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The {\em spectrum} of a first-order logic sentence is the set of natural numbers that are cardinalities of its finite models. In this paper we show that when restricted to using only two variables, but allowing counting quantifiers, the…

计算机科学中的逻辑 · 计算机科学 2014-06-12 Eryk Kopczynski , Tony Tan

Automated interpretability aims to translate large language model (LLM) features into human understandable descriptions. However, natural language feature descriptions can be vague, inconsistent, and require manual relabeling. In response,…

计算与语言 · 计算机科学 2026-03-02 Angie Boggust , Donghao Ren , Yannick Assogba , Dominik Moritz , Arvind Satyanarayan , Fred Hohman

We present a computational model for Parsing Expression Grammars (PEGs). The predecessor of PEGs top-down parsing languages (TDPLs) were discovered by A. Birman and J. Ullman in the 1960-s, B. Ford showed in 2004 that both formalisms…

形式语言与自动机理论 · 计算机科学 2024-09-06 Alexander Rubtsov , Nikita Chudinov

In this paper we provide for parsing with respect to grammars expressed in a general TFS-based formalism, a restriction of ALE. Our motivation being the design of an abstract (WAM-like) machine for the formalism, we consider parsing as a…

cmp-lg · 计算机科学 2016-08-31 Shuly Wintner , Nissim Francez

The design of complex engineering systems is an often long and articulated process that highly relies on engineers' expertise and professional judgment. As such, the typical pitfalls of activities involving the human factor often manifest…

计算与语言 · 计算机科学 2022-11-22 Shaohong Zhong , Andrea Scarinci , Alice Cicirello

The field of natural language processing (NLP) has witnessed significant progress in recent years, with a notable focus on improving large language models' (LLM) performance through innovative prompting techniques. Among these, prompt…

We develop a new, intrinsic, computationally friendly approach to Lie coalgebras through graph coalgebras, which are new and likely to be of independent interest. Our graph coalgebraic approach has advantages both in finding relations…

代数拓扑 · 数学 2009-01-16 Dev Sinha , Ben Walter

We propose regular expressions to abstractly model and study properties of resource-aware computations. Inspired by nominal techniques -- as those popular in process calculi -- we extend classical regular expressions with names (to model…

形式语言与自动机理论 · 计算机科学 2013-10-29 Alexander Kurz , Tomoyuki Suzuki , Emilio Tuosto

The aim of this paper is to provide mathematical foundations of a graph transformation language, called UnCAL, using categorical semantics of type theory and fixed points. About twenty years ago, Buneman et al. developed a graph database…

计算机科学中的逻辑 · 计算机科学 2016-09-13 Makoto Hamana , Kazutaka Matsuda , Kazuyuki Asada

Abstract Meaning Representation (AMR) parsing aims to extract an abstract semantic graph from a given sentence. The sequence-to-sequence approaches, which linearize the semantic graph into a sequence of nodes and edges and generate the…

计算与语言 · 计算机科学 2023-10-16 Bofei Gao , Liang Chen , Peiyi Wang , Zhifang Sui , Baobao Chang

It is known that families of graphs with a semialgebraic edge relation of bounded complexity satisfy much stronger regularity properties than arbitrary graphs, and that they can be decomposed into very homogeneous semialgebraic pieces up to…

逻辑 · 数学 2016-02-25 Artem Chernikov , Sergei Starchenko

Prevailing methods for integrating graphs into Language Models (LMs) typically rely on a segregated architecture: external Graph Neural Networks (GNNs) encode structural topology, while LMs process textual semantics. We argue this approach…

计算与语言 · 计算机科学 2026-02-02 Haisong Gong , Zhibo Liu , Qiang Liu , Shu Wu , Liang Wang

This work is about diagrammatic languages, how they can be represented, and what they in turn can be used to represent. More specifically, it focuses on representations and applications of string diagrams. String diagrams are used to…

范畴论 · 数学 2012-03-23 Aleks Kissinger

In this paper we present a proof system that operates on graphs instead of formulas. Starting from the well-known relationship between formulas and cographs, we drop the cograph-conditions and look at arbitrary undirected) graphs. This…

计算机科学中的逻辑 · 计算机科学 2023-06-22 Matteo Acclavio , Ross Horne , Lutz Straßburger

Graphs provide a unified representation of semantic content and relational structure, making them a natural fit for domains such as molecular modeling, citation networks, and social graphs. Meanwhile, large language models (LLMs) have…

机器学习 · 计算机科学 2026-05-04 Haotian Xu , Yuning You , Tengfei Ma

Summarization is a widespread method for handling very large graphs. The task of structural graph summarization is to compute a concise but meaningful synopsis of the key structural information of a graph. As summaries may be used for many…

数据库 · 计算机科学 2021-01-05 Till Blume , David Richerby , Ansgar Scherp

Graph data model and graph databases are very popular in various areas such as bioinformatics, semantic web, and social networks. One specific problem in the area is a path querying with constraints formulated in terms of formal grammars.…

数据库 · 计算机科学 2023-02-21 Semyon Grigorev , Anastasiya Ragozina

The mechanisms of comprehension during language processing remains an open question. Classically, building the meaning of a linguistic utterance is said to be incremental, step-by-step, based on a compositional process. However, many…

计算与语言 · 计算机科学 2025-11-05 Philippe Blache , Emmanuele Chersoni , Giulia Rambelli , Alessandro Lenci

In this paper we explore the design of sequent calculi operating on graphs. For this purpose, we introduce a set of logical connectives allowing us to extend the correspondence between cographs and classical propositional formulas to any…

计算机科学中的逻辑 · 计算机科学 2024-02-13 Matteo Acclavio

The stable model semantics had been recently generalized to non-Herbrand structures by several works, which provides a unified framework and solid logical foundations for answer set programming. This paper focuses on the expressiveness of…

人工智能 · 计算机科学 2014-12-03 Heng Zhang , Yan Zhang