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Algorithmic Learning Theory
Algorithmic learning theory is mathematics about computer programs which learn from experience. This involves considerable interaction between various mathematical disciplines including theory of computation, statistics, and c- binatorics. There is also considerable interaction with the practical, empirical ?elds of machine and statistical learning in which a principal aim is to predict, from past data about phenomena, useful features of future data from the same phenomena. The papers in this volume cover a broad range of topics of current research in the ?eld of algorithmic learning theory. We have divided the 29 technical, contributed papers in this volume into eight categories (correspond...
Logical Foundations of Computer Science
A Sobolev gradient of a real-valued functional is a gradient of that functional taken relative to the underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. Equal emphasis is placed on numerical and theoretical matters. Several concrete applications are made to illustrate the method. These applications include (1) Ginzburg-Landau functionals of superconductivity, (2) problems of transonic flow in which type depends locally on nonlinearities, and (3) minimal surface problems. Sobolev gradient constructions rely on a study of orthogonal projections onto graphs of closed densely defined linear transformations from one Hilbert space to another. These developments use work of Weyl, von Neumann and Beurling.
Functional and Logic Programming
This book constitutes the refereed proceedings of the 8th International Symposium on Functional and Logic Programming, FLOPS 2006, held in Fuji-Susono, Japan, in April 2006. The 17 revised full papers presented together with 2 invited contributions were carefully reviewed and selected from 51 submissions. The papers are organized in topical sections on data types, FP extensions, type theory, LP extensions, analysis, contracts, as well as Web and GUI.
Proofs and Computations
Driven by the question, 'What is the computational content of a (formal) proof?', this book studies fundamental interactions between proof theory and computability. It provides a unique self-contained text for advanced students and researchers in mathematical logic and computer science. Part I covers basic proof theory, computability and Gödel's theorems. Part II studies and classifies provable recursion in classical systems, from fragments of Peano arithmetic up to Π11–CA0. Ordinal analysis and the (Schwichtenberg–Wainer) subrecursive hierarchies play a central role and are used in proving the 'modified finite Ramsey' and 'extended Kruskal' independence results for PA and Π11–CA0. Part III develops the theoretical underpinnings of the first author's proof assistant MINLOG. Three chapters cover higher-type computability via information systems, a constructive theory TCF of computable functionals, realizability, Dialectica interpretation, computationally significant quantifiers and connectives and polytime complexity in a two-sorted, higher-type arithmetic with linear logic.
Computer Science Logic
This book constitutes the refereed proceedings of the 15th International Workshop on Computer Science Logic, CSL 2001, held as the 10th Annual Conerence of the EACSL in Paris, France in September 2001. The 39 revised full papers presented together with two invited papers were carefully reviewed and selected from 91 submissions. The papers are organized in topical sections on linear logic, descriptive complexity, semantics, higher-order programs, model logics, verification, automata, lambda calculus, induction, equational calculus, and constructive theory of types.
Foundations of Software Science and Computational Structures
This book constitutes the refereed proceedings of the 8th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2005, held in Edinburgh, UK in April 2005 as part of ETAPS. The 30 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 108 submissions. The papers are organized in topical sections on rule formats and bisimulation, probabilistic models, algebraic models, games and automata, language analysis, partial order models, logics, coalgebraic modal logics, and computational models.
Computer Science Logic
This book constitutes the refereed proceedings of the 15th International Workshop on Computer Science Logic, CSL 2001, held as the 10th Annual Conerence of the EACSL in Paris, France in September 2001. The 39 revised full papers presented together with two invited papers were carefully reviewed and selected from 91 submissions. The papers are organized in topical sections on linear logic, descriptive complexity, semantics, higher-order programs, model logics, verification, automata, lambda calculus, induction, equational calculus, and constructive theory of types.
Term Rewriting and Applications
This volume contains the proceedings of the 16th International Conference on Rewriting Techniques and Applications (RTA2005),whichwasheldonApril19– 21, 2005, at the Nara-Ken New Public Hall in the center of the Nara National Park in Nara, Japan. RTA is the major forum for the presentation of research on all aspects of rewriting.PreviousRTAconferenceswereheldinDijon(1985),Bordeaux(1987), Chapel Hill (1989), Como (1991), Montreal (1993), Kaiserslautern (1995), Rutgers (1996), Sitges (1997), Tsukuba (1998), Trento (1999), Norwich (2000), Utrecht (2001), Copenhagen (2002), Valencia (2003), and Aachen (2004). This year, there were 79 submissions from 20 countries, of which 31 papers were accept...
Theory and Applications of Models of Computation
This book constitutes the refereed proceedings of the 11th Annual Conference on Theory and Applications of Models of Computation, TAMC 2014, held in Chennai, India, in April 2014. The 27 revised full papers presented were carefully reviewed and selected from 112 submissions. The papers explore the algorithmic foundations, computational methods and computing devices to meet today's and tomorrow's challenges of complexity, scalability and sustainability, with wide-ranging impacts on everything from the design of biological systems to the understanding of economic markets and social networks.
Logic for Programming and Automated Reasoning
This book constitutes the refereed proceedings of the 7th International Conference on Logic for Programming and Automated Reasoning, LPAR 2000, held in Reunion Island, France in November 2000. The 26 revised full papers presented together with four invited contributions were carefully reviewed and selected from 65 submissions. The papers are organized in topical sections on nonmonotonic reasoning, descriptive complexity, specification and automatic proof-assistants, theorem proving, verification, logic programming and constraint logic programming, nonclassical logics and the lambda calculus, logic and databases, program analysis, mu-calculus, planning and reasoning about actions.
