Uniformly Reflexive Structures
Author : Eric Gerhardt Wagner
Publisher :
Page : 322 pages
File Size : 47,30 MB
Release : 1963
Category : Recursive functions
ISBN :
Author : Eric Gerhardt Wagner
Publisher :
Page : 322 pages
File Size : 47,30 MB
Release : 1963
Category : Recursive functions
ISBN :
Author : Luis E. Sanchis
Publisher : Springer Science & Business Media
Page : 243 pages
File Size : 38,67 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461238781
Reflexive Structures: An Introduction to Computability Theory is concerned with the foundations of the theory of recursive functions. The approach taken presents the fundamental structures in a fairly general setting, but avoiding the introduction of abstract axiomatic domains. Natural numbers and numerical functions are considered exclusively, which results in a concrete theory conceptually organized around Church's thesis. The book develops the important structures in recursive function theory: closure properties, reflexivity, enumeration, and hyperenumeration. Of particular interest is the treatment of recursion, which is considered from two different points of view: via the minimal fixed point theory of continuous transformations, and via the well known stack algorithm. Reflexive Structures is intended as an introduction to the general theory of computability. It can be used as a text or reference in senior undergraduate and first year graduate level classes in computer science or mathematics.
Author : S. Abramsky
Publisher : OUP Oxford
Page : 556 pages
File Size : 19,46 MB
Release : 2001-01-25
Category : Computers
ISBN : 0191546275
This handbook volume covers fundamental topics of semantics in logic and computation. The chapters (some monographic in length), were written following years of co-ordination and follow a thematic point of view. The volume brings the reader up to front line research, and is indispensable to any serious worker in the areas.
Author : Lev D. Beklemishev
Publisher : Elsevier
Page : 465 pages
File Size : 22,64 MB
Release : 2000-04-01
Category : Computers
ISBN : 0080954898
Generalized Recursion Theory
Author : Alfredo De Santis
Publisher : World Scientific
Page : 577 pages
File Size : 24,72 MB
Release : 1996
Category : Computer science
ISBN : 9814531189
Author :
Publisher :
Page : 1128 pages
File Size : 12,45 MB
Release : 1965
Category : Aeronautics
ISBN :
Author : A.S. Troelstra
Publisher : Elsevier
Page : 607 pages
File Size : 11,53 MB
Release : 2014-06-28
Category : Mathematics
ISBN : 008095510X
Studies in Logic and the Foundations of Mathematics, Volume 123: Constructivism in Mathematics: An Introduction, Vol. II focuses on various studies in mathematics and logic, including metric spaces, polynomial rings, and Heyting algebras. The publication first takes a look at the topology of metric spaces, algebra, and finite-type arithmetic and theories of operators. Discussions focus on intuitionistic finite-type arithmetic, theories of operators and classes, rings and modules, linear algebra, polynomial rings, fields and local rings, complete separable metric spaces, and located sets. The text then examines proof theory of intuitionistic logic, theory of types and constructive set theory, and choice sequences. The book elaborates on semantical completeness, sheaves, sites, and higher-order logic, and applications of sheaf models. Topics include a derived rule of local continuity, axiom of countable choice, forcing over sites, sheaf models for higher-order logic, and complete Heyting algebras. The publication is a valuable reference for mathematicians and researchers interested in mathematics and logic.
Author : Nicholas Pippenger
Publisher : Cambridge University Press
Page : 268 pages
File Size : 21,61 MB
Release : 1997-05-28
Category : Computers
ISBN : 9780521553803
A mathematically sophisticated introduction to Turing's theory, Boolean functions, automata, and formal languages.
Author : J. Aissen
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 29,8 MB
Release : 2012-12-06
Category : Foreign Language Study
ISBN : 9400937415
xv NOTES ON THE ORTHOGRAPHY AND CITATIONS xxi LIST OF ABBREVIA TIONS XXIIl CHAPTER 1: GRAMMATICAL NOTES 1 1. Introduction 1 2. Basics 1 3. Major Lexical Classes 2 3. 1. V 3 3. 2. N 3 3. 3. A 5 3. 3. 1. Quantifiers 6 3. 3. 2. Existentials and Locatives 6 4. Minor Lexical Classes 7 4. 1. Clitics 7 4. 1. 1. Clause-proclitic 7 4. 1. 2. S-enclitic 8 4. 1. 3. V-enclitic 8 4. 1. 4. Clause-second 9 4. 2. Directionals 9 4. 3. Particles 11 5. Flagging 11 6. Word Order 12 7. Construction Survey 12 7. 1. Negation 12 13 7. 2. Questions 7. 3. Complement Clauses 14 16 7. 4. Motion cum Purpose 17 7. 5. Topics 7. 6. Prepredicate Position 18 19 Notes CHAPTER 2: THEORETICAL SKETCH 20 20 1. Arcs vii Vlll T ABLE OF CONTENTS 1. 1. Sets of Grammatical Relations 22 1. 2. Stratum 24 Ergative and Absolutive 1. 3. 25 1. 4. 25 Formal Connections between Arcs 2. Sponsor and Erase 26 2. 1. Successors 26 2. 2. Replacers 28 2. 3. Self-Sponsor and Self-Erase 30 3. Ancestral Relations 31 4. Pair Networks 31 Resolution of Overlapping Arcs 32 5. 6. Coordinate Determination 33 7. Rules and Laws 35 8. Word Order 36 9. APG Versions of RG Laws 36 9. 1. Stratal Uniqueness Law 36 9. 2. Chomeur Law and Motivated Chomage Law 36 Relational Succession Law and Host Limitation Law 9. 3.
Author : Paul Callaghan
Publisher : Springer
Page : 252 pages
File Size : 42,46 MB
Release : 2003-08-03
Category : Computers
ISBN : 3540458425
This book constitutes the thoroughly refereed post-proceedings of the International Workshop of the TYPES Working Group, TYPES 2000, held in Durham, UK in December 2000. The 15 revised full papers presented were carefully reviewed and selected during two rounds of refereeing and revision. All current issues on type theory and type systems and their applications to programming, systems design, and proof theory are addressed.