Van Horn , Matthew Might

An oblivious computation is one that is free of direct and indirect information leaks, e.g., due to observable differences in timing and memory access patterns. This paper presents Lambda Obliv, a core language whose type system enforces…

Programming Languages · Computer Science 2019-11-14 David Darais , Ian Sweet , Chang Liu , Michael Hicks

Higher-order logic HOL offers a very simple syntax and semantics for representing and reasoning about typed data structures. But its type system lacks advanced features where types may depend on terms. Dependent type theory offers such a…

Logic in Computer Science · Computer Science 2023-05-25 Colin Rothgang , Florian Rabe , Christoph Benzmüller

This note presents some representative methods which are based on dictionary learning (DL) for classification. We do not review the sophisticated methods or frameworks that involve DL for classification, such as online DL and spatial…

Computer Vision and Pattern Recognition · Computer Science 2012-05-31 Shu Kong , Donghui Wang

In order to develop systems capable of modeling artificial life, we need to identify, which systems can produce complex behavior. We present a novel classification method applicable to any class of deterministic discrete space and time…

Cellular Automata and Lattice Gases · Physics 2020-09-01 Barbora Hudcova , Tomas Mikolov

We present the guarded lambda-calculus, an extension of the simply typed lambda-calculus with guarded recursive and coinductive types. The use of guarded recursive types ensures the productivity of well-typed programs. Guarded recursive…

Logic in Computer Science · Computer Science 2019-03-14 Ranald Clouston , Aleš Bizjak , Hans Bugge Grathwohl , Lars Birkedal
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