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The Calculi of Lambda Conversion. (AM-6), Volume 6 / / Alonzo Church
| The Calculi of Lambda Conversion. (AM-6), Volume 6 / / Alonzo Church |
| Autore | Church Alonzo |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (89 pages) |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Logic, Symbolic and mathematical
Recursive functions |
| Soggetto non controllato |
2H
A-normal form Addition Alphabetical order Ambiguity Argument of a function Axiom Bibliography Big O notation Calculation Characteristic function (probability theory) Combination Complex number Computability Computation Consistency Corollary Definition Denotation Determination Differential calculus Enumeration Equation Exc Existential quantification Exponentiation Finitary Finite set Formal system Frege (programming language) Function (mathematics) Gödel numbering Identity function In the process of Integer Iteration Limit (mathematics) Logic Logical conjunction Logical disjunction Mathematical induction Mathematical logic Mathematics Metamathematics Natural number Negation Notation Null set Number theory Ordinal number Pairing Paul Bernays Primitive recursive function Principia Mathematica Propositional function Quantifier (logic) Real number Recursion (computer science) Recursion Reduction of order Requirement Resultant Rule of inference Scientific notation Sequence Set theory Special case Successor function Theorem Theory Transfinite number Transfinite Truth value Uncertainty Universal quantification Upper and lower bounds Variable (mathematics) Well-formed formula Without loss of generality |
| ISBN | 1-4008-8193-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- Chapter I. INTRODUCTORY -- Chapter II. LAMBDA-CONVERSION -- Chapter III. LAMBDA-DEFINABILITY -- Chapter IV. COMBINATIONS, GÖDEL NUMBERS -- Chapter V. THE CALCULI OF λ-K-CONVERSION AND λ-δ- CONVERSION -- INDEX OP THE PRINCIPAL FORMULAS INTRODUCED BY DEFINITION -- BIBLIOGRAPHY -- CORRECTION AND ADDITIONS |
| Record Nr. | UNINA-9910154753003321 |
Church Alonzo
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Introduction to Mathematical Logic (PMS-13), Volume 13 / / Alonzo Church
| Introduction to Mathematical Logic (PMS-13), Volume 13 / / Alonzo Church |
| Autore | Church Alonzo |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (389 pages) |
| Disciplina | 511.3 |
| Collana | Princeton Mathematical Series |
| Soggetto topico | Logic, Symbolic and mathematical |
| Soggetto non controllato |
Abstract algebra
Acta Mathematica Arithmetic Axiom of choice Axiom of infinity Axiom of reducibility Axiom schema Axiom Axiomatic system Binary function Boolean algebra (structure) Boolean ring Calculus ratiocinator Characterization (mathematics) Class (set theory) Classical mathematics Commutative property Commutative ring Conditional disjunction David Hilbert Decision problem Deduction theorem Denotation Disjunctive syllogism Double negation Duality (mathematics) Elementary algebra Elementary arithmetic English alphabet Equation Existential quantification Expression (mathematics) Formation rule Frege (programming language) Function (mathematics) Functional calculus Fundamenta Mathematicae Gödel numbering Gödel's completeness theorem Gödel's incompleteness theorems Hilbert's program Hypothetical syllogism Imperative logic Inference Introduction to Mathematical Philosophy Lambda calculus Linear differential equation Logic Logical connective Logical disjunction Material implication (rule of inference) Mathematical analysis Mathematical induction Mathematical logic Mathematical notation Mathematical practice Mathematical problem Mathematical theory Mathematics Mathematische Zeitschrift Metatheorem Modal logic Modus ponendo tollens Natural number Naturalness (physics) Negation Notation Number theory Object language Parity (mathematics) Predicate (mathematical logic) Prenex normal form Principia Mathematica Propositional calculus Propositional function Propositional variable Quantifier (logic) Range (mathematics) Real number Recursion (computer science) Restriction (mathematics) Riemann surface Ring (mathematics) Rule of inference Scientific notation Second-order arithmetic Series (mathematics) Sign (mathematics) Skolem normal form Special case Tautology (logic) Term logic The Principles of Mathematics Theorem Three-dimensional space (mathematics) Transfinite number Triviality (mathematics) Truth table Variable (mathematics) Zermelo set theory |
| ISBN | 1-4008-8145-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- Introduction -- I. The Propositional Calculus -- II. The Propositional Calculus (Continued) -- III. Functional Calculi of First Order -- IV. The Pure Functional Calculus of First Order -- V. Functional Calculi of Second Order -- Index of Definitions -- Index of Authors -- Errata |
| Record Nr. | UNINA-9910154754303321 |
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Church Alonzo
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Theory of Formal Systems. (AM-47), Volume 47 / / Raymond M. Smullyan
| Theory of Formal Systems. (AM-47), Volume 47 / / Raymond M. Smullyan |
| Autore | Smullyan Raymond M. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (157 pages) : illustrations |
| Disciplina | 511.33 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Recursive functions
Metamathematics |
| Soggetto non controllato |
Addition
Algebraic geometry Alonzo Church Arithmetic function Arithmetic Atomic sentence Axiom A. Axiom schema Axiom Axiomatic system Binary relation Cantor's diagonal argument Cartesian product Characterization (mathematics) Chinese remainder theorem Closed-form expression Closure (mathematics) Combination Combinatory logic Complement (set theory) Concatenation theory Consistency Constructive proof Corollary Countable set Counterexample Decidability (logic) Decision problem Definable set Diagonalization Direct proof Disjoint sets Enumeration Equation Existential quantification Exponential function Finite set Formal system Functional calculus Gödel numbering Gödel's incompleteness theorems Herbrand's theorem Inference Integer factorization Iteration John Myhill Logical connective Logical consequence Mathematical induction Mathematical logic Mathematician Mathematics Metamathematics Modus ponens Natural number Negation Number theory Order theory Parity (mathematics) Peano axioms Predicate (mathematical logic) Prenex normal form Primitive recursive function Quantifier (logic) Recursion Recursive set Recursively enumerable set Remainder Requirement Rule of inference Scientific notation Sequence Set (mathematics) Sign (mathematics) Special case Subset Suggestion System U. Theorem Theory Transfinite number Turing machine Universal set Validity Variable (mathematics) Zermelo set theory |
| ISBN | 1-4008-8200-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- ANNALS OF MATHEMATICS STUDIES -- CHAPTER I: FORMAL MATHEMATICAL SYSTEMS -- CHAPTER II: FORMAL REPRESENTABILITY AND RECURSIVE ENUMERABILITY -- CHAPTER III: INCOMPLETENESS -AND UNDECIDABILITY -- CHAPTER IV: RECURSIVE FUNCTION THEORY -- CHAPTER V: CREATIVITY AND EFFECTIVE INSEPARABILITY -- SUPPLEMENT: APPLICATIONS TO MATHEMATICAL LOGIC -- REFERENCE AND BRIEF BIBLIOGRAPHY |
| Record Nr. | UNINA-9910154750903321 |
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Smullyan Raymond M.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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