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A modeloid, a certain set of partial bijections, emerges from the idea to abstract from a structure to the set of its partial automorphisms. It comes with an operation, called the derivative, which is inspired by Ehrenfeucht-Fra\"iss\'e…

计算机科学中的逻辑 · 计算机科学 2022-12-12 Lucca Tiemens , Dana S. Scott , Christoph Benzmüller , Miroslav Benda

An effective, accessible abstraction hierarchy has made using and programming computers possible for people across all disciplines. Establishing such a hierarchy for quantum programming is an outstanding challenge, especially due to a…

Automatically generating debates is a challenging task that requires an understanding of arguments and how to negate or support them. In this work we define debate trees and paths for generating debates while enforcing a high level…

计算与语言 · 计算机科学 2020-12-02 Eric Bolton , Alex Calderwood , Niles Christensen , Jerome Kafrouni , Iddo Drori

We apply ideas from abstract argumentation theory to study cooperative game theory. Building on Dung's results in his seminal paper, we further the correspondence between Dung's four argumentation semantics and solution concepts in…

计算机科学与博弈论 · 计算机科学 2020-01-06 Anthony P. Young , David Kohan Marzagao , Josh Murphy

In this paper, we aim to establish a simple, effective, and theoretically grounded benchmark for rigorously probing abstract reasoning in Large Language Models (LLMs). To achieve this, we first develop a mathematic framework that defines…

计算与语言 · 计算机科学 2025-06-02 Qingchuan Ma , Yuhang Wu , Xiawu Zheng , Rongrong Ji

In this paper, our aim is to propose a model for code abstraction, based on abstract interpretation, allowing us to improve the precision of a recently proposed static analysis by abstract interpretation of dynamic languages. The problem we…

软件工程 · 计算机科学 2021-09-08 Isabella Mastroeni , Vincenzo Arceri

We characterise the problem of abstraction in the context of deep reinforcement learning. Various well established approaches to analogical reasoning and associative memory might be brought to bear on this issue, but they present…

机器学习 · 计算机科学 2022-05-02 Murray Shanahan , Melanie Mitchell

The symmetric interaction combinators are an equally expressive variant of Lafont's interaction combinators. They are a graph-rewriting model of deterministic computation. We define two notions of observational equivalence for them,…

计算机科学中的逻辑 · 计算机科学 2015-07-01 Damiano Mazza

We revisit the behavioral approach to systems theory and make explicit the abstract pattern that governs it. Our end goal is to use that pattern to understand interaction-related phenomena that emerge when systems interact. Rather than…

系统与控制 · 电气工程与系统科学 2019-11-26 Elie M. Adam , Munther A. Dahleh

Algorithms for model checking and satisfiability of the modal $\mu$-calculus start by converting formulas to alternating parity tree automata. Thus, model checking is reduced to checking acceptance by tree automata and satisfiability to…

计算机科学中的逻辑 · 计算机科学 2022-08-24 Daniel Hausmann , Nir Piterman

Arden's Lemma is a classical result in language theory allowing the computation of a rational expression denoting the language recognized by a finite string automaton. In this paper we generalize this important lemma to the rational tree…

形式语言与自动机理论 · 计算机科学 2015-02-02 Younes Guellouma , Ludovic Mignot , Hadda Cherroun , Djelloul Ziadi

Abstraction is a core tenet of human cognition and communication. When composing natural language instructions, humans naturally evoke abstraction to convey complex procedures in an efficient and concise way. Yet, interpreting and grounding…

计算与语言 · 计算机科学 2022-10-03 Royi Lachmy , Valentina Pyatkin , Avshalom Manevich , Reut Tsarfaty

This note illustrates how a variety of causal abstraction arXiv:1707.00819 arXiv:1812.03789, defined here as causal abstractive simulation, can be used to formalize a simple example of language model simulation. This note considers the case…

人工智能 · 计算机科学 2025-09-03 Gabriel Simmons

We present a computer-supported approach for the logical analysis and conceptual explicitation of argumentative discourse. Computational hermeneutics harnesses recent progresses in automated reasoning for higher-order logics and aims at…

人工智能 · 计算机科学 2022-12-12 David Fuenmayor , Christoph Benzmüller

We introduce and investigate a range of general notions of a game. Our principal notion is based on a set of agents modifying a relational structure in a discrete evolution sequence. We also introduce and study a variety of ways to model…

计算机科学中的逻辑 · 计算机科学 2019-11-20 Antti Kuusisto

Using the recently introduced universal computing model, called orchestrated machine, that represents computations in a dissipative environment, we consider a new kind of interpretation of Turing's Imitation Game. In addition we raise the…

人工智能 · 计算机科学 2015-09-03 Norbert Bátfai

We look at intensionality from the perspective of computation. In particular, we review how game semantics has been used to characterize the sequential functional processes, leading to powerful and flexible methods for constructing fully…

计算机科学中的逻辑 · 计算机科学 2017-05-16 Samson Abramsky

Do large language models (LLMs) genuinely understand abstract concepts, or merely manipulate them as statistical patterns? We introduce an abstraction-grounding framework that decomposes conceptual understanding into three capacities:…

计算与语言 · 计算机科学 2026-01-21 Junyu Zhang , Yipeng Kang , Jiong Guo , Jiayu Zhan , Junqi Wang

We attempt to automate various artistic processes by inventing a set of drawing games, analogous to the approach taken by emergent language research in inventing communication games. A critical difference is that drawing games demand much…

人工智能 · 计算机科学 2020-12-11 Chrisantha Fernando , Daria Zenkova , Stanislav Nikolov , Simon Osindero

This paper presents a survey of Abstract Meaning Representation (AMR), a semantic representation framework that captures the meaning of sentences through a graph-based structure. AMR represents sentences as rooted, directed acyclic graphs,…

计算与语言 · 计算机科学 2025-05-07 Behrooz Mansouri