The logic of information structures
著者
書誌事項
The logic of information structures
（Lecture notes in computer science, 681 . Lecture notes in artificial intelligence）
Springer-Verlag, c1993
- : us
- : gw
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注記
Revision of the author's doctoral thesis (Fachbereich Philosophie und Sozialwissenschaften I of the Free University of Berlin)
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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.
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