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We investigate the statistical and computational limits of latent Diffusion Transformers (DiTs) under the low-dimensional linear latent space assumption. Statistically, we study the universal approximation and sample complexity of the DiTs…

Machine Learning · Statistics 2024-11-01 Jerry Yao-Chieh Hu , Weimin Wu , Zhao Song , Han Liu

In this paper, we present an approach for fault-tolerant synthesis by combining predefined patterns for fault-tolerance with algorithmic game solving. A non-fault-tolerant system, together with the relevant fault hypothesis and…

Computer Science and Game Theory · Computer Science 2010-11-02 Chih-Hong Cheng , Harald Ruess , Alois Knoll , Christian Buckl

Given a specification of linear-time temporal logic interpreted over finite traces (LTLf), the reactive synthesis problem asks to find a finitely-representable, terminating controller that reacts to the uncontrollable actions of an…

Formal Languages and Automata Theory · Computer Science 2022-12-22 Luca Geatti , Marco Montali , Andrey Rivkin

Devising a strategy to make a system mimicking behaviors from another system is a problem that naturally arises in many areas of Computer Science. In this work, we interpret this problem in the context of intelligent agents, from the…

Artificial Intelligence · Computer Science 2022-05-20 Giuseppe De Giacomo , Dror Fried , Fabio Patrizi , Shufang Zhu

We propose a symbolic self-triggered controller synthesis procedure for non-deterministic continuous-time nonlinear systems without stability assumptions. The goal is to compute a controller that satisfies two objectives. The first…

Systems and Control · Electrical Eng. & Systems 2020-10-23 Sasinee Pruekprasert , Clovis Eberhart , Jérémy Dubut

Large Language Models (LLMs) push the bound-aries in natural language processing and generative AI, driving progress across various aspects of modern society. Unfortunately, the pervasive issue of bias in LLMs responses (i.e., predictions)…

Computation and Language · Computer Science 2025-05-20 Isabela Pereira Gregio , Ian Pons , Anna Helena Reali Costa , Artur Jordão

Linear Temporal Logic (LTL) is widely used for defining conditions on the execution paths of dynamic systems. In the case of dynamic systems that allow for nondeterministic evolutions, one has to specify, along with an LTL formula f, which…

Artificial Intelligence · Computer Science 2011-09-30 M. Pistore , M. Y. Vardi

Modern cyber-physical systems are complex, and requirements are often written in Signal Temporal Logic (STL). Writing the right STL is difficult in practice; engineers benefit from concrete executions that illustrate what a specification…

Systems and Control · Electrical Eng. & Systems 2026-03-19 Martin Jouve-Genty , Han Su , Sota Sato , Jie An , Zhenya Zhang , Ichiro Hasuo

This thesis scrutinizes common assumptions underlying traditional machine learning approaches to fairness in consequential decision making. After challenging the validity of these assumptions in real-world applications, we propose ways to…

Machine Learning · Computer Science 2021-02-01 Niki Kilbertus

We discuss the problem of experimentally evaluating linear-time temporal logic (LTL) synthesis tools for reactive systems. We first survey previous such work for the currently publicly available synthesis tools, and then draw conclusions by…

Logic in Computer Science · Computer Science 2011-02-22 Rüdiger Ehlers

We generalize the system level synthesis framework to systems defined by bounded causal linear operators, and use this parameterization to make connections between robust system level synthesis and classical results from the robust control…

Optimization and Control · Mathematics 2020-05-15 Nikolai Matni , Anish A. Sarma

In this paper, we investigate the control synthesis problem for Signal Temporal Logic (STL) specifications in the presence of uncontrollable agents. Existing works mainly address this problem in a robust control setting by assuming the…

Systems and Control · Electrical Eng. & Systems 2025-02-21 Bohan Cui , Xinyi Yu , Alessandro Giua , Xiang Yin

In runtime verification, manually formalizing a specification for monitoring system executions is a tedious and error-prone process. To address this issue, we consider the problem of automatically synthesizing formal specifications from…

Artificial Intelligence · Computer Science 2023-10-27 Ritam Raha , Rajarshi Roy , Nathanael Fijalkow , Daniel Neider , Guillermo A. Perez

We study the automatic synthesis of fair non-repudiation protocols, a class of fair exchange protocols, used for digital contract signing. First, we show how to specify the objectives of the participating agents and the trusted third party…

Logic in Computer Science · Computer Science 2011-11-15 Krishnendu Chatterjee , Vishwanath Raman

Recent work on using natural language to specify commands to robots has grounded that language to LTL. However, mapping natural language task specifications to LTL task specifications using language models require probability distributions…

Computation and Language · Computer Science 2022-03-11 Eric Hsiung , Hiloni Mehta , Junchi Chu , Xinyu Liu , Roma Patel , Stefanie Tellex , George Konidaris

We address the problem of diagnosing and repairing specifications for hybrid systems formalized in signal temporal logic (STL). Our focus is on the setting of automatic synthesis of controllers in a model predictive control (MPC) framework.…

LTLf synthesis is the automated construction of a reactive system from a high-level description, expressed in LTLf, of its finite-horizon behavior. So far, the conversion of LTLf formulas to deterministic finite-state automata (DFAs) has…

Logic in Computer Science · Computer Science 2020-02-19 Suguman Bansal , Yong Li , Lucas M. Tabajara , Moshe Y. Vardi

Funnel synthesis refers to a procedure for synthesizing a time-varying controlled invariant set and an associated control law around a nominal trajectory. The computation of the funnel involves solving a continuous-time differential…

Optimization and Control · Mathematics 2025-10-28 Taewan Kim , Behçet Açıkmeşe

This paper introduces different views for understanding problems and faults with the goal of defining a method for the formal specification of systems. The idea of Layered Fault Tolerant Specification (LFTS) is proposed to make the method…

Software Engineering · Computer Science 2012-07-12 Manuel Mazzara

We study automatic synthesis of systems that interact with their environment and maintain privacy against an observer to the interaction. The system and the environment interact via sets $I$ and $O$ of input and output signals. The input to…

Logic in Computer Science · Computer Science 2025-08-06 Orna Kupferman , Ofer Leshkowitz , Namma Shamash Halevy