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It presents a practice-oriented logic called Alonzo that is based on Alonzo Church's formulation of simple type theory known as Church's type theory. Unlike traditional predicate logics, Alonzo admits undefined expressions. The book illustrates using Alonzo how simple type theory is suited ideally for reasoning about mathematical structures and constructing libraries of mathematical knowledge. For this second edition, more than 400 additions, corrections, and improvements have been made, including a new chapter on inductive sets and types.
Topics and features:
· Offers the first book-length introduction to simple type theory as a predicate logic
· Provides the reader with a logic that is close to mathematical practice
· Includes a module system for building libraries of mathematical knowledge
· Employs two semantics, one for mathematics and one for logic
· Emphasizes the model-theoretic view of predicate logic
· Presents several important topics, such as definite description and theory morphisms, not usually found in standard logic textbooks
Aimed at students of mathemati
It presents a practice-oriented logic called Alonzo that is based on Alonzo Church's formulation of simple type theory known as Church's type theory. Unlike traditional predicate logics, Alonzo admits undefined expressions. The book illustrates using Alonzo how simple type theory is suited ideally for reasoning about mathematical structures and constructing libraries of mathematical knowledge. For this second edition, more than 400 additions, corrections, and improvements have been made, including a new chapter on inductive sets and types.
Topics and features:
· Offers the first book-length introduction to simple type theory as a predicate logic
· Provides the reader with a logic that is close to mathematical practice
· Includes a module system for building libraries of mathematical knowledge
· Employs two semantics, one for mathematics and one for logic
· Emphasizes the model-theoretic view of predicate logic
· Presents several important topics, such as definite description and theory morphisms, not usually found in standard logic textbooks
Aimed at students of mathemati
| Erscheinungsjahr: | 2025 |
|---|---|
| Genre: | Informatik, Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
xxix
319 S. 6 s/w Illustr. 5 farbige Illustr. 319 p. 11 illus. 5 illus. in color. |
| ISBN-13: | 9783031853517 |
| ISBN-10: | 3031853512 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Farmer, William M. |
| Auflage: | Second Edition 2025 |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing Springer International Publishing AG |
| Verantwortliche Person für die EU: | Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 25 mm |
| Von/Mit: | William M. Farmer |
| Erscheinungsdatum: | 24.04.2025 |
| Gewicht: | 0,692 kg |
| Erscheinungsjahr: | 2025 |
|---|---|
| Genre: | Informatik, Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
xxix
319 S. 6 s/w Illustr. 5 farbige Illustr. 319 p. 11 illus. 5 illus. in color. |
| ISBN-13: | 9783031853517 |
| ISBN-10: | 3031853512 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Farmer, William M. |
| Auflage: | Second Edition 2025 |
| Hersteller: |
Springer Nature Switzerland
Springer International Publishing Springer International Publishing AG |
| Verantwortliche Person für die EU: | Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com |
| Maße: | 241 x 160 x 25 mm |
| Von/Mit: | William M. Farmer |
| Erscheinungsdatum: | 24.04.2025 |
| Gewicht: | 0,692 kg |
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