In this unique take on a classic mathematical logic course, students are guided in implementing the underlying logical concepts and mathematical proofs in the Python programming language, thus achieving deep hands-on clarity and understanding. The text is accompanied by an extensive collection of programming tasks, code skeletons, and unit tests.
In this unique take on a classic mathematical logic course, students are guided in implementing the underlying logical concepts and mathematical proofs in the Python programming language, thus achieving deep hands-on clarity and understanding. The text is accompanied by an extensive collection of programming tasks, code skeletons, and unit tests.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Yannai A. Gonczarowski is Assistant Professor of both Economics and Computer Science at Harvard University, and is the first faculty at Harvard to be appointed to both of these departments. He received his PhD in Mathematics and Computer Science from The Hebrew University of Jerusalem. Among his research awards are the ACM SIGecom Dissertation Award and INFORMS AMD Junior Researcher Paper Prize. He is also a professionally trained opera singer.
Inhaltsangabe
Preface Introduction and Overview Part I. Propositional Logic: 1. Propositional Logic Syntax 2. Propositional Logic Semantics 3. Logical Operators 4. Proof by Deduction 5. Working with Proofs 6. The Tautology Theorem and the Completeness of Propositional Logic Part II. Predicate Logic: 7. Predicate Logic Syntax and Semantics 8. Getting Rid of Functions and Equality 9. Deductive Proofs of Predicate Logic Formulas 10. Working with Predicate Logic Proofs 11. The Deduction Theorem and Prenex Normal Form 12. The Completeness Theorem 13. Sneak Peek at Mathematical Logic II: Godel's Incompleteness Theorem Cheatsheet Axioms and Axiomatic Inference Rules Used in this Book Notes Index.
Preface Introduction and Overview Part I. Propositional Logic: 1. Propositional Logic Syntax 2. Propositional Logic Semantics 3. Logical Operators 4. Proof by Deduction 5. Working with Proofs 6. The Tautology Theorem and the Completeness of Propositional Logic Part II. Predicate Logic: 7. Predicate Logic Syntax and Semantics 8. Getting Rid of Functions and Equality 9. Deductive Proofs of Predicate Logic Formulas 10. Working with Predicate Logic Proofs 11. The Deduction Theorem and Prenex Normal Form 12. The Completeness Theorem 13. Sneak Peek at Mathematical Logic II: Godel's Incompleteness Theorem Cheatsheet Axioms and Axiomatic Inference Rules Used in this Book Notes Index.
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