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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…

Logic in Computer Science · Computer Science 2016-09-13 Makoto Hamana , Kazutaka Matsuda , Kazuyuki Asada

We propose a graph-based extension of Boolean logic called Boolean Graph Logic (BGL). Construing formula trees as the cotrees of cographs, we may state semantic notions such as evaluation and entailment in purely graph-theoretic terms,…

Logic in Computer Science · Computer Science 2020-04-28 Cameron Calk , Anupam Das , Tim Waring

Work on knowledge graphs and graph-based data management often focus either on declarative graph query languages or on frameworks for graph analytics, where there has been little work in trying to combine both approaches. However, many…

Databases · Computer Science 2020-04-07 Aidan Hogan , Juan Reutter , Adrian Soto

Graph database query languages feature expressive, yet computationally expensive pattern matching capabilities. Answering optional query clauses in SPARQL for instance renders the query evaluation problem immediately Pspace-complete.…

Databases · Computer Science 2018-10-23 Stephan Mennicke , Jan-Christoph Kalo , Denis Nagel , Hermann Kroll , Wolf-Tilo Balke

Analytics on structured data is a mature field with many successful methods. However, most real world data exists in unstructured form, such as images and conversations. We investigate the potential of Large Language Models (LLMs) to enable…

Large language models (LLMs) have shown promise in table Question Answering (Table QA). However, extending these capabilities to multi-table QA remains challenging due to unreliable schema linking across complex tables. Existing methods…

Artificial Intelligence · Computer Science 2025-11-25 Xixi Wang , Miguel Costa , Jordanka Kovaceva , Shuai Wang , Francisco C. Pereira

The generalizability to new databases is of vital importance to Text-to-SQL systems which aim to parse human utterances into SQL statements. Existing works achieve this goal by leveraging the exact matching method to identify the lexical…

Computation and Language · Computer Science 2022-08-09 Aiwei Liu , Xuming Hu , Li Lin , Lijie Wen

We consider a core language of graph queries. These queries are seen as formulas to be solved with respect to graph-oriented databases. For this purpose, we first define a graph query algebra where some operations over graphs and sets of…

Logic in Computer Science · Computer Science 2022-02-22 Dominique Duval , Rachid Echahed , Frederic Prost

Graph databases are gaining momentum thanks to the flexibility and expressiveness of their data models and query languages. A standardization activity driven by the ISO/IEC standardization body is also ongoing and has already conducted to…

Databases · Computer Science 2024-10-15 Renzo Angles , Angela Bonifati , Roberto García , Domagoj Vrgoč

We report on implementing graph grammars for intelligence analysis in OCaml. Graph grammars are represented as elements of an algebraic data type in OCaml. In addition to algebraic data types, we use other concepts from functional…

Programming Languages · Computer Science 2016-06-06 Rod Moten , Kemafor Anyanwu-Ogan , Sahibi Miranshah

EQL, also named as Extremely Simple Query Language, can be widely used in the field of knowledge graph, precise search, strong artificial intelligence, database, smart speaker ,patent search and other fields. EQL adopt the principle of…

Databases · Computer Science 2020-03-26 Han Liu , Shantao Liu

Most graph query languages are rooted in logic. By contrast, in this paper we consider graph query languages rooted in linear algebra. More specifically, we consider MATLANG, a matrix query language recently introduced, in which some basic…

Databases · Computer Science 2020-02-04 Floris Geerts

LMNtal is a programming and modeling language based on hierarchical graph rewriting that uses logical variables to represent connectivity and membranes to represent hierarchy. On the theoretical side, it allows logical interpretation based…

Programming Languages · Computer Science 2024-09-18 Haruto Mishina , Kazunori Ueda

GQL has recently emerged as the standard query language over graph databases (particularly, the property graph model). Indeed, this is analogous to the role of SQL for relational databases. Unlike SQL, however, fundamental problems…

Databases · Computer Science 2025-10-23 Diego Figueira , Anthony W. Lin , Liat Peterfreund

We developed a flexible parallel algorithm for graph summarization based on vertex-centric programming and parameterized message passing. The base algorithm supports infinitely many structural graph summary models defined in a formal…

Data Structures and Algorithms · Computer Science 2022-11-07 Till Blume , Jannik Rau , David Richerby , Ansgar Scherp

Graph database query languages cannot express algorithms like PageRank, forcing costly data wrangling, while existing solutions such as algorithm libraries, vertex-centric APIs, and recursive CTEs lack the necessary combination of…

The big graph database model provides strong modeling for complex applications and efficient querying. However, it is still a big challenge to find all exact matches of a query graph in a big graph database, which is known as the subgraph…

Data Structures and Algorithms · Computer Science 2018-08-21 Merve Asiler , Adnan Yazıcı

Subject to the huge semantic gap between natural and formal languages, neural semantic parsing is typically bottlenecked by its complexity of dealing with both input semantics and output syntax. Recent works have proposed several forms of…

Computation and Language · Computer Science 2022-11-08 Lunyiu Nie , Shulin Cao , Jiaxin Shi , Jiuding Sun , Qi Tian , Lei Hou , Juanzi Li , Jidong Zhai

Graph grammars extend the theory of formal languages in order to model distributed parallelism in theoretical computer science. We show here that to certain classes of context-free and context-sensitive graph grammars one can associate a…

Formal Languages and Automata Theory · Computer Science 2015-03-02 Matilde Marcolli , Alexander Port

This seminal paper proposes a new query language for graph matching and rewriting overcoming {the declarative} limitation of Cypher while outperforming {Neo4j} on graph matching and rewriting by at least one order of magnitude. We exploited…

Databases · Computer Science 2024-03-13 Oliver Robert Fox , Giacomo Bergami
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