Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science
Springer International Publishing (Verlag)
978-3-030-09074-6 (ISBN)
This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi's scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life.
It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.
Chapter 1. A Mathematical Life (Don Pigozzi).- Chapter 2. Assertional Logics, Truth-equational Logics, and the Hierarchies of Abstract Algebraic Logic (Hugo Albuquerque).- Chapter 3. Deduction-Detachment Theorem and Gentzen-Style Deductive Systems (Sergey Babenyshev).- Chapter 4. Introducing Boolean Semilattices (Cli ord Bergman).- Chapter 5. The Equationally-Defined Commutator in Quasivarieties Generated by Two-Element Algebras (Janusz Czelakowski).
| Erscheinungsdatum | 21.01.2019 |
|---|---|
| Reihe/Serie | Outstanding Contributions to Logic |
| Zusatzinfo | XXXIII, 454 p. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 741 g |
| Themenwelt | Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika |
| Geisteswissenschaften ► Philosophie ► Logik | |
| Mathematik / Informatik ► Informatik ► Theorie / Studium | |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| Schlagworte | Absorption and Directed J onsson Terms • Absorption and Directed J´onsson Terms • Boolean Product Representations of Algebras • Boolean Semilattices • Categorical Abstract Algebraic Logic • Congruence Modular Quasivarieties of Modules • Deduction-Detachment Theorem and Gentzen-Style Ded • Deduction-Detachment Theorem and Gentzen-Style Deductive Systems • Diagrammatic Duality • Equationally-Defined Commutator in Quasivarieties • Finite Algebra Generates A Minimal Variety • Finite-dimensional Compact Hausdorff Topological A • Finite-dimensional Compact Hausdorff Topological Algebras • Hidden Logic • Hierarchies of Abstract Algebraic Logic • Paraconsistent Constructive Logic with Strong Nega • Paraconsistent Constructive Logic with Strong Negation • Protoalgebraic K-deductive Systems |
| ISBN-10 | 3-030-09074-4 / 3030090744 |
| ISBN-13 | 978-3-030-09074-6 / 9783030090746 |
| Zustand | Neuware |
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