The Logic of Information Structures

1993
ISBN: 978-3-540-56734-9
Verlag: Springer Berlin Heidelberg

Buch, Englisch, 168 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 283 g

Reihe: Lecture Notes in Artificial Intelligence

This monograph gives a logical treatment of two central
aspects of the concept of information, namely information
processing and information structure. The structure of
information is treated as a topic in model theory, while
information processing is seen as an aspect of proof theory.
A wide spectrum of substructural subsystems of
intuitionistic propositional logic and of Nelson's
constructive logic with strong negation is investigated. In
particular, the problems of cut-elimination, functional
completeness, and coding of proofs with lambda-terms are
handled. Finally, an interpretation of these systems in
terms of states of information and operations over these
states is presented.

Zielgruppe

Research

Autoren/Hrsg.

Wansing, Heinrich

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Robotik
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Algorithmen & Datenstrukturen
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Wissensbasierte Systeme, Expertensysteme

Inhaltsverzeichnis

Generalizations.- Intuitionistic minimal and intuitionistic information processing.- Functional completeness for substructural subsystems of IPL.- Formulas-as-types for substructural subsystems of IPL.- Constructive minimal and constructive information processing.- Functional completeness for substructural subsystems of N.- The constructive typed ?-calculus ?c and formulas-as-types for N?.- Monoid models and the informational interpretation of substructural propositional logics.