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An Introduction to the Technique of Formative Processes in Set Theory

  • Book
  • © 2018

Overview

  • Various techniques have been developed to solve the satisfiability problem for increasingly complex fragments of set theory
  • Formative processes technique allows the solution of challenging decidability problems in computable set theory
  • Appropriate for researchers and graduate students in the area of computer science logic

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Table of contents (5 chapters)

  1. Theoretical Apparatus

  2. Applications

Keywords

About this book

This book presents an intuitive picture-oriented approach to the formative processes technique and to its applications. In the first part the authors introduce basic set-theoretic terminology and properties, the decision problem in set theory, and formative processes. The second part of the book is devoted to applications of the technique of formative processes to decision problems.

All chapters contain exercises and the book is appropriate for researchers and graduate students in the area of computer science logic.

Authors and Affiliations

  • Dipt. di Matematica e Informatica, Università degli Studi di Catania, Catania, Italy

    Domenico Cantone

  • Dipartimento di Fisica e Matematica, Università degli Studi dell'Insubria, Como, Italy

    Pietro Ursino

About the authors

Domenico Cantone is a professor at the Università di Catania. He has been a visiting professor at New York University, Stanford University, ICSI (Berkeley), and Karlsruhe. His interests include mathematical and computer science logic, in particular set theory. Pietro Ursino is a lecturer at the Università dell'Insubria, his interests include mathematical logic.

Bibliographic Information

  • Book Title: An Introduction to the Technique of Formative Processes in Set Theory

  • Authors: Domenico Cantone, Pietro Ursino

  • DOI: https://doi.org/10.1007/978-3-319-74778-1

  • Publisher: Springer Cham

  • eBook Packages: Computer Science, Computer Science (R0)

  • Copyright Information: Springer International Publishing AG 2018

  • Hardcover ISBN: 978-3-319-74777-4Published: 26 February 2018

  • Softcover ISBN: 978-3-319-89283-2Published: 04 June 2019

  • eBook ISBN: 978-3-319-74778-1Published: 15 February 2018

  • Edition Number: 1

  • Number of Pages: XII, 154

  • Number of Illustrations: 15 b/w illustrations

  • Topics: Mathematical Logic and Formal Languages, Mathematical Logic and Foundations

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