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Mathematical Logic through Python
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Artikel-Nr:
9781108845076
Veröffentl:
2022
Einband:
HC gerader Rücken kaschiert
Erscheinungsdatum:
15.09.2022
Seiten:
284
Autor:
Yannai A. Gonczarowski
Gewicht:
736 g
Format:
260x183x20 mm
Sprache:
Englisch
Beschreibung:
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.
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.
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.