The Collected Works of J. Richard Büchi

Paperback (Softcover reprint of the original 1st ed. 1990)
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Editorial Reviews

Booknews
Buchi (1924-1984) is known for his work in mathematical logic and theoretical computer science. His papers (some in German) are grouped by subject area, and accompanied by requested comments introducing and evaluating his work in each area. Introductory material discusses Buchi's life and work in general terms. The writings as published here are reproduced from previous publications or manuscripts; the quality and clarity of the typefaces are variable. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9781461389309
  • Publisher: Springer New York
  • Publication date: 7/31/2012
  • Edition description: Softcover reprint of the original 1st ed. 1990
  • Edition number: 1
  • Pages: 696
  • Product dimensions: 6.14 (w) x 9.21 (h) x 1.43 (d)

Table of Contents

1. The Person and His Work.- J. Richard Büchi (1924–1984).- The Life of J. Richard Büchi.- The Work of J. Richard Büchi.- The Role of Büchi’s Automata in Computer Science.- J. Richard Büchi’s Doctoral Students.- Abstracts Published by J. Richard Büchi.- 2. The Publications, with Comments.- Section 1. Boolean Algebras.- [1] Die Boole’sche Partialordnung und die Paarung von Gefügen.- [2] Representation of Complete Lattices by Sets.- [3] Investigation of the Equivalence of the Axiom of Choice and Zorn’s Lemma from the Viewpoint of the Hierarchy of Types.- Section 2. Discrete Spaces.- [4] On the Existence of Totally Heterogeneous Spaces.- [19] Jordan Circuits of a Graph (with Gary Haggard).- [37] Skolem Rings and Their Varieties (with T. Michael Owens).- Section 3. Towards a Theory of Definability.- [5] The Theory of Proportionality as an Abstraction of Group Theory (with Jesse B. Wright).- [6] Invariants of the Anti-Automorphisms of a Group (with Jesse B. Wright).- [21] Model Theoretic Approaches to Definability.- [22] Definability in Normal Theories (with Kenneth J. Danhof).- [23] Variations on a Theme of Cantor in the Theory of Relational Structures.- [40] Relatively Categorical and Normal Theories.- Abstract 11. Relatively Categorical and Normal Theories.- Section 4. Automata and Grammars.- [10] Mathematische Theorie des Verhaltens endlicher Automaten.- Mathematical Theory of the Behavior of Finite Automata (English translation by Sylvia Büchi, Peter Deussen, and Dirk Siefkes).- [11] Regular Canonical Systems.- [12] Algebraic Theory of Feedback in Discrete Systems.- [17] Canonical Systems which Produce Periodic Sets (with William H. Hosken).- Section 5. Automata and Monadic Theories.- [7] Weak Second-Order Arithmetic and Finite Automata.- [8] On a Decision Method in Restricted Second Order Arithmetic.- [13] Transfinite Automata Recursions and Weak Second Order Theory of Ordinals.- [14] Decision Methods in the Theory of Ordinals.- [16] Definability in the Monadic Second-Order Theory of Successor (with Lawrence H. Landweber).- [26] The Complete Extensions of the Monadic Second Order Theory of Countable Ordinals (with Dirk Siefkes).- [28] Deterministic Automata and the Monadic Theory of Ordinals
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