
Contributions to Mathematical Logic
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Content
- Front Cover
- Contributions to Mathematical Logic
- Copyright Page
- Contents
- CHAPTER 1. SATURATED INTUITIONISTIC THEORIES
- Introduction
- 1. Preliminaries
- 2. Completeness Proof
- 3. Kripke Structures
- 4. Two Examples of Saturated Theories
- 5. Final Remarks
- References
- CHAPTER 2. DECISION PROBLEMS ABOUT ALGEBRAIC AND LOGICAL SYSTEMS AS A WHOLE AND RECURSIVELY ENUMERABLE DEGREES OF UNSOLVABILITY
- 1. Introduction
- 2. Statement of Results
- 3. Proofs of results
- Supplement to Boone's "Algebraic Systems
- CHAPTER 3. ON RECURSIVELY UNSOLVABLE PROBLEMS IN TOPOLOGY AND THEIR CLASSIFICATION
- 0. Introduction
- Statement of Results
- 1. Logic
- 2. Algebra
- 3. Topology
- References
- CHAPTER 4. CONSTRUCTIVE THERMODYNAMICS
- 1.
- 2.
- 3.
- 4.
- 5.
- 6.
- 7.
- Acknowledgements
- References
- CHAPTER 5. A DEDUCTION THEOREM FOR INFERENTIAL PREDICATE CALCULUS
- 1. Introduction
- 2. The Deduction Theorem
- 3. Extension to Modal Systems
- 4. Representation of the Outer System in the Inner
- 5. Theorems of Glivenko Type
- References
- CHAPTER 6. ZUR BERECHENBARKEIT PRIMITIV-REKURSIVER FUNKTIONALE ENDLICHER TYPEN
- 1. Ein Formales System S Von Termen Endlicher Typen
- 2. Regulare Terme
- 3. Eine Hierarchie Arithmetischer Operationen
- 4. Ersetzung Der Bar-Induktion Durch Transfinite Induktion
- Literatur
- CHAPTER 7. EQUATIONAL MAPS
- 1. A Review of Free Algebras
- 2. Algebraic Operations
- 3. Reducts
- 4. Equational and Functorial Maps
- 5. Construction of Equational Maps
- 6. Definable Maps and Syntactical Equivalences
- Appendix
- References
- CHAPTER 9. SOME FORMS OF MODELS OF PROPORTIONAL CALCULI
- 1. Introduction
- 2. Models of Propositional Calculi
- 3. Modified S-Model
- 4. ms-Models and the Finite Model Property
- References
- CHAPTER 10. LENGTHS OF FORMULAS AND ELIMINATION OF QUANTIFIERS I
- Introduction
- 1.
- 2.
- 3.
- 4.
- 5.
- 6.
- 7.
- 8.
- 9.
- 10.
- 11.
- References
- CHAPTER 11. A DECISION PROCEDURE FOR THE WEAK SECOND ORDER THEORY OF LINEAR ORDER
- 1. A Decidability Criterion
- 2. The Ws Theory of Linear Order
- 3. Proof of Theorem 1
- 4. Proof of Theorem 2
- References
- CHAPTER 12. STRUKTURZAHLEN IN ENDLICHEN RELATIONSSYSTEMEN
- 1. Ejnleitung
- 2. Anwendung Des Polyaschen Satzes Auf Das Anzahlproblem
- 3. Auswertung Der Polya-Formel Fur Reine Relationssysteme Mit U&s 1
- 4. Auswertung Der Polya-Formel Fur Reine Relationssysteme Mit U=s 1
- Literatur
- CHAPTER 13. A SURVEY OF SOME CONNECTIONS BETWEEN CLASSICAL INTUITIONISTIC AND MINIMAL LOGIC
- 1. Preliminaries
- 2. Interpretability
- 3. Theorems
- 4. Discussion
- 5. Proofs
- References
- CHAPTER 14. ZUR SEMANTIK DER INTUITIONISTISCHEN AUSSAGENLOGIK
- CHAPTER 15. RECURSION THEORY AND THE THEOREM OF RAMSEY IN ONE-PLACE SECOND ORDER SUCCESSOR ARITHMETIC.
- 1. The System SC
- 2. Recursion Theory
- 3. The Theorem of Ramsey
- References
- CHAPTER 16. REFLECTION PRINCIPLES OF SUBSYSTEMS OF ANALYSIS
- Chapter I
- Chapter II
- References
- CHAPTER 17. EQUATIONAL LOGIC AND EQUATIONAL THEORIES OF
- 1. Algebras and Their Equational Theories
- 2. Finitely Based Theories
- 3. One-Based Theories
- 4. Independent Bases
- 5. Consistent and Complete Theories
- the Lattice of Equational Theories
- 6. Decision Problems
- References
- CHAPTER 18. THE USE OF "BROUWER'S PRINCIPLE" IN INTUITIONISTIC TOPOLOGY
- 1. Notations and Conventions
- 2. A Few Technicalities
- 3. Applications
- References
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