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.