Treatise on Intuitionistic Type Theory

• Κύριος συγγραφέας: Granström, Johan Georg (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands, 2011.
• Σειρά: Logic, Epistemology, and the Unity of Science ; 22
• Θέματα: Philosophy.; Epistemology.; Logic.; Computer logic.; Algorithms.; Mathematical logic.; Mathematical Logic and Foundations.; Logics and Meanings of Programs.; History of Philosophy.
• Φυσική περιγραφή: XIV, 198 p. online resource.
• ISBN: 9789400717367

Intuitionistic type theory can be described, somewhat boldly, as a fulfillment of the dream of a universal language for science.  In particular, intuitionistic type theory is a foundation for mathematics and a programming language.  This book expounds several aspects of intuitionistic type theory, such as the notion of set, reference vs. computation, assumption, and substitution.  Moreover, the book includes philosophically relevant sections on the principle of compositionality, lingua characteristica, epistemology, propositional logic, intuitionism, and the law of excluded middle. Ample historical references are given throughout the book.