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Automata on Infinite Objects and Church’s Problem
 
A co-publication of the AMS and CBMS
Automata on Infinite Objects and Church's Problem
Softcover ISBN:  978-0-8218-1663-9
Product Code:  CBMS/13
List Price: $28.00
Individual Price: $22.40
eBook ISBN:  978-1-4704-2373-5
Product Code:  CBMS/13.E
List Price: $26.00
Individual Price: $20.80
Softcover ISBN:  978-0-8218-1663-9
eBook: ISBN:  978-1-4704-2373-5
Product Code:  CBMS/13.B
List Price: $54.00 $41.00
Automata on Infinite Objects and Church's Problem
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Automata on Infinite Objects and Church’s Problem
A co-publication of the AMS and CBMS
Softcover ISBN:  978-0-8218-1663-9
Product Code:  CBMS/13
List Price: $28.00
Individual Price: $22.40
eBook ISBN:  978-1-4704-2373-5
Product Code:  CBMS/13.E
List Price: $26.00
Individual Price: $20.80
Softcover ISBN:  978-0-8218-1663-9
eBook ISBN:  978-1-4704-2373-5
Product Code:  CBMS/13.B
List Price: $54.00 $41.00
  • Book Details
     
     
    CBMS Regional Conference Series in Mathematics
    Volume: 131972; 22 pp
    MSC: Primary 94

    This volume is an outgrowth of a series of lectures presented at the CBMS Regional Conference held at Morehouse College, Atlanta, Georgia, on September 8–12, 1969. The purpose of these notes, which present results reported here for the first time, is twofold. First, to give a quick overview of certain aspects of the mathematical theory of automata and to prove in detail a number of deeper results in this subject. Second, to combine and utilize the various methods, chiefly the method of automata on infinite trees, to obtain a simple and transparent solution of Church's solvability problem.

    Readership

  • Table of Contents
     
     
    • Chapters
    • Automata on infinite objects and Church’s problem
    • Basic definitions and results
    • Closure properties of definable sets
    • The sequential calculus
    • Automaton transformations and Church’s problem
    • Regular trees
    • Definable sets contain regular trees
    • The emptiness problem
    • The solvability problem
    • A basis theorem
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 131972; 22 pp
MSC: Primary 94

This volume is an outgrowth of a series of lectures presented at the CBMS Regional Conference held at Morehouse College, Atlanta, Georgia, on September 8–12, 1969. The purpose of these notes, which present results reported here for the first time, is twofold. First, to give a quick overview of certain aspects of the mathematical theory of automata and to prove in detail a number of deeper results in this subject. Second, to combine and utilize the various methods, chiefly the method of automata on infinite trees, to obtain a simple and transparent solution of Church's solvability problem.

Readership

  • Chapters
  • Automata on infinite objects and Church’s problem
  • Basic definitions and results
  • Closure properties of definable sets
  • The sequential calculus
  • Automaton transformations and Church’s problem
  • Regular trees
  • Definable sets contain regular trees
  • The emptiness problem
  • The solvability problem
  • A basis theorem
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.