# Handbook of Mathematical Fuzzy Logic

The Hanbook of Mathematical Fuzzy Logic is a series of books collecting the state of the art in the main trends of Mathematical Fuzzy Logic. It will be published by College Publications, and edited by Petr Cintula, Petr Hájek and Carles Noguera.

## Volume I

Chapter I: Introduction to Mathematical Fuzzy Logic (written by Libor Běhounek, Petr Cintula and Petr Hájek). Chapter II: A General Framework for Mathematical Fuzzy Logic (written by Petr Cintula and Carles Noguera). Chapter III: Algebraic Semantics (written by Rostislav Horčík). Chapter IV: Proof Theory (written by George Metcalfe). Chapter V: Lukasiewicz Logic and MV-Algebras (written by Antonio Di Nola and Ioana Leustean). Chapter VI: Gödel-Dummett Logics (written by Matthias Baaz and Norbert Preining). Chapter VII: Basic Fuzzy Logic and BL-Algebras (written by Manuela Busaniche and Franco Montagna). Chapter VIII: Logics with Enriched Language (written by Francesc Esteva, Lluís Godo and Enrico Marchioni). Chapter IX: Free Algebras and Functional Representation (written by Stefano Aguzzoli, Simone Bova and Brunella Gerla). Chapter X: Computational Complexity of Propositional Fuzzy Logics (written by Zuzana Haniková). Chapter XI: Arithmetical Complexity of First-Order Fuzzy Logics (written Petr Hájek, Franco Montagna and Carles Noguera).