12 resultados para Determinism

em Universidad Politécnica de Madrid


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We describe the current status of and provide performance results for a prototype compiler of Prolog to C, ciaocc. ciaocc is novel in that it is designed to accept different kinds of high-level information, typically obtained via an automatic analysis of the initial Prolog program and expressed in a standardized language of assertions. This information is used to optimize the resulting C code, which is then processed by an off-the-shelf C compiler. The basic translation process essentially mimics the unfolding of a bytecode emulator with respect to the particular bytecode corresponding to the Prolog program. This is facilitated by a flexible design of the instructions and their lower-level components. This approach allows reusing a sizable amount of the machinery of the bytecode emulator: predicates already written in C, data definitions, memory management routines and áreas, etc., as well as mixing emulated bytecode with native code in a relatively straightforward way. We report on the performance of programs compiled by the current versión of the system, both with and without analysis information.

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We describe the current status of and provide preliminary performance results for a compiler of Prolog to C. The compiler is novel in that it is designed to accept different kinds of high-level information (typically obtained via an analysis of the initial Prolog program and expressed in a standardized language of assertions) and use this information to optimize the resulting C code, which is then further processed by an off-the-shelf C compiler. The basic translation process used essentially mimics an unfolding of a C-coded bytecode emúlator with respect to the particular bytecode corresponding to the Prolog program. Optimizations are then applied to this unfolded program. This is facilitated by a more flexible design of the bytecode instructions and their lower-level components. This approach allows reusing a sizable amount of the machinery of the bytecode emulator: ancillary pieces of C code, data definitions, memory management routines and áreas, etc., as well as mixing bytecode emulated code with natively compiled code in a relatively straightforward way We report on the performance of programs compiled by the current versión of the system, both with and without analysis information.

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We informally discuss several issues related to the parallel execution of logic programming systems and concurrent logic programming systems, and their generalization to constraint programming. We propose a new view of these systems, based on a particular definition of parallelism. We argüe that, under this view, a large number of the actual systems and models can be explained through the application, at different levéis of granularity, of only a few basic principies: determinism, non-failure, independence (also referred to as stability), granularity, etc. Also, and based on the convergence of concepts that this view brings, we sketch a model for the implementation of several parallel constraint logic programming source languages and models based on a common, generic abstract machine and an intermedíate kernel language.

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The interactions among three important issues involved in the implementation of logic programs in parallel (goal scheduling, precedence, and memory management) are discussed. A simplified, parallel memory management model and an efficient, load-balancing goal scheduling strategy are presented. It is shown how, for systems which support "don't know" non-determinism, special care has to be taken during goal scheduling if the space recovery characteristics of sequential systems are to be preserved. A solution based on selecting only "newer" goals for execution is described, and an algorithm is proposed for efficiently maintaining and determining precedence relationships and variable ages across parallel goals. It is argued that the proposed schemes and algorithms make it possible to extend the storage performance of sequential systems to parallel execution without the considerable overhead previously associated with it. The results are applicable to a wide class of parallel and coroutining systems, and they represent an efficient alternative to "all heap" or "spaghetti stack" allocation models.

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We informally discuss several issues related to the parallel execution of logic programming systems and concurrent logic programming systems, and their generalization to constraint programming. We propose a new view of these systems, based on a particular definition of parallelism. We argüe that, under this view, a large number of the actual systems and models can be explained through the application, at different levéis of granularity, of only a few basic principies: determinism, non-failure, independence (also referred to as stability), granularity, etc. Also, and based on the convergence of concepts that this view brings, we sketch a model for the implementation of several parallel constraint logic programming source languages and models based on a common, generic abstract machine and an intermedíate kernel language.

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Con el surgir de los problemas irresolubles de forma eficiente en tiempo polinomial en base al dato de entrada, surge la Computación Natural como alternativa a la computación clásica. En esta disciplina se trata de o bien utilizar la naturaleza como base de cómputo o bien, simular su comportamiento para obtener mejores soluciones a los problemas que los encontrados por la computación clásica. Dentro de la computación natural, y como una representación a nivel celular, surge la Computación con Membranas. La primera abstracción de las membranas que se encuentran en las células, da como resultado los P sistemas de transición. Estos sistemas, que podrían ser implementados en medios biológicos o electrónicos, son la base de estudio de esta Tesis. En primer lugar, se estudian las implementaciones que se han realizado, con el fin de centrarse en las implementaciones distribuidas, que son las que pueden aprovechar las características intrínsecas de paralelismo y no determinismo. Tras un correcto estudio del estado actual de las distintas etapas que engloban a la evolución del sistema, se concluye con que las distribuciones que buscan un equilibrio entre las dos etapas (aplicación y comunicación), son las que mejores resultados presentan. Para definir estas distribuciones, es necesario definir completamente el sistema, y cada una de las partes que influyen en su transición. Además de los trabajos de otros investigadores, y junto a ellos, se realizan variaciones a los proxies y arquitecturas de distribución, para tener completamente definidos el comportamiento dinámico de los P sistemas. A partir del conocimiento estático –configuración inicial– del P sistema, se pueden realizar distribuciones de membranas en los procesadores de un clúster para obtener buenos tiempos de evolución, con el fin de que la computación del P sistema sea realizada en el menor tiempo posible. Para realizar estas distribuciones, hay que tener presente las arquitecturas –o forma de conexión– de los procesadores del clúster. La existencia de 4 arquitecturas, hace que el proceso de distribución sea dependiente de la arquitectura a utilizar, y por tanto, aunque con significativas semejanzas, los algoritmos de distribución deben ser realizados también 4 veces. Aunque los propulsores de las arquitecturas han estudiado el tiempo óptimo de cada arquitectura, la inexistencia de distribuciones para estas arquitecturas ha llevado a que en esta Tesis se probaran las 4, hasta que sea posible determinar que en la práctica, ocurre lo mismo que en los estudios teóricos. Para realizar la distribución, no existe ningún algoritmo determinista que consiga una distribución que satisfaga las necesidades de la arquitectura para cualquier P sistema. Por ello, debido a la complejidad de dicho problema, se propone el uso de metaheurísticas de Computación Natural. En primer lugar, se propone utilizar Algoritmos Genéticos, ya que es posible realizar alguna distribución, y basada en la premisa de que con la evolución, los individuos mejoran, con la evolución de dichos algoritmos, las distribuciones también mejorarán obteniéndose tiempos cercanos al óptimo teórico. Para las arquitecturas que preservan la topología arbórea del P sistema, han sido necesarias realizar nuevas representaciones, y nuevos algoritmos de cruzamiento y mutación. A partir de un estudio más detallado de las membranas y las comunicaciones entre procesadores, se ha comprobado que los tiempos totales que se han utilizado para la distribución pueden ser mejorados e individualizados para cada membrana. Así, se han probado los mismos algoritmos, obteniendo otras distribuciones que mejoran los tiempos. De igual forma, se han planteado el uso de Optimización por Enjambres de Partículas y Evolución Gramatical con reescritura de gramáticas (variante de Evolución Gramatical que se presenta en esta Tesis), para resolver el mismo cometido, obteniendo otro tipo de distribuciones, y pudiendo realizar una comparativa de las arquitecturas. Por último, el uso de estimadores para el tiempo de aplicación y comunicación, y las variaciones en la topología de árbol de membranas que pueden producirse de forma no determinista con la evolución del P sistema, hace que se deba de monitorizar el mismo, y en caso necesario, realizar redistribuciones de membranas en procesadores, para seguir obteniendo tiempos de evolución razonables. Se explica, cómo, cuándo y dónde se deben realizar estas modificaciones y redistribuciones; y cómo es posible realizar este recálculo. Abstract Natural Computing is becoming a useful alternative to classical computational models since it its able to solve, in an efficient way, hard problems in polynomial time. This discipline is based on biological behaviour of living organisms, using nature as a basis of computation or simulating nature behaviour to obtain better solutions to problems solved by the classical computational models. Membrane Computing is a sub discipline of Natural Computing in which only the cellular representation and behaviour of nature is taken into account. Transition P Systems are the first abstract representation of membranes belonging to cells. These systems, which can be implemented in biological organisms or in electronic devices, are the main topic studied in this thesis. Implementations developed in this field so far have been studied, just to focus on distributed implementations. Such distributions are really important since they can exploit the intrinsic parallelism and non-determinism behaviour of living cells, only membranes in this case study. After a detailed survey of the current state of the art of membranes evolution and proposed algorithms, this work concludes that best results are obtained using an equal assignment of communication and rules application inside the Transition P System architecture. In order to define such optimal distribution, it is necessary to fully define the system, and each one of the elements that influence in its transition. Some changes have been made in the work of other authors: load distribution architectures, proxies definition, etc., in order to completely define the dynamic behaviour of the Transition P System. Starting from the static representation –initial configuration– of the Transition P System, distributions of membranes in several physical processors of a cluster is algorithmically done in order to get a better performance of evolution so that the computational complexity of the Transition P System is done in less time as possible. To build these distributions, the cluster architecture –or connection links– must be considered. The existence of 4 architectures, makes that the process of distribution depends on the chosen architecture, and therefore, although with significant similarities, the distribution algorithms must be implemented 4 times. Authors who proposed such architectures have studied the optimal time of each one. The non existence of membrane distributions for these architectures has led us to implement a dynamic distribution for the 4. Simulations performed in this work fix with the theoretical studies. There is not any deterministic algorithm that gets a distribution that meets the needs of the architecture for any Transition P System. Therefore, due to the complexity of the problem, the use of meta-heuristics of Natural Computing is proposed. First, Genetic Algorithm heuristic is proposed since it is possible to make a distribution based on the premise that along with evolution the individuals improve, and with the improvement of these individuals, also distributions enhance, obtaining complexity times close to theoretical optimum time. For architectures that preserve the tree topology of the Transition P System, it has been necessary to make new representations of individuals and new algorithms of crossover and mutation operations. From a more detailed study of the membranes and the communications among processors, it has been proof that the total time used for the distribution can be improved and individualized for each membrane. Thus, the same algorithms have been tested, obtaining other distributions that improve the complexity time. In the same way, using Particle Swarm Optimization and Grammatical Evolution by rewriting grammars (Grammatical Evolution variant presented in this thesis), to solve the same distribution task. New types of distributions have been obtained, and a comparison of such genetic and particle architectures has been done. Finally, the use of estimators for the time of rules application and communication, and variations in tree topology of membranes that can occur in a non-deterministic way with evolution of the Transition P System, has been done to monitor the system, and if necessary, perform a membrane redistribution on processors to obtain reasonable evolution time. How, when and where to make these changes and redistributions, and how it can perform this recalculation, is explained.

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We consider the problem of supporting goal-level, independent andparallelism (IAP) in the presence of non-determinism. IAP is exploited when two or more goals which will not interfere at run time are scheduled for simultaneous execution. Backtracking over non-deterministic parallel goals runs into the wellknown trapped goal and garbage slot problems. The proposed solutions for these problems generally require complex low-level machinery which makes systems difficult to maintain and extend, and in some cases can even affect sequential execution performance. In this paper we propose a novel solution to the problem of trapped nondeterministic goals and garbage slots which is based on a single stack reordering operation and offers several advantages over previous proposals. While the implementation of this operation itself is not simple, in return it does not impose constraints on the scheduler. As a result, the scheduler and the rest of the run-time machinery can safely ignore the trapped goal and garbage slot problems and their implementation is greatly simplified. Also, standard sequential execution remains unaffected. In addition to describing the solution we report on an implementation and provide performance results. We also suggest other possible applications of the proposed approach beyond parallel execution.

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Stereo video techniques are effective for estimating the space–time wave dynamics over an area of the ocean. Indeed, a stereo camera view allows retrieval of both spatial and temporal data whose statistical content is richer than that of time series data retrieved from point wave probes. We present an application of the Wave Acquisition Stereo System (WASS) for the analysis of offshore video measurements of gravity waves in the Northern Adriatic Sea and near the southern seashore of the Crimean peninsula, in the Black Sea. We use classical epipolar techniques to reconstruct the sea surface from the stereo pairs sequentially in time, viz. a sequence of spatial snapshots. We also present a variational approach that exploits the entire data image set providing a global space–time imaging of the sea surface, viz. simultaneous reconstruction of several spatial snapshots of the surface in order to guarantee continuity of the sea surface both in space and time. Analysis of the WASS measurements show that the sea surface can be accurately estimated in space and time together, yielding associated directional spectra and wave statistics at a point in time that agrees well with probabilistic models. In particular, WASS stereo imaging is able to capture typical features of the wave surface, especially the crest-to-trough asymmetry due to second order nonlinearities, and the observed shape of large waves are fairly described by theoretical models based on the theory of quasi-determinism (Boccotti, 2000). Further, we investigate space–time extremes of the observed stationary sea states, viz. the largest surface wave heights expected over a given area during the sea state duration. The WASS analysis provides the first experimental proof that a space–time extreme is generally larger than that observed in time via point measurements, in agreement with the predictions based on stochastic theories for global maxima of Gaussian fields.

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The Go game is ancient very complex game with simple rules which still is a challenge for the AI.This work cover some neuroevolution techniques used in reinforcement learning applied to the GO game as SANE (Symbiotic Adaptive Neuro-Evolution) and presents a variation to this method with the intention of evolving better strategies in the game. The computer Go player based in SANE is evolved againts a knowed player which creates some problem as determinism for which is proposed the co-evolution. Finally, it is introduced an algorithm to co-evolve two populations of neurons to evolve better computer Go players.

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Membrane computing is a recent area that belongs to natural computing. This field works on computational models based on nature's behavior to process the information. Recently, numerous models have been developed and implemented with this purpose. P-systems are the structures which have been defined,developed and implemented to simulate the behavior and the evolution of membrane systems which we find in nature. What we show in this paper is a new model that deals with encrypted information which provides security the membrane systems communication. Moreover we find non deterministic and random applications in nature that are suitable to MEIA systems. The inherent parallelism and non determinism make this applications perfect object to implement MEIA systems.

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Esta tesis estudia el papel de la metáfora como instrumento arquitectónico en el debate y las propuestas para superar la ortodoxia de la arquitectura moderna a partir de mediados del siglo XX. En arquitectura, la utilización del procedimiento que constituye la metáfora se apoya en una consideración semántica de la arquitectura y se ha usado constantemente a lo largo de la historia para desarrollar nuevas propuestas, basándose en la comparación con modelos conocidos. En este trabajo se examina la notable presencia que adquirió este instrumento en las propuestas críticas a la arquitectura moderna ortodoxa, debido a la importancia que tuvieron los aspectos semánticos en el debate sobre la continuidad y vigencia de los postulados de la arquitectura moderna. Con este estudio se ha indagado sobre las razones y la frecuencia con las que aquellos arquitectos que adoptaron una actitud crítica hacia la arquitectura moderna se refirieron a las relaciones metafóricas en sus propuestas alternativas. Para mostrar cómo las metáforas formaron parte de los mecanismos de cambio de la arquitectura en este periodo, recuperando un mayor potencial creativo para abordar los proyectos arquitectónicos, se han estudiado una serie de ejemplos pertinentes y relevantes. En cada uno de los capítulos se han analizado las objeciones más importantes que fueron planteadas frente a la arquitectura moderna por un arquitecto o grupo de arquitectos, seleccionados entre aquéllos que tomaron parte en este debate, y se estudia la inclusión de la metáfora en las alternativas que propusieron en cada caso. Además de una actitud crítica con la arquitectura moderna, todos los arquitectos seleccionados comparten una consideración semántica de la arquitectura y han expuesto sus ideas y posturas tanto en obras proyectadas y construidas, como en escritos o comentarios sobre su manera de entender y proyectar arquitectura. Esta doble producción ha permitido analizar, comparativamente, el papel de la metáfora en sus enfoques y propuestas críticas y en la realización de sus obras como alternativas a las mismas. Al mismo tiempo, la investigación profundiza en el conocimiento de la utilización de la metáfora como herramienta arquitectónica. A través del recorrido por las distintas maneras de entender este instrumento que pueden observarse en algunos de los arquitectos de la segunda mitad del siglo XX, se exponen tanto las posibilidades como los aspectos más críticos de la utilización de la metáfora en arquitectura. La variada utilización de la noción de metáfora en arquitectura se ve reflejada en las diversas consideraciones que hacen de la misma los arquitectos estudiados. La tesis se ha ocupado de distinguir cada uno de estos enfoques, haciéndose eco de la pluralidad con la que puede abordarse el concepto de metáfora de manera general y en arquitectura en particular. Así, algunos arquitectos del Team 10, la utilizan como un instrumento de ampliación y renovación semántica de la arquitectura moderna, que propone una síntesis de lo viejo y lo nuevo. Para Robert Venturi, se trata de un recurso con capacidad de persuadir y recrear, renovando semánticamente la arquitectura. Charles Jencks considera que es un procedimiento semántico esencial de la arquitectura, olvidado por los arquitectos modernos, cuya recuperación supone un rasgo diferencial de la arquitectura posmoderna respecto a la moderna. Para Aldo Rossi, es una manera de materializar las relaciones analógicas que constituyen su propuesta para proyectar una arquitectura de racionalismo exaltado frente a un racionalismo convencional. Peter Eisenman la valora porque inventa otras arquitecturas diferentes a las preconcebidas anteriormente, a pesar de que rechaza su capacidad representativa y expresiva. Rafael Moneo la utiliza para contraponerse al determinismo, como instrumento de innovación de la forma arquitectónica que construye una dinámica entre la contingencia y la necesidad. Finalmente, para Frank Gehry supone un procedimiento creativo y subjetivo con el que enfrentarse tanto a la arquitectura moderna como a la posmoderna con una arquitectura nueva y abierta a referencias inusuales. De esta manera, a través de los distintos capítulos, el estudio pretende componer un mosaico de posturas que manifieste los vínculos y las diferencias existentes entre estos arquitectos con relación a los temas estudiados: crítica y alternativas a la arquitectura moderna, semántica de la arquitectura, metáfora y otros conceptos relacionados. A su vez, la aparición continuada de la metáfora en los diferentes capítulos, y de los temas con los que está relacionada, manifiesta el protagonismo de esta herramienta arquitectónica en las propuestas de evolución y cambio de la arquitectura del periodo estudiado. ABSTRACT This thesis studies the role of the metaphor as an architectural tool in the debate and proposals to overcome the orthodoxy of modern architecture that took place since the middle part of the Twentieth Century. In architecture, the usage of the process which the metaphor constitutes is based in a semantic consideration of architecture and historically it has been used many times to develop new proposals, always based in the comparison with known models. This work examines the significant presence that this tool acquired in the proposals critical with orthodox modern architecture, due to the importance that the semantic aspects had in the debate on the continuity and validity of modern architecture’s postulates. This study also looks into the motives and frequency that those architects which adopted a critical attitude towards modern architecture alluded to the metaphorical relations in their alternative proposals. To demonstrate how during that period metaphors were imbued in the mechanisms of change of architecture, recovering a higher creative potential to approach architectural projects, a series of pertinent and relevant examples are studied. Each chapter examines the most important objections on modern architecture made by an architect or group of architects, selected among those who participated in this debate, and studies the inclusion of metaphor in the alternatives proposed in each case. Besides a critical attitude towards modern architecture, all the selected architects share a semantic consideration of architecture and have exposed their ideas and postures through projected and finalized works as in writings or commentaries on their way of understanding and projecting architecture. This double production allowed to analyse, in a comparatively manner, the role of metaphor in their approaches and critical proposals as in the execution of their works. At the same time, the research conducted further analyses the body of knowledge on the usage of metaphor as an architectural tool. By looking over the different ways some of the architects of the second half of the Twentieth Century understood this tool, both the possibilities and the most critical aspects of the usage of the metaphor in architecture can be exposed. The various usages of the notion of metaphor in architecture are reflected in the multiple considerations done about it by the selected architects. This thesis differentiates each one of those approaches, echoing the plurality with which the concept of metaphor can be addressed both in broader terms and more particularly in architecture. In this sense, some architects of Team 10 used it as a mean of semantic extension and renewal of modern architecture, proposing a synthesis between the old and the new. For Robert Venturi it is a resource with the capacity to persuade and recreate, semantically renewing architecture. Charles Jencks considers it an essential semantic procedure of architecture, forgotten by the modern architects, and which recovery represents a differential trait of post-modern architecture in relation to modern architecture. For Aldo Rossi, is a way of materializing the analogical relations which represent his proposal to project architecture of exalted rationalism as opposed to a more conventional rationalism. Peter Eisenman values it because it invents other architectures different from the preconceived before, even if he refuses its representational and expressive capacity. Rafael Moneo uses it to counter determinism, as an innovation tool of the architectonical form which generates dynamics between contingency and necessity. Finally, for Frank Gehry it supposes a creative and subjective process to face both modern architecture and post-modern architecture with a new architecture open to unusual references. As such, through its different chapters, this study aims to compose a mosaic of postures which expresses the links and the differences between those architects in relation to the topics examined: criticism and alternatives to modern architecture, semantics of architecture, metaphor and other related concepts. At the same time, the continuous presence of the metaphor in the different chapters, and of the issues it relates to, shows the importance of this tool in the proposals of evolution and change of architecture in the period considered.

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El espacio geográfico, entendido como territorio que da soporte a la vida y a la civilización, ha estado siempre fuertemente supeditado a la presencia de agua. Desde la Prehistoria el hombre otorgó al agua, junto a otros elementos que aseguraban o protegían su vida, un valor superior, por encima de lo humano. Paralelamente y de manera natural, el jardín, en sus inicios en estrecha relación con la agricultura y con el paisaje, fue el ámbito idóneo para la creación de nuevas formas acuáticas artificiales. Este proceso dio lugar a un extenso repertorio de formas compositivas que parece que tuvo en el Renacimiento un punto de inflexión, en el que se observa como la mayoría de recursos y configuraciones básicas del agua estaban ya plenamente establecidas. Esta evolución y sus resultados ha sido el objeto de la primera parte de la tesis: su objetivo ha sido analizar cómo el agua configura, cualifica o puede llegar a construir el jardín y el territorio en el que se inserta, así como establecer las posibles relaciones entre estos dos ámbitos de estudio. Aunque la historia es su fundamento, el planteamiento aquí ha sido más bien conceptual; estudiando los componentes acuáticos desde un punto de vista fundamentalmente compositivo. Esta indagación previa ha sido indispensable para llegar a entender en profundidad los modos en los que el agua se muestra en el jardín y en el paisaje renacentista y manierista, momentos en que se insertan los dos casos de estudio que constituyen la segunda parte de la tesis. Sin caer en un determinismo geográfico extremo, puede admitirse que el jardín, como manifestación cultural intrínsecamente ligada al entorno, depende fuertemente del territorio en el que se asienta; hecho particularmente evidente en aquellas regiones en las que su especial geografía ha sido un claro factor condicionante de su historia. Por ello, Holanda y España han sido las dos localizaciones elegidas para profundizar en este estudio; no tanto por su estrecha relación política y cultural, sino por su profundo y sugerente contraste de medio físico y climático. La Península Ibérica, geográficamente el término del mundo conocido en Occidente hasta el final de la Edad Media, y por esta circunstancia convertida en destino, en territorio de permanencia y fusión, estará además supeditada en la mayoría de su territorio a la falta de agua, siendo a la vez heredera directa del universo y la tradición del jardín meridional originario de Oriente. En el extremo opuesto, Holanda, espacio de transición entre el mar y la tierra firme “real”, es un territorio permeado de humedad y surcado con generosidad por grandes ríos. El país, con una relación ambivalente con el agua, unas veces como amenaza y otras como fuente de nuevas oportunidades, será por el contrario especialmente favorable para el desarrollo de un modelo de jardín septentrional. Un jardín del norte, que no obstante, no surgirá de despejar los bosques, como en el arquetipo nórdico, sino que crecerá sobre planicies antes saturadas de agua o directamente anegadas. El marco temporal de los dos casos concretos ha considerado como fecha inicial 1548, momento en el que Felipe II, aún príncipe, realizó su primer viaje a los Países Bajos, y entró en contacto con el modelo holandés. La extensa producción posterior de jardines de Felipe II, siempre con el agua como protagonista, tuvo como destacado referente la adaptación al suelo y la geografía hispánicos de dicho modelo. Como fecha final se fija 1648, justo un siglo después, fecha coincidente con la firma de la Paz de Westfalia, tratado que supone la total reorganización política del territorio europeo y la pérdida de la hegemonía española en Europa. En Holanda sólo dos años después nacerá Guillermo III de Orange, estatúder de las Provincias Unidas, también futuro rey de Inglaterra, Escocia e Irlanda. Para entonces en Holanda ya se había asistido al desarrollo de un arte propio de jardín, íntimamente ligado al agua, sorprendentemente no demasiado bien conocido y que será uno de los temas de esta investigación. Finalmente, se propone una lectura conjunta de toda esta serie de intervenciones que tienen como argumento el agua, en la que se integra la información procedente de distintos campos de estudio, cada una con su metodología particular. El resultado es una tesis en la que el jardín y el territorio son tratados desde un nuevo y enriquecedor punto de vista. ABSTRACT Geographical space, understood as the territory that provides support to human life and civilization, has always been strongly subjected to the presence of water. From Prehistory man gave to water, along with other elements that ensured or protected life, a higher value than the merely human. At the same time and in a natural way, the garden, in its beginnings with a close relationship with agriculture and landscape, soon developed as the appropriate ground for the creation of new artificial aquatic forms, in a process that seems to have a turning point in the Renaissance, when most of the basic waterworks and resources were already fully established. This development and its outcomes are the subjects of the first part of the thesis: its scope has been to analyse how water configures, qualifies and might even help to construct the garden or landscape attached to it; and to establish the possible links between these two fields of study. Although history based, the point of view here is mainly conceptual, studying the water components understood as composite elements. This exploratory research has been essential to deeply understand the water patterns shown in the Renaissance and Mannerist garden and landscape, periods in which the two case studies are inserted. Without falling in extreme determinism, it can be accepted however, that garden, as a cultural expression linked to environment, is strongly dependant on territorial setting; something particularly evident in those areas where specific geography has been a clear history conditioning factor. This is the reason that leads to choose the Netherlands and Spain to deepen this study, no so much for their interesting cultural and politics relations as for the suggestive and profound contrast of their physical environment and climate. The Iberian Peninsula, geographically the limit of the known world in Occident until the end of the Medium Age, and by this circumstance understood as endpoint, more a destination than a crossroad, a territory of permanence and fusion, but also subjected to water shortage; is thus associated with the universe and tradition of the meridional garden imported from Orient. In the opposite, the Netherlands, a transitional space between the sea and the “real” firm land, is a territory permeated by water and crossed by big rivers. Always with an ambivalent relationship with water, sometimes seen as a threat and sometimes as a source of new opportunities, it was in the other hand the adequate land for the development of a special model of Northern garden. A garden that will not arise, however, from the clearing of woods as in the Nordic archetype, but that will grow on plains originally saturated of water or directly waterlogged. The timeframe of the two cases has 1548 as the initial year, moment in which Philip II, yet prince, made his first trip to the Low Lands and imbibed the Dutch garden model. The later and bountiful garden works of the king, always with the water as the main focus, adapted the imported model to the Spanish ground and geography. The final date is fixed in 1648, just a century after, in coincidence with the Westfalia Peace; a treaty that implied the total political reorganization of the European territory and the end of the Spanish hegemony in the continent. In Holland, only two years later, William III of Orange, Stadtholder of the United Provinces and also future king of England, Scotland and Ireland, was born. But by then the Netherlands had developed an own garden art, closely linked to water. This type garden, surprisingly not very well known, and its relationship with water, will be other of the addressing questions of this work. Finally, the investigation merges the different interventions that have water as an argument, integrating all the fields considered with their particular methodological approaches. The final result is a thesis in which garden and territory are treated from a new and enriching perspective.