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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume constitutes the proceedings of the 2nd International Joint C- ference on Automated Reasoning (IJCAR 2004) held July 4-8, 2004 in Cork, Ireland. IJCAR 2004 continued the tradition established at the rst IJCAR in Siena,Italyin2001,whichbroughttogetherdi erentresearchcommunitieswo- ing in automated reasoning. The current IJCAR is the fusion of the following conferences: CADE: The International Conference on Automated Deduction, CALCULEMUS: Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, FroCoS: Workshop on Frontiers of Combining Systems, FTP: The International Workshop on First-Order Theorem Proving, and TABLEAUX: The International Conference on Automated Reasoning with Analytic Tableaux and Related Methods. There were 74 research papers submitted to IJCAR as well as 12 system descriptions. After extensive reviewing, 26 research papers and 6 system - scriptions were accepted for presentation at the conference and publication in this volume. In addition, this volume also contains papers from the three invited speakers and a description of the CADE ATP system competition. We would like to acknowledge the enormous amount of work put in by the members of the program committee, the various organizing and steering c- mittees, the IJCAR o cials, the invited speakers, and the additional referees named on the following pages. We would also like to thank Achim Brucker and Barbara Geiser for their help in producing this volume.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 0. 1 Introduction Although the general optimal solution of the ltering problem for nonlinear state and observation equations confused with white Gaussian noises is given by the Kushner equation for the conditional density of an unobserved state with respect to obser- tions (see [48] or [41], Theorem 6. 5, formula (6. 79) or [70], Subsection 5. 10. 5, formula (5. 10. 23)), there are a very few known examples of nonlinear systems where the Ku- ner equation can be reduced to a nite-dimensional closed system of ltering eq- tions for a certain number of lower conditional moments. The most famous result, the Kalman-Bucy lter [42], is related to the case of linear state and observation equations, where only two moments, the estimate itself and its variance, form a closed system of ltering equations. However, the optimal nonlinear nite-dimensional lter can be - tained in some other cases, if, for example, the state vector can take only a nite number of admissible states [91] or if the observation equation is linear and the drift term in the 2 2 state equation satis es the Riccati equation df /dx + f = x (see [15]). The complete classi cation of the 'general situation' cases (this means that there are no special - sumptions on the structure of state and observation equations and the initial conditions), where the optimal nonlinear nite-dimensional lter exists, is given in [95].

Taschenbuch. Zustand: Neu. Neuware -0. 1 Introduction Although the general optimal solution of the ltering problem for nonlinear state and observation equations confused with white Gaussian noises is given by the Kushner equation for the conditional density of an unobserved state with respect to obser- tions (see [48] or [41], Theorem 6. 5, formula (6. 79) or [70], Subsection 5. 10. 5, formula (5. 10. 23)), there are a very few known examples of nonlinear systems where the Ku- ner equation can be reduced to a nite-dimensional closed system of ltering eq- tions for a certain number of lower conditional moments. The most famous result, the Kalman-Bucy lter [42], is related to the case of linear state and observation equations, where only two moments, the estimate itself and its variance, form a closed system of ltering equations. However, the optimal nonlinear nite-dimensional lter can be - tained in some other cases, if, for example, the state vector can take only a nite number of admissible states [91] or if the observation equation is linear and the drift term in the 2 2 state equation satis es the Riccati equation df /dx + f = x (see [15]). The complete classi cation of the ¿general situation¿ cases (this means that there are no special - sumptions on the structure of state and observation equations and the initial conditions), where the optimal nonlinear nite-dimensional lter exists, is given in [95].Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 236 pp. Englisch.

Taschenbuch. Zustand: Neu. Neuware -This volume constitutes the proceedings of the 2nd International Joint C- ference on Automated Reasoning (IJCAR 2004) held July 4¿8, 2004 in Cork, Ireland. IJCAR 2004 continued the tradition established at the rst IJCAR in Siena,Italyin2001,whichbroughttogetherdi erentresearchcommunitieswo- ing in automated reasoning. The current IJCAR is the fusion of the following conferences: CADE: The International Conference on Automated Deduction, CALCULEMUS: Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, FroCoS: Workshop on Frontiers of Combining Systems, FTP: The International Workshop on First-Order Theorem Proving, and TABLEAUX: The International Conference on Automated Reasoning with Analytic Tableaux and Related Methods. There were 74 research papers submitted to IJCAR as well as 12 system descriptions. After extensive reviewing, 26 research papers and 6 system - scriptions were accepted for presentation at the conference and publication in this volume. In addition, this volume also contains papers from the three invited speakers and a description of the CADE ATP system competition. We would like to acknowledge the enormous amount of work put in by the members of the program committee, the various organizing and steering c- mittees, the IJCAR o cials, the invited speakers, and the additional referees named on the following pages. We would also like to thank Achim Brucker and Barbara Geiser for their help in producing this volume. 512 pp. Englisch.

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