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This book objective is to develop an algebraization of graph grammars. Equivalently, we study graph dynamics. From the point of view of a computer scientist, graph grammars are a natural generalization of Chomsky grammars for which a purely…

Discrete Mathematics · Computer Science 2009-11-17 Pedro Pablo Perez Velasco

We propose axioms governing the interaction of constructive assertibility and meaningfulness predicates with a self-applicative truth predicate characterized by the T-scheme, and we prove the consistency of the resulting formal system.

Logic · Mathematics 2025-10-10 Nik Weaver

A general framework is proposed for integration of rules and external first order theories. It is based on the well-founded semantics of normal logic programs and inspired by ideas of Constraint Logic Programming (CLP) and constructive…

Logic in Computer Science · Computer Science 2010-12-08 W. Drabent , J. Maluszynski

Matrix Graph Grammars (MGG) is a novel approach to the study of graph dynamics ([15]). In the present contribution we look at MGG as a formal grammar and as a model of computation, which is a necessary step in the more ambitious program of…

Discrete Mathematics · Computer Science 2009-11-16 Pedro Pablo Perez Velasco

We give labeled natural deduction systems for a family of tense logics extending the basic linear tense logic Kl. We prove that our systems are sound and complete with respect to the usual Kripke semantics, and that they possess a number of…

Logic in Computer Science · Computer Science 2008-03-25 Luca Viganò , Marco Volpe

In this paper we describe our experiences with a tool for the development and testing of natural language grammars called GTU (German: Grammatik-Testumgebumg; grammar test environment). GTU supports four grammar formalisms under a…

cmp-lg · Computer Science 2008-02-03 Martin Volk , Dirk Richarz

We describe a generative probabilistic model of natural language, which we call HBG, that takes advantage of detailed linguistic information to resolve ambiguity. HBG incorporates lexical, syntactic, semantic, and structural information…

cmp-lg · Computer Science 2008-02-03 Ezra Black , Fred Jelinek , John Lafferty , David M. Magerman , Robert Mercer , Salim Roukos

Natural language generation (NLG) is a critical component of spoken dialogue and it has a significant impact both on usability and perceived quality. Most NLG systems in common use employ rules and heuristics and tend to generate rigid and…

Computation and Language · Computer Science 2015-08-27 Tsung-Hsien Wen , Milica Gasic , Nikola Mrksic , Pei-Hao Su , David Vandyke , Steve Young

Large language models (LLMs) are powerful AI tools that can generate and comprehend natural language text and other complex information. However, the field lacks a mathematical framework to systematically describe, compare and improve LLMs.…

Machine Learning · Computer Science 2023-11-07 Javier González , Aditya V. Nori

Skip-gram (word2vec) is a recent method for creating vector representations of words ("distributed word representations") using a neural network. The representation gained popularity in various areas of natural language processing, because…

Computation and Language · Computer Science 2020-07-09 Tom Kocmi , Ondřej Bojar

We have designed a new logic programming language called LM (Linear Meld) for programming graph-based algorithms in a declarative fashion. Our language is based on linear logic, an expressive logical system where logical facts can be…

Programming Languages · Computer Science 2020-02-19 Flavio Cruz , Ricardo Rocha , Seth Copen Goldstein , Frank Pfenning

The paper presents some aspects involved in the formalization and implementation of HPSG theories. As basis, the logical setups of Carpenter (1992) and King (1989, 1994) are briefly compared regarding their usefulness as basis for HPSGII…

cmp-lg · Computer Science 2008-02-03 Walt Detmar Meurers

We introduce Lovelace, a tool for creating corpora of semantic graphs. The system uses graph expansion grammar as a representational language, thus allowing users to craft a grammar that describes a corpus with desired properties. When…

Formal Languages and Automata Theory · Computer Science 2023-09-19 Eric Andersson , Johanna Björklund , Frank Drewes , Anna Jonsson

We present a framework for formal software development with UML. In contrast to previous approaches that equip UML with a formal semantics, we follow an institution based heterogeneous approach. This can express suitable formal semantics of…

Software Engineering · Computer Science 2014-04-01 Alexander Knapp , Till Mossakowski , Markus Roggenbach

Classic grammars and regular expressions can be used for a variety of purposes, including parsing, intent detection, and matching. However, the comparisons are performed at a structural level, with constituent elements (words or characters)…

Computation and Language · Computer Science 2018-08-16 David Wingate , William Myers , Nancy Fulda , Tyler Etchart

Hybrid logic extends modal logic with support for reasoning about individual states, designated by so-called nominals. We study hybrid logic in the broad context of coalgebraic semantics, where Kripke frames are replaced with coalgebras for…

Logic in Computer Science · Computer Science 2010-02-03 Lutz Schroeder , Dirk Pattinson

This paper exhibits a general and uniform method to prove completeness for certain modal fixpoint logics. Given a set \Gamma of modal formulas of the form \gamma(x, p1, . . ., pn), where x occurs only positively in \gamma, the language…

Logic in Computer Science · Computer Science 2008-12-16 Luigi Santocanale , Yde Venema

In this paper we outline a lexical organization for Turkish that makes use of lexical rules for inflections, derivations, and lexical category changes to control the proliferation of lexical entries. Lexical rules handle changes in…

cmp-lg · Computer Science 2008-02-03 Onur Sehitoglu , Cem Bozsahin

When people develop something intended as a large broad-coverage grammar, they usually have a more specific goal in mind. Sometimes this goal is covering a corpus; sometimes the developers have theoretical ideas they wish to investigate;…

Computation and Language · Computer Science 2007-05-23 Beth Ann Hockey , Manny Rayner , Frankie James

In this paper, we transform tag recommendation into a word-based text generation problem and introduce a sequence-to-sequence model. The model inherits the advantages of LSTM-based encoder for sequential modeling and attention-based decoder…

Computation and Language · Computer Science 2019-12-03 Xuewen Shi , Heyan Huang , Shuyang Zhao , Ping Jian , Yi-Kun Tang