Many-valued logics are becoming increasingly important in many branches of science. This is the second volume of a comprehensive two-volume handbook on many-valued logics by two leading members of the famous Polish school of logic. While the first volume was mainly concerned with theoretical foundations, this volume emphasizes automated reasoning, practical applications, and latest developments in closely related fields, such as fuzzy logics and rough set theory. It offers an extensive overview of Gentzen deduction systems and multi-sequential systems in many-valued logics and shows the application of the resolution principle to such logics. It discusses applications in such areas as software specification and electronic circuit verification and presents fuzzy logics and rough set theory in detail.
Preface.- Basic Notions and Results.- Gentzen Systems for n-valued Logical Calculi.- Multisequential Systems of Takahashi and Rousseau for Finitely-Valued Logics.- The Resolution Principle in n-valued Logics.- Minimization Problems in Resolution Proof Systems.- Resolution in Finitely Valued First Order Predicate Calculi.- Overview of Applications.- Selected Applications of Fuzzy Set Theory.- Selected Applications of Rough Set Theory.- Bibliography.- Index.