The Logic of Information Structures

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.

• | Author: Heinrich Wansing
• | Publisher: Springer
• | Publication Date: Jul 29, 1993
• | Number of Pages: 168 pages
• | Binding: Paperback or Softback
• | ISBN-10: 3540567348
• | ISBN-13: 9783540567349