Elementary Logics
Seiten
1993
Addison Wesley (Verlag)
978-0-13-726365-3 (ISBN)
Addison Wesley (Verlag)
978-0-13-726365-3 (ISBN)
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This text aims to introduce classical logic in such a way that one can also easily deviate into discussing non-classical logics. It defines the many types of logics and the differences between them, starting with the basic notions of the most common logic and working through the many non-classical logics.
Logic is applied in a wide variety of subjects, from software engineering and hardware design to programming and artificial intelligence. In this way, it has served to stimulate the search for clear conceptual foundations. In recent years, many extensions of classical logic such as temporal, modal, relevance and fuzzy logics have been widely used in computer science. Therefore, a new formulation of classical logic is needed which can naturally be modified to yield the effect of non-classical logics. Elementary Logics: A Procedural Perspective aims to introduce classical logic in such a way that one can also easily deviate into discussing non-classical logics. This text clarifies the definition differences between logics and allows the reader to comprehend how these small differences and their magnified effects can be understood by applying concepts common to all logics. The most common logic is introduced at the beginning of the text, with the basic notions which will be transferred to each of the logics examined.
The definition of classical proportional logic is interfered with to obtain a number of non-classical logics, before returning to the classical world to present a natural deduction method for determining the truth of statements.
Logic is applied in a wide variety of subjects, from software engineering and hardware design to programming and artificial intelligence. In this way, it has served to stimulate the search for clear conceptual foundations. In recent years, many extensions of classical logic such as temporal, modal, relevance and fuzzy logics have been widely used in computer science. Therefore, a new formulation of classical logic is needed which can naturally be modified to yield the effect of non-classical logics. Elementary Logics: A Procedural Perspective aims to introduce classical logic in such a way that one can also easily deviate into discussing non-classical logics. This text clarifies the definition differences between logics and allows the reader to comprehend how these small differences and their magnified effects can be understood by applying concepts common to all logics. The most common logic is introduced at the beginning of the text, with the basic notions which will be transferred to each of the logics examined.
The definition of classical proportional logic is interfered with to obtain a number of non-classical logics, before returning to the classical world to present a natural deduction method for determining the truth of statements.
1. Introduction 2. Propositional Logic and Truth Tables 3. Some Non-classical Logics 4. Introducing Forward Rules 5. From Forward to Backward Rules 6. Non-classical Boxes 7. Methodology and Metatheorems 8. Introducing Predicate Logic 9. Forward and Backward Predicate Rules 10. Elements of Modal and Temporal Logics 11. Elements of Non-monotonic Logics 12. Practical Reasoning Bibliography Index
| Erscheint lt. Verlag | 1.6.1993 |
|---|---|
| Verlagsort | Boston |
| Sprache | englisch |
| Maße | 173 x 235 mm |
| Gewicht | 1078 g |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| ISBN-10 | 0-13-726365-1 / 0137263651 |
| ISBN-13 | 978-0-13-726365-3 / 9780137263653 |
| Zustand | Neuware |
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