The Logic of Information Structures (Lecture Notes in Computer Science / Lecture Notes in Artificial Intelligence)
Book format: An electronic version of a printed book that can be read on a computer or handheld device designed specifically for this purpose.
Publisher: Date:9/10/1993 - Springer
By: Heinrich Wansing
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.