... grammars and observe that they are a context-free rewriting sys- tem. Linear Context-Free RewritingSystems Linear context-free rewritingsystems arose from the observation that a number ... lin- ear context-free rewriting systems. This paper shows how the class of string languages generated by linear context-free rewritingsystems relates to a number of other systems that have been ... linear context- free rewritingsystems and multicomponent tree ad- joining grammars [6] generate the same string lan- guages. The multiple context-free grammars of [7] are equivalent to linear...
... Negra corpus.Translation: After that coal dust had caught fire.2 Linear Context-Free Rewriting Systems Linear Context-Free RewritingSystems (LCFRS;Vijay-Shanker et al., 1987; Weir, 1988) subsumea ... Proceedings of IWPT, pages 104–116.Daniel Gildea. 2010. Optimal parsing strategiesfor linear context-free rewriting systems. InProceedings of NAACL HLT 2010., pages 769–776.Carlos G´omez-Rodr´ıguez, ... G´omez-Rodr´ıguez, Marco Kuhlmann, andGiorgio Satta. 2010. Efficient parsing of well-nested linear context-free rewriting systems. InProceedings of NAACL HLT 2010., pages 276–284.Carlos G´omez-Rodr´ıguez,...
... Independentparallelism in finite copying parallel rewriting sys-tems. Theoretical Computer Science, 223:87–120.Giorgio Satta. 1992. Recognition of linear context-free rewriting systems. In Proceedings of the ... of Information EngineeringUniversity of Padua, Italysatta@dei.unipd.itAbstract Linear Context-Free Rewriting Systems (LCFRSs) are a grammar formalism ca-pable of modeling discontinuous phrases.Many ... run-ning time improvement for known parsingalgorithms for this class.1 Introduction Linear Context-Free Rewriting Systems (LCFRSs) have been introduced by Vijay-Shanker et al. (1987) for modeling...
... conswained grammatical systems, and defined a class of such systems called Linear Context-Free RewritingSystems (LCFRS's). LCFRS's are constrained to have linear non- erasing composition ... as a 279 COMBINATORY CATEGORIAL GRAMMARS: GENERATIVE POWER AND RELATIONSHIP TO LINEAR CONTEXT-FREE REWRITING SYSTEMS& quot; David J. Weir Aravind K. Joshi Department of Computer and Information ... Categorial Grammars and com- pare them to those of grammar formalisms in the class of Linear Context-Free Rewriting Systems. We also discuss certain extensions of CombinaWry Categorial Grammars and...
... copying parallel rewriting sys-tems. Theor. Comput. Sci., 223(1-2):87–120.Benoˆıt Sagot and Giorgio Satta. 2010. Optimal rank re-duction for linear context-free rewritingsystems withfan-out ... G´omez-Rodr´ıguez, Marco Kuhlmann, and Gior-gio Satta. 2010. Efficient parsing of well-nested linear context-free rewriting systems. In Proc. 2010 Meetingof the North American chapter of the Association forComputational ... Linguistics,35(4):559–595.Laura Kallmeyer and Wolfgang Maier. 2010. Data-driven parsing with probabilistic linear context-free rewriting systems. In Proc. 23rd International Con-ference on Computational Linguistics (Coling...
... 2-7 August 2009.c2009 ACL and AFNLPAn Optimal-Time Binarization Algorithmfor Linear Context-Free RewritingSystems with Fan-Out TwoCarlos G´omez-Rodr´ıguezDepartamento de Computaci´onUniversidade ... of Information EngineeringUniversity of Padua, Italysatta@dei.unipd.itAbstract Linear context-free rewriting systems (LCFRSs) are grammar formalisms withthe capability of modeling discontinu-ous ... much effort to the developmentof formal systems for modeling the syntax of nat-ural language. There has been a considerable in-terest in rewritingsystems that enlarge the generat-ive power...
... r. Then each elementary step in the recognition of Pl can 93 RECOGNITION OF LINEAR CONTEXT-FREE REWRITING SYSTEMS* Giorgio Satta Institute for Research in Cognitive Science University ... for linear context-free rewriting languages. 1 INTRODUCTION Beginning with the late 70's, there has been a consid- erable interest within the computational linguistics field for rewriting ... in [Vijay- Shanker et al., 1987] and [Weir, 1988] with the in- troduction of linear context-free rewritingsystems (LCFRS) and in [Kasami et al., 1987] and [Seki et a/., 1989] with the...
... Agarwal, M Bohner, P Rehak, Half -linear dynamic equations. NonlinearAnal. Appl. 1, 1–56 (2003)[8] LQ Jiang, Z Zhou, Lyapunov inequality for linear Hamiltonian systems ontime scales. J. Math. ... Lyapunov for linear Hamil-tonian systems on time scales. J. Math. Anal. Appl. 381, 695–705 (2011)[11] GSh Guseinov, B Kaymakcalan, Lyapunov inequalities for discrete linear Hamiltonian systems. ... Stability criteria for linear periodic Hamiltonian systems. J. Math.Anal. Appl. 367, 329–336 (2010)[15] XH Tang, M Zhang, Lyapunov inequalities and stability for linear Hamil-tonian systems. J. Diff....
... Examples of Linear and Nonlinear Systems Table 5-1 provides examples of common linear and nonlinear systems. As yougo through the lists, keep in mind the mathematician's view of linearity(homogeneity, ... change.FourierDecompositionx[n]xC1[n]xC2[n]xC8[n]xS1[n]xS2[n]xS8[n]xC0[n]xS0[n]xC3[n]xS3[n]cosine wavessine wavesChapter 5- LinearSystems 95Table 5-1Examples of linear and nonlinear systems. Formally, linearsystems are defined by the propertiesof homogeneity, ... Alternatives to LinearityTo appreciate the importance of linear systems, consider that there is only onemajor strategy for analyzing systems that are nonlinear. That strategy is tomake the nonlinear...
... for conventional MIMO systems has been extensively studied invarious scenarios in the past decade [23–26].1.1.3 AF MIMO Relay Systems The benefits of multiple-antenna systems can be directly ... Relay Sys-tems: In this chapter, joint design of linear relay precoder and destinationequalizer for dual-hop non-regenerative AF MIMO-OFDM systems underchannel estimation errors is investigated. ... of the more complicated AF MIMO relay systems. Capacity bounds under different channel state information (CSI) assumptionsfor single-user AF MIMO relay systems have been derived in [27], [28]....
... the arithmetic mean.Section I. Solving LinearSystems 3works. The next example introduces that algorithm, called Gauss’ method (orGaussian elimination or linear elimination). It transforms the ... safe in that it never loses solutions or picks up extraneous solutions.32 Chapter One. Linear Systems II Linear Geometry of n-SpaceFor readers who have seen the elements of vectors before, in ... k 1.21 This system is not linear, in some sense,2 sin α − cos β + 3 tan γ = 34 sin α + 2 cos β − 2 tan γ = 106 sin α − 3 cos β + tan γ = 950 Chapter One. Linear Systems We think of these...
... endpoints k1, ,k2s∈{0, 1, ,N}; thisAnnals of Mathematics Isomonodromy transformations of linear systems of difference equations By Alexei Borodin ISOMONODROMY TRANSFORMATIONS1147probability ... closed path γ in C avoiding the singular points {xk} thenthe columns of Y will change into their linear combinations: Y →YMγ. HereMγis a constant invertible matrix which depends only on the ... classof γ. It is called the monodromy matrix corresponding to γ. The monodromymatrices define a linear representation of the fundamental group of C withn punctures. The basic isomonodromy problem...
... method to construct a well-posed linear system is to use oneor several well-posed linearsystems to construct a new one. The following40 Well-posed linear systems The easy proof of this lemma ... Actually, the splitting of A&B46 Well-posed linear systems 2.3 Basic examples of well-posed linear systems Our first example of a well-posed linear system is the one discussed in Section2.1:Proposition ... of various notionsknown from the theory of finite-dimensional systems to the setting of Lp-well-posed linear systems, and even to systems generated by arbitrary systemnodes. Some of the extensions...
... inThreeUnknowns447 Systems of Linear Inequalities in AnyNumberofUnknowns528.TheSolutionof a System of Linear Inequalities'bySuccessiveReduction oftheNumberofUnknowns579.Incompatible Systems ... tocarryouttheanalysis of these systems from.general positions, i.e. sothattheresultsobtainedmaybe easilyextended to systems in a largernumberofunknowns.Thesolutionofanysystem of linear inequalities ... inequalities is inthelongrunreduced tothesolutionof a numberof systems of linear equations.We shallregardthesolutionof a system of linear equationsassomethingsimple, as anelementaryoperation,andshallnotbeI...