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Process theories combine a graphical language for compositional reasoning with an underlying categorical semantics. They have been successfully applied to fields such as quantum computation, natural language processing, linear dynamical…

计算机科学中的逻辑 · 计算机科学 2018-05-17 Dan Marsden , Fabrizio Genovese

A perspective of statistical language models which emphasizes their collocational aspect is advocated. It is suggested that strings be generalized in terms of classes of relationships instead of classes of objects. The single most important…

cmp-lg · 计算机科学 2008-02-03 Robert John Freeman

Grammatic is a tool for grammar definition and manipulation aimed to improve modularity and reuse of grammars and related development artifacts. It is independent from parsing technology and any other details of target system…

编程语言 · 计算机科学 2009-01-19 Andrey Breslav

We define a class of probabilistic models in terms of an operator algebra of stochastic processes, and a representation for this class in terms of stochastic parameterized grammars. A syntactic specification of a grammar is mapped to…

人工智能 · 计算机科学 2007-05-23 Eric Mjolsness

This document describes a sizable grammar of English written in the TAG formalism and implemented for use with the XTAG system. This report and the grammar described herein supersedes the TAG grammar described in an earlier 1995 XTAG…

计算与语言 · 计算机科学 2012-08-27 XTAG Research Group

First we define a unification grammar formalism called the Tree Homomorphic Feature Structure Grammar. It is based on Lexical Functional Grammar (LFG), but has a strong restriction on the syntax of the equations. We then show that this…

cmp-lg · 计算机科学 2008-02-03 Tore Burheim

Recently researchers working in the LFG framework have proposed algorithms for taking advantage of the implicit context-free components of a unification grammar [Maxwell 96]. This paper clarifies the mathematical foundations of these…

cmp-lg · 计算机科学 2008-02-03 Marc Dymetman

A grammar logic refers to an extension to the multi-modal logic K in which the modal axioms are generated from a formal grammar. We consider a proof theory, in nested sequent calculus, of grammar logics with converse, i.e., every modal…

计算机科学中的逻辑 · 计算机科学 2012-04-12 Alwen Tiu , Egor Ianovski , Rajeev Gore

We propose a mathematical framework for a unification of the distributional theory of meaning in terms of vector space models, and a compositional theory for grammatical types, for which we rely on the algebra of Pregroups, introduced by…

计算与语言 · 计算机科学 2010-03-24 Bob Coecke , Mehrnoosh Sadrzadeh , Stephen Clark

This paper describes a computational framework for a grammar architecture in which different linguistic domains such as morphology, syntax, and semantics are treated not as separate components but compositional domains. Word and phrase…

cmp-lg · 计算机科学 2008-02-03 Cem Bozsahin , Elvan Gocmen

This paper examines the characterization and learning of grammars defined with enriched representational models. Model-theoretic approaches to formal language theory traditionally assume that each position in a string belongs to exactly one…

形式语言与自动机理论 · 计算机科学 2019-06-25 Jane Chandlee , Remi Eyraud , Jeffrey Heinz , Adam Jardine , Jonathan Rawski

This paper, following (Dymetman:1998), presents an approach to grammar description and processing based on the geometry of cancellation diagrams, a concept which plays a central role in combinatorial group theory (Lyndon-Schuppe:1977). The…

计算与语言 · 计算机科学 2007-05-23 Marc Dymetman

We propose a new statistical model for computational linguistics. Rather than trying to estimate directly the probability distribution of a random sentence of the language, we define a Markov chain on finite sets of sentences with many…

机器学习 · 统计学 2013-02-12 Olivier Catoni , Thomas Mainguy

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…

形式语言与自动机理论 · 计算机科学 2015-03-02 Matilde Marcolli , Alexander Port

A group is combable if it can be represented by a language of words satisfying a fellow traveller property; an automatic group has a synchronous combing which is a regular language. This paper gives a systematic analysis of the properties…

群论 · 数学 2009-09-25 Sarah Rees

Dictionaries are inherently circular in nature. A given word is linked to a set of alternative words (the definition) which in turn point to further descendants. Iterating through definitions in this way, one typically finds that…

计算与语言 · 计算机科学 2011-03-14 David Levary , Jean-Pierre Eckmann , Elisha Moses , Tsvi Tlusty

These are lecture notes on the algebraic approach to regular languages. The classical algebraic approach is for finite words; it uses semigroups instead of automata. However, the algebraic approach can be extended to structures beyond…

形式语言与自动机理论 · 计算机科学 2020-08-27 Mikołaj Bojańczyk

For any context-free grammar, we build a transition diagram, that is, a finite directed graph with labeled arcs, which describes the work of the grammar. This approach is new, and it is different from previously known graph models. We…

形式语言与自动机理论 · 计算机科学 2013-05-30 Krasimir Yordzhev

Literal movement grammars (LMGs) provide a general account of extraposition phenomena through an attribute mechanism allowing top-down displacement of syntactical information. LMGs provide a simple and efficient treatment of complex…

cmp-lg · 计算机科学 2016-08-31 Annius V. Groenink

This paper proposes methods of predicting dynamic time series (including non-stationary ones) based on a linguistic approach, namely, the study of occurrences and repetition of so-called N-grams. This approach is used in computational…

数值分析 · 数学 2026-02-26 Dmytro Lande , Volodymyr Yuzefovych , Yevheniia Tsybulska