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Traditional AI-planning methods for task planning in robotics require a symbolically encoded domain description. While powerful in well-defined scenarios, as well as human-interpretable, setting this up requires substantial effort.…

Robotics · Computer Science 2025-02-21 Shijia Li , Tomas Kulvicius , Minija Tamosiunaite , Florentin Wörgötter

In this work, we explore techniques for augmenting interactive agents with information from symbolic modules, much like humans use tools like calculators and GPS systems to assist with arithmetic and navigation. We test our agent's…

Computation and Language · Computer Science 2023-02-14 Ruoyao Wang , Peter Jansen , Marc-Alexandre Côté , Prithviraj Ammanabrolu

Creating realistic characters that can react to the users' or another character's movement can benefit computer graphics, games and virtual reality hugely. However, synthesizing such reactive motions in human-human interactions is a…

Graphics · Computer Science 2021-10-04 Qianhui Men , Hubert P. H. Shum , Edmond S. L. Ho , Howard Leung

Neural-symbolic methods have demonstrated efficiency in enhancing the reasoning abilities of large language models (LLMs). However, existing methods mainly rely on syntactically mapping natural languages to complete formal languages like…

Computation and Language · Computer Science 2024-06-04 Yiming Wang , Zhuosheng Zhang , Pei Zhang , Baosong Yang , Rui Wang

We investigate means of efficient computation of the simulation relation over symbolic finite automata (SFAs), i.e., finite automata with transitions labeled by predicates over alphabet symbols. In one approach, we build on the algorithm by…

Logic in Computer Science · Computer Science 2018-07-30 Lukáš Holík , Ondřej Lengál , Juraj Síč , Margus Veanes , Tomáš Vojnar

Large Language models (LLMs) have shown promise as generators of symbolic control policies, producing interpretable program-like representations through iterative search. However, these models are not capable of separating the functional…

Machine Learning · Computer Science 2025-10-02 Carlo Bosio , Matteo Guarrera , Alberto Sangiovanni-Vincentelli , Mark W. Mueller

We propose a method to construct finite-state reactive controllers for systems whose interactions with their adversarial environment are modeled by infinite-duration two-player games over (possibly) infinite graphs. The proposed method…

Formal Languages and Automata Theory · Computer Science 2016-01-08 Daniel Neider , Ufuk Topcu

Identifying governing equations for a dynamical system is a topic of critical interest across an array of disciplines, from mathematics to engineering to biology. Machine learning -- specifically deep learning -- techniques have shown their…

Dynamical Systems · Mathematics 2026-05-07 Nibodh Boddupalli , Timothy Matchen , Jeff Moehlis

Numerical reasoning over text is a challenging task of Artificial Intelligence (AI), requiring reading comprehension and numerical reasoning abilities. Previous approaches use numerical reasoning programs to represent the reasoning process.…

Artificial Intelligence · Computer Science 2022-10-21 Jiaxin Zhang , Yashar Moshfeghi

Symbolic models are abstract descriptions of continuous systems in which symbols represent aggregates of continuous states. In the last few years there has been a growing interest in the use of symbolic models as a tool for mitigating…

Optimization and Control · Mathematics 2007-07-31 Giordano Pola , Paulo Tabuada

Many interesting and useful symbolic computation algorithms manipulate mathematical expressions in mathematically meaningful ways. Although these algorithms are commonplace in computer algebra systems, they can be surprisingly difficult to…

Logic in Computer Science · Computer Science 2019-05-07 Jacques Carette , William M. Farmer

The mathematical formalism of quantum mechanics has been successfully employed in the last years to model situations in which the use of classical structures gives rise to problematical situations, and where typically quantum effects, such…

Artificial Intelligence · Computer Science 2013-01-08 Diederik Aerts , Marek Czachor , Sandro Sozzo

A natural goal in multiagent learning besides finding equilibria is to learn rationalizable behavior, where players learn to avoid iteratively dominated actions. However, even in the basic setting of multiplayer general-sum games, existing…

Machine Learning · Computer Science 2022-10-21 Yuanhao Wang , Dingwen Kong , Yu Bai , Chi Jin

Symbolic Regression (SR) holds great potential for uncovering underlying mathematical and physical relationships from observed data. However, the vast combinatorial space of possible expressions poses significant challenges for both online…

Machine Learning · Computer Science 2025-02-12 Yuan Tian , Wenqi Zhou , Michele Viscione , Hao Dong , David Kammer , Olga Fink

Symbolic Regression (SR) holds great potential for uncovering underlying mathematical and physical relationships from observed data. However, the vast combinatorial space of possible expressions poses significant challenges for both online…

Machine Learning · Computer Science 2025-02-14 Yuan Tian , Wenqi Zhou , Michele Viscione , Hao Dong , David Kammer , Olga Fink

We present a method for generating training data for reinforcement learning with verifiable rewards to improve small open-weights language models on mathematical tasks. Existing data generation approaches rely on open-loop pipelines and…

Machine Learning · Computer Science 2026-02-24 Teresa Yeo , Myeongho Jeon , Dulaj Weerakoon , Rui Qiao , Alok Prakash , Armando Solar-Lezama , Archan Misra

Combining symbolic and geometric reasoning in multi-agent systems is a challenging task that involves planning, scheduling, and synchronization problems. Existing works overlooked the variability of task duration and geometric feasibility…

With the primary objective of human-robot interaction being to support humans' goals, there exists a need to formally synthesize robot controllers that can provide the desired service. Synthesis techniques have the benefit of providing…

Robotics · Computer Science 2019-03-05 Rachel Schlossman , Minkyu Kim , Ufuk Topcu , Luis Sentis

Given a multi-modal dynamical system, optimal switching logic synthesis involves generating the conditions for switching between the system modes such that the resulting hybrid system satisfies a quantitative specification. We formalize and…

Systems and Control · Computer Science 2011-05-06 Susmit Jha , Sanjit A. Seshia , Ashish Tiwari

Reactive synthesis is an automatic way to translate a human intention expressed in some logic into a system of some kind. This thesis has two parts, devoted to logic and to systems. In Part I, we develop two new approaches to CTL*…

Logic in Computer Science · Computer Science 2018-08-29 Ayrat Khalimov
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