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Tableau Systems for First Order Number Theory and Certain Higher Order Theories (1975)

Tableau Systems for First Order Number Theory and Certain Higher Order Theories

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"Tableau Systems for First Order Number Theory and Certain Higher Order Theories" by S.A. Toledo is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Most of this work is devoted to presenting aspects of proof theory that have developed out of Gentzen's work. Thus the them is "cut elimination" and transfinite induction over constructive ordinals. Smullyan's tableau systems will be used for the formalisms and some of the basic logical results as presented in Smullyan [1] will be assumed to be known (essentially only the classical completeness and consistency proofs for propositional and first order logic).

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Best For: Students and researchers interested in proof theory and mathematical logic
Focus: Cut elimination and transfinite induction in proof theory
Covers: Gentzen's work, Smullyan's tableau systems, classical completeness and consistency proofs
Why It Matters: Provides a detailed study of foundational proof theory concepts essential for understanding formal logical systems

"Tableau Systems for First Order Number Theory and Certain Higher Order Theories" by S.A. Toledo is a mathematics book and learning resource focused on Core Mathematics. Best for teachers, students, and readers looking for stronger mathematical understanding.

Topic: Core Mathematics

Author: S.A. Toledo

Who this is for:

  • Teachers and classroom instructors
  • Students building subject mastery
  • Readers looking for practical learning support

Why this book matters: It stands out as a practical math resource that helps explain concepts, strengthen problem-solving, and support classroom or independent learning.

Most of this work is devoted to presenting aspects of proof theory that have developed out of Gentzen's work. Thus the them is "cut elimination" and transfinite induction over constructive ordinals. Smullyan's tableau systems will be used for the formalisms and some of the basic logical results as presented in Smullyan [1] will be assumed to be known (essentially only the classical completeness and consistency proofs for propositional and first order logic).

AuthorS.A. Toledo
PublisherLecture Notes in Mathematics
Published1975-04-14
ISBN-139783540071495
BindingPaperback
Pages356
LanguageEnglish
SubjectsMathematics
TopicCore Mathematics
SeriesLecture Notes in Mathematics

Format: Paperback

Length: 356 pages

Language: English

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