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Author: James G. Williams Publisher: Springer Science & Business Media ISBN: 9783540543336 Category : Computers Languages : en Pages : 148
Book Description
Instantiation Theory presents a new, general unification algorithm that is of immediate use in building theorem provers and logic programming systems. Instantiation theory is the study of instantiation in an abstract context that is applicable to most commonly studied logical formalisms. The volume begins with a survey of general approaches to the study of instantiation, as found in tree systems, order-sorted algebras, algebraic theories, composita, and instantiation systems. A classification of instantiation systems is given, based on properties of substitutions, degree of type strictness, and well-foundedness of terms. Equational theories and the use of typed variables are studied in terms of quotient homomorphisms and embeddings, respectively. Every instantiation system is a quotient system of a subsystem of first-order term instantiation. The general unification algorithm is developed as an application of the basic theory. Its soundness is rigorously proved, and its completeness and efficiency are verfied for certain classes of instantiation systems. Appropriate applications of the algorithm include unification of first-order terms, order-sorted terms, and first-order formulas modulo alpha-conversion, as well as equational unification using simple congruences.
Author: James G. Williams Publisher: Springer Science & Business Media ISBN: 9783540543336 Category : Computers Languages : en Pages : 148
Book Description
Instantiation Theory presents a new, general unification algorithm that is of immediate use in building theorem provers and logic programming systems. Instantiation theory is the study of instantiation in an abstract context that is applicable to most commonly studied logical formalisms. The volume begins with a survey of general approaches to the study of instantiation, as found in tree systems, order-sorted algebras, algebraic theories, composita, and instantiation systems. A classification of instantiation systems is given, based on properties of substitutions, degree of type strictness, and well-foundedness of terms. Equational theories and the use of typed variables are studied in terms of quotient homomorphisms and embeddings, respectively. Every instantiation system is a quotient system of a subsystem of first-order term instantiation. The general unification algorithm is developed as an application of the basic theory. Its soundness is rigorously proved, and its completeness and efficiency are verfied for certain classes of instantiation systems. Appropriate applications of the algorithm include unification of first-order terms, order-sorted terms, and first-order formulas modulo alpha-conversion, as well as equational unification using simple congruences.
Author: Howard Bowman Publisher: Springer Science & Business Media ISBN: 1846283361 Category : Computers Languages : en Pages : 444
Book Description
Intheworldweliveinconcurrencyisthenorm.Forexample,thehumanbody isamassivelyconcurrentsystem,comprisingahugenumberofcells,allsim- taneously evolving and independently engaging in their individual biological processing.Inaddition,inthebiologicalworld,trulysequentialsystemsrarely arise. However, they are more common when manmade artefacts are cons- ered. In particular, computer systems are often developed from a sequential perspective. Why is this? The simple reason is that it is easier for us to think about sequential, rather than concurrent, systems. Thus, we use sequentiality as a device to simplify the design process. However, the need for increasingly powerful, ?exible and usable computer systems mitigates against simplifying sequentiality assumptions. A good - ample of this is the all-powerful position held by the Internet, which is highly concurrent at many di?erent levels of decomposition. Thus, the modern c- puter scientist (and indeed the modern scientist in general) is forced to think aboutconcurrentsystemsandthesubtleandintricatebehaviourthatemerges from the interaction of simultaneously evolving components. Over a period of 25 years, or so, the ?eld of concurrency theory has been involved in the development of a set of mathematical techniques that can help system developers to think about and build concurrent systems. These theories are the subject matter of this book.
Author: Maksym Bortin Publisher: Logos Verlag Berlin GmbH ISBN: 3832525025 Category : Computers Languages : en Pages : 235
Book Description
General purpose theorem provers provide sophisticated proof methods, and become valuable tools in, e.g. formal software development. Of particular interest here are proof systems with the LCF architecture, developing large theories from a small logical kernel, because this approach simplifies the validation of derived results. On the other hand, such provers often lack some of advanced structuring mechanisms found in specification languages. This thesis firstly gives a formal foundation for a seamless extension of a logical framework by similar mechanisms, and secondly presents an elaborated case study in the LCF-style theorem prover Isabelle, employing the introduced concepts of morphisms and instantiation of theories in-the-large.
Author: Andrew Newman Publisher: Cambridge University Press ISBN: 1139434276 Category : Philosophy Languages : en Pages : 265
Book Description
This work presents a version of the correspondence theory of truth based on Wittgenstein's Tractatus and Russell's theory of truth and discusses related metaphysical issues such as predication, facts and propositions. Like Russell and one prominent interpretation of the Tractatus it assumes a realist view of universals. Part of the aim is to avoid Platonic propositions, and although sympathy with facts is maintained in the early chapters, the book argues that facts as real entities are not needed. It includes discussion of contemporary philosophers such as David Armstrong, William Alston and Paul Horwich, as well as those who write about propositions and facts, and a number of students of Bertrand Russell. It will interest teachers and advanced students of philosophy who are interested in the realistic conception of truth and in issues in metaphysics related to the correspondence theory of truth, and those interested in Russell and the Tractatus.
Author: Gabriele Galluzzo Publisher: Cambridge University Press ISBN: 1316381277 Category : Philosophy Languages : en Pages : 243
Book Description
Are there any universal entities? Or is the world populated only by particular things? The problem of universals is one of the most fascinating and enduring topics in the history of metaphysics, with roots in ancient and medieval philosophy. This collection of new essays provides an innovative overview of the contemporary debate on universals. Rather than focusing exclusively on the traditional opposition between realism and nominalism, the contributors explore the complexity of the debate and illustrate a broad range of positions within both the realist and the nominalist camps. Realism is viewed through the lens of the distinction between constituent and relational ontologies, while nominalism is reconstructed in light of the controversy over the notion of trope. The result is a fresh picture of contemporary metaphysics, in which traditional strategies of dealing with the problem of universals are both reaffirmed and called into question.
Author: Monica Chiarini Tremblay Publisher: Springer ISBN: 331906701X Category : Computers Languages : en Pages : 472
Book Description
This book constitutes the thoroughly refereed proceedings of the 9th International Conference on Design Science Research in Information Systems and Technology, DESRIST 2014, held in Miami, FL, USA in May 2014. The 19 full papers, 7 research-in-progress papers and 18 short papers describing prototype demonstrations were carefully reviewed and selected from 71 submissions. The papers are organized in topical sections on design science; emerging themes; meta issues; methods; supporting business processes; team support; work-in-progress papers and prototypes.
Author: Miki Hermann Publisher: Springer Science & Business Media ISBN: 3540482814 Category : Computers Languages : en Pages : 599
Book Description
This book constitutes the refereed proceedings of the 13th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2006, held in Phnom Penh, Cambodia in November 2006. The 38 revised full papers presented together with one invited talk were carefully reviewed and selected from 96 submissions.
Author: Lothar Budach Publisher: Springer Science & Business Media ISBN: 9783540544586 Category : Computers Languages : en Pages : 444
Book Description
This volume contains papers which were contributed for presentation at the international conference "Fundamentals of Computation Theory - FCT '91" heldat Gosen, near Berlin, September 9-13, 1991. This was the eighth in the series of FCT conferences organized every odd year. The programme of theconference, including invited lectures and selected contributions, falls into the following categories: - Semantics and logical concepts in the theory of computing, formal specification, - Automata and formal languages, Computational geometry, - Algorithmic aspects of algebra and algebraic geometry, cryptography, - Complexity (sequential, parallel, distributed computing, structure, lower bounds, complexity of analytical problems, general concepts), - Algorithms (efficient, probabilistic, parallel, sequential, distributed), - Counting and combinatorics in connection with mathematical computer science. The proceedings of previous FCT meetings are available as Lecture Notes in Computer Science (Vols. 380, 278, 199, 158, 117, 56).
Author: Carsten Lutz Publisher: Springer ISBN: 3030221024 Category : Mathematics Languages : en Pages : 673
Book Description
This Festschrift has been put together on the occasion of Franz Baader's 60th birthday to celebrate his fundamental and highly influential scientific contributions. The 30 papers in this volume cover several scientific areas that Franz Baader has been working on during the last three decades, including description logics, term rewriting, and the combination of decision procedures. We hope that readers will enjoy the articles gathered in Franz's honour and appreciate the breadth and depth of his favourite areas of computer science.
Author: James G. Williams
Author: James G. Williams
Author: James G. Williams
Author: Howard Bowman
Author: Maksym Bortin
Author: Andrew Newman
Author: Gabriele Galluzzo
Author: Monica Chiarini Tremblay
Author: Miki Hermann
Author: Lothar Budach
Author: Carsten Lutz