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Ordinal Definability And Recursion Theory

The proceedings of the Los Angeles Caltech-UCLA 'Cabal Seminar' were originally published in the 1970s and 1980s. Ordinal Definability and;

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Recursion Theory

This monograph presents recursion theory from a generalized point of view centered on the computational aspects of definability. A major;

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Admissible Sets and Structures

source of interaction between model theory, recursion theory and set theory, and plays an important role in definability theory. In this volume;

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Recursion-Theoretic Hierarchies

research: descriptive set theory and recursion theory. Both are concerned with notions of definability and with the classification of mathematical;

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Computational Prospects Of Infinity - Part I

of the leading experts in recursion theory (computability theory) and set theory. The survey paper of Rod Downey provides a comprehensive;

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Recursion Theory and Computational Complexity

S. Homer: Admissible recursion theory.- B.E. Jacobs: Computational complexity and recursion theory.- D. Normann: A survey of set recursion;

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Elementary Induction on Abstract Structures

for students and professionals interested in model theory and definability theory. The sole prerequisite is a familiarity with the basics;

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Effective Mathematics Of The Uncountable

computability; Sigma-definability; computability theory on admissible ordinals; E-recursion theory; local computability; and uncountable reverse;

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Handbook of Philosophical Logic

Lambda Calculi: A Guide Interpolation and Definability Discourse Representation Theory;

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Ordinal Analysis with an Introduction to Proof Theory

This book provides readers with a guide to both ordinal analysis, and to proof theory. It mainly focuses on ordinal analysis, a research;

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Ordinal Analysis with an Introduction to Proof Theory

This book provides readers with a guide to both ordinal analysis, and to proof theory. It mainly focuses on ordinal analysis, a research;

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The Foundations of Mathematics

beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the;

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Set Theory

, the natural numbers, order, cardinality, transfinite recursion, the axiom of choice, ordinal numbers, and cardinal numbers, are developed;

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A Book of Set Theory

natural and cardinal numbers, finite and infinite sets, the arithmetic of ordinal numbers, transfinite recursion, and selected topics in the;

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Higher Recursion Theory

know the basics of classical recursion theory. The book is divided into four parts: hyperarithmetic sets, metarecursion, -recursion, and E;

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Recursion Theory: Lecture Notes in Logic 1

teaching and self-study that prepares its readers for the study of advanced monographs and the current literature on recursion theory.;

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Perspectives in Logic

science. Part I covers basic proof theory, computability and Goedel's theorems. Part II studies and classifies provable recursion in classical;

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Set Theory and the Continuum Problem

induction principle, super induction, ordinal numbers, order isomorphism and transfinite recursion, and the axiom of foundation and cardinals. The;

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Recursion Theory

in the Lecture Notes in Logic series, Shoenfield gives a clear and focused introduction to recursion theory. The fundamental concept of recursion;

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General Recursion Theory

on to show how computation theories connect with and unify other parts of general recursion theory. Some mathematical maturity is required;

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Computability

Intends to lay a common basis for the different branches of recursion theory. Leads from the very basic theory to modern concepts;

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Contributions to the Founding of the Theory of Transfinite Numbers

on ordinal types, the ordinal type of the linear continuum, and others. He then develops a theory of well-ordered aggregates, and;

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Hierarchy of Turing Degrees

Computability theory is a branch of mathematical logic and computer science that has become increasingly relevant in recent years. The;

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Undecidable Theories

Essential Undecidability in Mathematics," explores definability in arbitrary theories and the formalized arithmetic of natural numbers. It also;

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An Introduction to Proof Theory

mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's;

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An Introduction to Proof Theory

mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's;

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