Daniele Mundici
- Curriculum vitae (as of July 2011)
- Papers
· Biographical Data
- Married to Maria Cecilia Frattin
- Father of Sara and Elena
- Italian citizen
· Education
- 1965: Maturità, Liceo Classico "L. A. Muratori", Modena
- 1970: Laurea in Physics, University of Modena
· Employment Record
- 1970-72: Assistant Lecturer in Physics, University of Asmara (Eritrea), Volontario di Servizio Civile (Civil Service Volunteer)
- 1973-77: Junior School Teacher in Scuola Media Statale M. Guerri, Reggello (Florence)
- 1978-82: High School Teacher in Liceo Scientifico Statale G. Castelnuovo, Florence
- 1983-87: Assistant Professor (Ricercatore) in the Department of Mathematics "Ulisse Dini", University of Florence
- October 1987-October 2002: Full Professor of Computer Science, Department of Computer Science, University of Milan
- November 2002-present: Full Professor of Mathematical Logic, Department of Mathematics "Ulisse Dini", University of Florence
· Visiting
- Institute of Advanced Studies of the University of São Paulo (1991)
- Banach Center of Warsaw (1996)
- Humboldt University of Berlin (1989, 2000)
- Czech Academy of Sciences, Prague (several times)
- State University of Campinas, Brazil (several times)
- University of Buenos Aires (several times)
- University of La Plata (2000, 2001)
- Institute for Catalan Studies, Barcelona (1997)
- Center for Machine Perception, Charles University of Prague (2003, 2008)
- Short visits in the Universities of: Amsterdam, Angers, Barcelona, Basel, Bern, Bielefeld (ZIF), Bratislava, Bruxelles, Cambridge, Dortmund, Freiburg i.Br., Haifa, Heidelberg, Karlsruhe, Linz, Malaga, Mexico City, Oxford, Paris, Pisa (Scuola Normale Superiore), Prague, Stanford, Utrecht, Vanderbilt (Nashville), Vienna, and many others
· Academies
- International Academy of Philosophy of Science, Bruxelles, Member since 1995
- National Academy of Exact, Physical and Natural Sciences, Argentina, Corresponding Member since 2000
· Honors and Awards
- Alfiere del Lavoro, Rome 1965, awarded by the President of the Italian Republic, (award based on Maturità examination results)
- President, Associazione Italiana di Logica e sue Applicazioni, AILA, 1993-1996
- President, Kurt Gödel Society, Vienna, 1993-1996
- Member ot the Scientific Committee of the Centro de Logica, Epistemologia e História da Ciência, State University of Campinas, Brazil, 1995-present
- Member ot the Scientific Council of the European Association for Computer Science Logic, EACSL, 1993-present
- Distinguished Visiting Professor in the University of Bahía Blanca, Argentina, 1999
- Member of the Advisory Board of the Centro de Algebra, University of Lisbon, 2003-present
· Selected Administrative Positions
- Secretary of the Scientific Committee of the Group for Algebra and Geometry in the Istituto Nazionale Alta Matematica (National Institute of Advanced Mathematics) "Francesco Severi", (GNSAGA-INDAM), 1997-present
- Coordinator for the University of Florence of the IRSES Marie-Curie Project on "Mathematical Tools for the Management of Uncertain and Vague Information", (Acronym: MaToMUVI), 2011-2013.
- Coordinator (Florence-Siena Research Unit) of the National 2008 PRIN-COFIN Project on "Many-Valued Logic", Italian Ministry of Science and Technology, 2010-2012
- Coordinator (Florence-Milan Research Unit) of four National PRIN-COFIN Projects on "Many-Valued Logic", Italian Ministry of Science and Technology,1999-2006
- Vice-President, European Community Action Cost 15 on "Many-valued Logics for Computer Science Applications", 1994-1999
- Member of the Standing Committee, Schools of the European Foundation on Logic, Language and Information, ESSLI, 1995-1998
- Coordinator of the Ph.D. program in Computer Science of the Department of Computer Science of the University of Milan, 1992-1999
- Italian Coordinator of the bilateral project with Austria on "Analytic Methods in Many-valued Logic", 1998-2001
- Italian Coordinator of the bilateral project of scientific and technological cooperation with Argentina on "Many-valued Logic", signed in Buenos Aires on December 12, 2001
- Italian Coordinator of the bilateral project 39 of scientific and technological cooperation with Argentina, signed in Buenos Aires, December 2004, on "Information under Uncertain Conditions: from Foundations to Applications"
· Editorial Boards
- Trends in Logic, Kluwer-Springer, Book Series Editor, 1995-present
- Advances in Applied Mathematics, Elsevier, Editor, 1995-2010
- Studia Logica, Springer, Managing Editor, 1993-present
- Journal of Algebra and its Applications, World Scientific, Editor, 2002-present
- Journal of Multiple-valued Logic and Soft Computing, OCP Publishers, Editor, 2002-present
- Studies in Logic, Sun Yat-sen University (Guangzhou) and Chinese Association of Logic, 2008-present
- Journal of Logic, Language and Information, Kluwer, Editor, 1991-1999
- Annals of Pure and Applied Logic, North-Holland, Advisory Editor, 1990-1995
- International Schools for Computer Science Researchers, Oxford University Press, Book Series Editor, 1993-1997
· Proceedings Editor
- (with G. Gottlob and A. Leitsch) Proceedings Goedel Symposium held in Brno, Lecture Notes in Computer Science, Vol. 713, 1993
- (with P. Miglioli, U. Moscato, M. Ornaghi) Theorem Proving with Analytic Tableaux: Proceedings of Tableaux 96 Conference, held in Palermo, Italy, in May 1996, Lecture Notes in Artificial Intelligence Vol. 1071, 1996
- L'insegnamento della Logica, (The Teaching of Logic), Jointly published by the Italian Society of Logic and its Applications, AILA, and Italian Ministry of Education, 1996
- (with J. Van Benthem, M. Dalla Chiara and K. Doets) Logic and Scientific Methods: Proceedings of the Tenth International Congress of Logic, Methodology and Philosophy of Science, Florence, August 1995, Kluwer Academic Publishers, Synthese Library (1997) Vol. 259
- (with J. Van Benthem, M. Dalla Chiara and K. Doets) Structures and Norms in Science: Proceedings of the Tenth International Congress of Logic, Methodology and Philosophy of Science, Florence, August 1995, Kluwer Academic Publishers, Synthese Library (1997) Vol. 260
- (with A. Marcja and M. Boffa) Proceedings AILA-KGS Meeting in Model Theory, Florence 1995, Annals of Pure and Applied Logic, vol 88, 1997
- (with G. Gottlob and A. Leitsch) Computational Logic and Proof Theory, Proceedings 5th Gödel Colloquium, Lecture Notes in Computer Science, Vol. 1289, 1997
- Many-valued logics, Special issue of Studia Logica, Vol. 61.1, 1998
- (with M. Dalla Chiara) Special issue of Studia Logica, in honor of Ettore Casari on his 65th birthday, Vol. 62.2, 1999
- Logics of Uncertainty, Special issue of Journal of Logic, Language and Information, Vol. 9, 2000
- (with S. Ghilardi) Constructivism in non-classical logics and computer science, Special issue of Studia Logica in memoriam Pierangelo Miglioli, Vol. 73.1, 2003
- (with F. Cicalese and U. Vaccaro) Combinatorics of Searching, Sorting and Coding, special issue of Discrete Applied Mathematics, Vol. 137.1, 2004
- (with Shier Ju) Many-valued logic and cognition, Studia Logica, Vol. 90.1, 2008
- (with E. Agazzi and I.M.L.D'Ottaviano) Proceedings of the CLE-AIPS event honoring Newton da Costa, Campinas, Sao Paulo Brazil, August 2009. Three books of proceedings are printed as special issues of Studia Logica Vol. 97.1, Manuscrito, and Principia
· Invited Plenary Lectures (a selection)
- ASL European Logic Colloquium in Florence (1982), Padova (1988) and Keele, UK (1993)
- Oberwolfach meetings in Mathematics (various)
- Dagstuhl meetings in Computer Science (various)
- Latin-American Symposia in Mathematical Logic (various)
- Marseille-Luminy Rencontres in Mathematics (various)
- Easter Conferences in Model Theory, Berlin, (all 10 editions)
- Order in Algebra and Logic, Istituto Italiano per gli Studi Filosofici, Naples, Oxford, Galway, Marseille, Barcelona
- Computer Science Logic (various)
- Congress on Model Theory and Algebra, Dresda, Germany, 1995 (opening address)
- Congress on Geometry and Combinatorics, Varenna, Italy, 1995
- Brazilian Logic Conference, Salvador Bahia, Brazil, 1996
- International Symposium on Logic and Computer Science, Queretaro, Mexico, 1997
- IFSA Symposium, Bruxelles (1991) and Prague (1997)
- Springer-Verlag Forum on Soft Computing, Prague 1997
- Stanislav Jaskowski symposium, Torun, Poland, 1998 (opening address)
- Congress in memoriam Antonio Monteiro, Bahia Blanca, Argentina, 1999 (opening address)
- Grigore Moisil Symposium, Bucharest, 1999 (opening address)
- Festschrift in honor of Ettore Casari, Florence, 1999
- Congress In memoriam Gian-Carlo Rota, Maratea, Italy, 1999
- IFSA 2000, Liptowski Mikulas, Slovakia, 2000 (opening address)
- World Congress on Paraconsistency, in honor of Newton C.A.da Costa, Brazil, 2000.
- Workshop on Latticeordered groups and f-rings, Gainesville, Florida, USA, 2001
- IQSA Congress (International Quantum Structures Association), Cesena, Italy 2001
- XIV Coloquio Latinoamericano de Algebra, La Falda, Cordoba, Argentina, (closing address) 2001
- FSTA2002, Liptovsky Mikulas, Slovak Republic, 2002 (opening address)
- Learning and the art of fault-tolerant guesswork, ZIF, Bielefeld, Germany, 2002
- Chang's MV-algebras and abelian l-groups with unit: a fruitful interaction, Cambridge, UK 2002
- 32nd IEEE International Symposium for multiple-valued logic, Boston, Massachusetts, USA, 2002
- International Conference on Modern Algebra, honoring the 60th Birthday of Ralph McKenzie, Vanderbilt University, Nashville, Tennessee, USA 2002
- First Italian-American UMI-AMS meeting, Pisa, Italy, 2002
- Congress on Algebra and Substructural Logics, JAIST, Kanazawa, Japan, 2002 (opening address)
- Conference on Lattices, Universal Algebra and Algebraic Logic, Lisbon 2003
- Conference on 50 Years of Studia Logica, Roskilde University, Denmark, 2003
- ESSLI School on Logic, Language and Information, Vienna, 2003 (Invited Evening Lecture)
- Conference on Residuated Structures and many-valued Logics, Patras, June 2004
- Conference on The challenges of Semantics, Vienna, July 2004
- Conference on Algebra, logic and cybernetics, in honour of the 75-th anniversary of the birth of A.I. Kokorin. Irkutsk, Russia, August 2004
- Adaptive Coding and its Logic in the First Indian Conference on Logic and Applications, Mumbay, India, January 2005
- Conference in Ring Theory, March 2005, Athens, Ohio, USA
- Conference on Algebra and Applications, Vienna, May 2005
- The Logic of Soft Computing, Ostrava, October 2005
- Ordered structures 2006, Gainesville, Florida, USA, March 2006
- 7th International FLINS Conference on Applied Artificial Intelligence, FLINS06, Genoa, Italy, August 2006
- Studia Logica International Conference Towards Mathematical Philosophy, Trends in Logic IV, Torun, Poland, September 1-4, 2006
- Conference in honour A. Wronski, Krakow, November 4-8, 2006
- IX Congreso A. Monteiro, Bahia Blanca, Argentina, May 30-June 1, 2007
- Colloquium in honor of Antonio Aniceto Monteiro, Lisbon, Portugal, June 4-5, 2007 (closing address)
- Order, Algebra and Logics, Vanderbilt University, Nashville, Tennessee USA, June 12-16, 2007 (opening address)
- Studia Logica International Conference Trends in Logic V, Many-Valued Logic and Cognition Guangzhou, China, July 6 - 9, 2007 (opening address)
- Celebrations of the 30th anniversary of the CLE-UNICAMP, Campinas, SP, Brazil, September 2007
- 18th Congress of the Italian Mathematical Union, UMI, Bari, Italy, September 2007
- Ordered Algebraic Structures, Van\-der\-bilt Univ., Nashville, USA, March 2008
- Algebraic Logic and residuated structures, Institute for Advanced Mathematics, IAM, Buenos Aires, April 2008, opening address
- Nonclassical Logics and their Applications, Scuola Normale Superiore Pisa, Centro Ennio De Giorgi, April 2008
- The Paul Conrad legacy, Univ. of Florida, Gainesville, USA, May 2008
- Many-valued logic, University of Milan, Italy, May 2008
- Conference in honor Beppo Levi, Rome, Istituto Italo Latino Americano, June 2008
- Conference in honor Francesc Esteva, Univ. Autonoma Barcelona, November 2008
- 30th Linz Seminar, Linz University, February 2009.
- The digital footprint of Gian-Carlo Rota, Milan, February 2009
- Linz 30th Seminar, Linz, February 2009
- OAL Conference on Ordered Structures and Algebraic Logic, Vanderbilt, Nashville, TN, March 2009
- Probability and algebra in many-valued logics, Darmstadt, May 2009
- ORD/OAL, Celebrating Charles Holland, Bowling Green, OH, June 2009
- Tenth European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty ECSQARU09, Verona, July 2009
- Campinas, SP, Brazil, Conference in honor Newton da Costa, August 2009 (Closing address)
- Beauty of Logic, honoring Petr Hàjek on his 70th birthday, Prague, February 2010 (Closing address)
- Mathematical Colloquium, University of Barcelona, May 2010
- ISMVL 2010, Barcelona, May 2010
- Opening address in the conference MFCS-CSL, (Mathematical Foundation of Computer Science-Computer Science Logic), Brno, Czech Republic, August 2010
- Opening address in the Conference on Order in Algebra and Logic, OAL, Buenos Aires, October 2010
- Colloquia Patavina, University of Padua, April 2011
- Mathematical Colloquium, Department of Mathematics and Statistics, University of Bern, April 2011
- Second International Conference on Order, Algebra, and Logics: honoring Ralph McKenzie, Hiroakira Ono, and Andrzej Wronski, Krakow, June 2011
- Invited talk in the Mathematical Colloquium, Sante Fe, Argentina, August 2011
- Ordered groups and lattices in algebraic logic, Tbilisi, Georgia, September 2011
· Selected Short Courses
- Abstract Model Theory, Siena, Italy, 1986
- AF C*-algebras, l-groups and MV-algebras, Paris VII, 1987
- Logic of adaptive Coding, Campinas, Brazil, 1988
- Complexity of Boolean Functions, Acireale, Italy, 1989
- Automated Deduction, Siena 1991
- Algebraic Logic, Mendoza, Argentina, 1994
- Algebraic Logic, Centre de Recerca Matematica, Barcelona, 1997
- Algebraic Foundations of many-valued Reasoning, Buenos Aires, 1998
- Algebraic Logic, Merida, Venezuela, 1998
- Nonboolean partitions, Crete, Greece, 1999
- An Invitation to many-valued Logic, Bahia Blanca, Argentina, 1999
- Many-valued logic: from coding theory to operator algebras, Third Panhellenic Logic Symposium, Anogia, Greece, 2001
- Combinatorial fans, lattice-groups and many-valued logic, 47th Séminaire Lotharingien de Combinatoire, Bertinoro, Italy, 2001
- Logic, Collegio Ghislieri, Pavia, 2001-2002
- The logic of imprecisely defined functions, International School on Neural Nets, 5th Course, Ettore Majorana Foundation, Erice, Italy, 2002
- Many-Valued Logic, Mumbay, India, January 2005, during the First International Conference on Logic and its Applications
- MV-algebras, Sorrento, Naples, May 2006 (Symposium on Ordered Structures in Many-valued Logic)
- Recent results in many-valued logic, Bahia Blanca, Argentina, 2007
- An introduction to many-valued logic, Guangzhou, Cina, 2007
- Logic and Polyhedra, Campinas, Brazil, September 2007
· Referee for
- Various American and European Universities, for promotion and tenure
- Various international publishers, for books in logic and computer science
- Landau Network-Centro Volta, Villa Olmo, Como, Italy
- International Association for the Promotion of Co-operation with Scientists from the New Independent States of the former Soviet Union, INTAS, Brussels, Belgium (1999-2002)
- Third World Academy of Sciences, TWAS, Trieste, Italy (1995-2000)
- Various International Committees and Agencies for the evaluation of research projects
· Selected Scientific Committees
- Logic Colloquium, Padova, Italy, 1988, Program Committee member
- Mathematical Foundations of Computer Science, MFCS 1990, Banska Bystrica, Slovakia, 1990, Program Committee member
- International School for Computer Science Researchers, Acireale, Italy, Director of the first (1989) and of the third (1991) School
- Fourth European Summer School in Language Logic and Information, Essex, UK, 1992, Coordinator of the Area of Computation
- International Seminars of the Johannes Kepler University of Linz, Austria, since 1992
- Goedel Colloquium, held in Brno, Czech Republic, 1993, Program Committee member
- International Congress for the 60th Birthday of Roberto Magari, Siena, Italy, 1994, Chairman of the Program Committee
- Order in Algebra and Logic V, Oxford, 1995, Chairman of Program Committee
- Second World Conference on the Fundamentals of Artificial Intelligence, Paris, 1995, Program Committee member
- ASL Logic Colloquium, Haifa, Israel, 1995, Program Committee member
- International IUHPS Symposium in Logic, Methodology and Philosophy of Science, Florence 1995, Member of the General Program Committee
- AILA-KGS Meeting on Model Theory, Florence 1995, Chairman of the Scientific Committee
- Goedel Colloquium, Brno, 1996, Chairman of the Scientific Committee
- Theorem Proving with Analytic Tableaux, Palermo, Italy, 1996, Program Committee member
- Order in Algebra and Logic VI, in honor of Giuseppe Tallini, Galway, Ireland, 1996, Chairman of the Program Committee
- Computational logic and proof theory, Goedel Colloquium, Vienna, 1997, Chairman of the Scientific Committee
- Order in Algebra and Logic VII, CIRM Marseille-Luminy, France, during April 1997, Chairman of Program Committee
- Meeting on Multiple-valued logic, Dagstuhl, Germany, October 1997, Organizer
- 4th Barcelona Logic Meeting, February 1998, Program Committee member
- National School of the Italian Ph D programs in Computer Science, Bertinoro, Bologna, Italy, May, 1998, Director of the School
- Eleventh Latin American Symposium on Mathematical Logic, Merida, Venezuela, 1998, Program Committee member
- 6th European Workshop on Logics in AI, JELIA'98, Dagstuhl, Germany, 1998, Program Committee member
- Logic Colloquium, Prague, 1998, Program Committee member, Chairman of a Special Session on Many-valued and Fuzzy Logic
- Workshop on Logic and Physics of Commputation, Ettore Majorana Centre for Physics, Erice, Italy, Director, 1999
- Constructivism in non-classical logic and computer science, (in memoriam Pierangelo Miglioli) Mantua, Italy, 2000, Program Committee member
- COSSAC, Combinatorics of Searching, Sorting and Coding, Ischia, Italy, 2001, Program Committee member.
- The Logic of Soft Computing, Gargnano, Brescia, Italy, 2001, Chairman of the Program Committee
- SOFSEM, Prague, 2000-2001-2002, Program Committee member.
- Logic, Methodology and Philosophy of Science, Oviedo 2003, member of the committee on Philosophical Logic
- First Florence-Vienna Workshop on Logic and Computation, Florence January 2004, Chairman of the program committee
- General Theory of Information Transfer, ZIF, Bielefeld, April 2004, co-organizer
- Beauty of Logic, Celebrating Petr Hajek's 65th birthday, Prague, February 2005, Chairman of the Program Committee
- Second Vienna-Florence meeting in Logic and Computation, Florence, November 2005, Chairman of the Program Committee
- Gödel Prize for Young Scholars, Vienna, April 2006, Member of the Selection Committee
- Residuated structures: algebra and logic, Buenos Aires, April 2008, Member of the Program Committee
- CLE-AIPS Event in honor Newton da Costa, UNICAMP Campinas, SP, Brazil, August 2009, co-chair of the Program Committee
- Conference on Rationality, Probability and Logic, Pontignano and Pisa, Scuola Normale Superiore, November 2009, Member of the Program Committee
- Logic, Algebra and Truth Degrees 2010, Prague, September 2010, Member of the Program Committee
- Algebraic Semantics for Uncertainty and Vagueness, Salerno, May 2011, Member of the Program Committee
- Ordered groups and lattices in algebraic logic, Tbilisi, Georgia, September 2011, Member of the Program Committee.
· Ph D Thesis Advisor
- Stefano Aguzzoli, Proof-theory in many-valued logic
- Danilo Bruschi, Separation techniques for complexity classes
- Agata Ciabattoni, Proof-theory in many-valued logics
- Ferdinando Cicalese, Coding with feedback
- Ernesto Damiani, Algebraic techniques in space decomposition
- Brunella Gerla, Many-valued logics of continuous t-norms
- Reiner Hähnle, Automated deduction in multiple-valued logics
- Corrado Manara, Non-boolean partitions and interpretable control systems
- Vincenzo Marra, Many-valued partitions and l-groups
- Nicola Olivetti, Algorithmic proof-theory for nonclassical logic
- Giovanni Panti, Many valued logic and its applications
· Publications
- 4 books authored
- 7 books edited
- 8 special issues edited
- over 145 articles published
· Scientific Papers
- Robinson consistency theorem in soft model theory, Rendiconti Accademia Lincei Mat. Appl., 67 (1979) 383-386.
- Natural limitations of algorithmic procedures in logic, Rendiconti Accademia Lincei Mat. Appl., 69 (1980) 101-105.
- Ergodic undefinability in set theory and recursion theory, Proc. Amer. Math. Soc., 82 (1981) 107-111.
- Robinson's consistency theorem in soft model theory, Trans. Amer. Math. Soc., 263 (1981) 231-241.
- Irreversibility, uncertainty, relativity and computer limitations, Il Nuovo Cimento, Europhysics J., 61 B, n. 2 (1981) 297-305.
- Applications of many-sorted Robinson consistency theorem, Zeit.math.Logik, 27 (1981) 181-188.
- A group-theoretical invariant for elementary equivalence and its role in representations of elementary classes, Studia Logica, 40 (1981) 253-267.
- An algebraic result about soft model theoretical equivalence relations with an application to H. Friedman's fourth problem, J. Symbolic Logic, 46 (1981) 523-530.
- Craig's interpolation theorem in computation theory, Rendiconti Accademia Lincei Mat. Appl., 70 (1981) 6-11.
- Duality between logics and equivalence relations, Trans.Amer.Math.Soc., 270 (1982) 111-129.
- Compactness, interpolation and Friedman's third problem, Annals of Mathematical Logic, 22 (1982) 197-211.
- Interpolation, compactness and JEP in soft model theory, Archiv math. Logik, 22 (1982) 61-67.
- Complexity of Craig's interpolation, Fundamenta Informaticae, 5 (1982) 261-278.
- L-embedding, amalgamation and L-elementary equivalence, Rendiconti Accademia Lincei Mat. Appl., 72 (1982) 312-314.
- Compactness = JEP in any logic, Fundamenta Mathematicae, 116 (1983) 99-108.
- A lower bound for the complexity of Craig's interpolants in sentential logic, Archiv math.Logik, 23 (1983) 27-36.
- Natural limitations of decision procedures for arithmetic with bounded quantifiers, Archiv math.Logik, 23 (1983) 37-54.
- ∆-tautologies, uniform and nonuniform upper bounds in computation theory, Rendiconti Accademia Lincei Mat. Appl., 75 (1983) 99-101.
- Abstract model theory and nets of C*-algebras: noncommutative interpolation and preservation properties, Lecture Notes in Math., 1103 (1984) 351-377.
- A generalization of abstract model theory, Fundamenta Mathematicae, 124 (1984) 1-25.
- Embeddings, amalgamation and elementary equivalence: the representation of compact logics, Fundamenta Mathematicae, 124 (1984) 109-122.
- NP and Craig's interpolation theorem, In: Proceedings Logic Colloquium '82, Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, (1984), 345-358.
- Tautologies with a unique Craig interpolant, uniform vs. nonuniform complexity, Annals of Pure and Applied Logic, 27 (1984) 265-273.
- Model-theoretic logics, AF C*-algebras and many-valued calculi, In: Scienza e Filosofia, Saggi in Onore di Ludovico Geymonat, Garzanti, Milano, (1985), 480-493.
- Other Quantifiers: an Overview, Chapter VI In: Model-Theoretic Logics, Edited by J. Barwise and S. Feferman, Perspectives in Math.Logic, Springer, New York, (1985), 211-233.
- (with J.A.Makowsky) Abstract Equivalence Relations, Chapter XIX In: Model-Theoretic Logics, Edited by J. Barwise and S. Feferman, Perspectives in Math.Logic, Springer, New York, (1985), 717-746.
- Algebraic many-valued logic and models of physical systems, In: Atti del Congresso Logica e Filosofia della Scienza, oggi, Vol. 1, CLUEB, Bologna, (1986), 83-93.
- MV-algebras are categorically equivalent to bounded commutative BCK-algebras, Math.Japonica, 31 (1986) 889-894.
- Inverse topological systems and compactness in abstract model theory, J. Symbolic Logic, 51 (1986) 785-794.
- Mapping abelian l-groups with strong unit one-one into MV-algebras, J. Algebra, 98 (1986) 76-81.
- Interpretation of AF C*-algebras in Łukasiewicz sentential calculus, J. Functional Analysis, 65 (1986) 15-63.
- Bounded commutative BCK-algebras have the amalgamation property, Math. Japonica, 32 (1987) 279-282.
- Every abelian l-group with two positive generators is ultrasimplicial, J. Algebra, 105 (1987) 236-241.
- (with F. Ammannati, P. Mennonna, R. De Dominicis, G. Dal Pozzo, C. Fonda, G. Pazzaglini, B. Lehmann), CT-guided stereotactic biopsy of endocranial lesions, La Radiologia Medica, 74 (1987) 34-38.
- A simple construction of Robinson equivalence relations, Proc. Amer. Math. Soc., 101 (1987) 139-141.
- The Turing complexity of AF C*-algebras with lattice-ordered K0, Lecture Notes in Computer Science, 270 (1987) 256-264.
- Satisfiability in many-valued sentential logic is NP-complete, Theoretical Computer Science, 52 (1987) 145-153.
- The derivative of truth in Łukasiewicz sentential calculus, In: Proc. VII Latin American Symp. on Math. Logic, Contemporary Mathematics, Vol. 69 (1988) 209-227.
- Free products in the category of abelian l-groups with strong unit, J. Algebra, 113 (1988) 89-109.
- Farey stellar subdivisions, ultrasimplicial groups, and K0 of AF C*-algebras, Advances in Math., 68 (1988) 23-39.
- (with J. Czyzowicz and A. Pelc), Solution of Ulam's problem on binary search with two lies, J.Combinatorial Theory, Series A, 49 (1988) 384-388.
- Polynomial time complexity of certain AF C*-algebras, In: Atti del Congresso: Temi e prospettive della logica e della filosofia della scienza contemporanee, Vol. 1, CLUEB, Bologna, (1988), 151-158.
- Functions computed by monotone Boolean formulas with no repeated variables, Theoretical Computer Science, 66 (1989) 113-114.
- The C*-algebras of three-valued logic, In: Proceedings Logic Colloquium 1988, R. Ferro, C. Bonotto, S. Valentini, A. Zanardo, (Eds.), Studies in Logic and the Foundations of Mathematics, Amsterdam: North-Holland, (1989), 61-77.
- (with J. Czyzowicz and A. Pelc), Ulam's searching game with lies, J. Combinatorial Theory, Series A, 52 (1989) 62-76.
- Reducibility of monotone formulas to µ-formulas, Lecture Notes in Computer Science, 440 (1990) 267-270.
- Approximately finite-dimensional C*-algebras, abelian l-groups, and Łukasiewicz infinite-valued logic, Publications Mathematiques de l'Université Paris VII, Seminar on Ordered Algebraic Structures, Vol. 2, (1990) 99-115.
- Algebras of Ulam's games with lies, In: Proceedings International Congress of the Italian Society for Logic and Philosophy of Science, SILFS, Vol. 2, CLUEB, Bologna, (1991), 151-162.
- The complexity of adaptive error-correcting codes, Lecture Notes in Computer Science, 533 (1991) 300-307.
- Solution of Rota's problem on the order of series-parallel networks, Advances in Applied Mathematics, 12 (1991) 455-463.
- Logic and algebra in Ulam's searching game with lies, Yearbook of the Gödel Society, (1991) 109-114.
- Turing complexity of Behncke-Leptin C*-algebras with a two-point dual, Annals of Mathematics and Artificial Intelligence, 6 (1992) 287-294.
- The logic of Ulam's game with lies, In: Knowledge, Belief and Strategic Interaction, Cambridge Studies in Probability, Induction, and Decision Theory, 1992, 275-284.
- Normal forms in infinite-valued logic: the case of one variable, Lecture Notes in Computer Science, 626 (1992) 272-277.
- Ulam's games, Łukasiewicz logic, and AF C*-algebras, Fundamenta Informaticae, 18 (1993) 151-161.
- (with G.A. Elliott) A characterization of lattice-ordered abelian groups, Mathematische Zeitschrift, 213 (1993) 179-185.
- (with G. Panti) Extending addition in Elliott's local semigroup, Journal of Functional Analysis, 117 (1993) 461-471.
- (with G.A. Elliott and R. Cignoli) Reconstructing C*-algebras from their Murray von Neumann orders, Advances in Mathematics, 101 (1993) 166-179.
- Logic of infinite quantum systems, International Journal of Theoretical Physics, 32 (1993) 1941-1955.
- K0, relative dimension and the C*-algebras of Post logic, In: IX Latin American Symposium on Mathematical Logic, Bahia Blanca, Notas de Logica Matematica, v. 38, part I, (1994) 83-92.
- A constructive proof of McNaughton's theorem, Journal of Symbolic Logic, 59 (1994) 596-602.
- (with S.Aguzzoli), An algorithmic desingularization of 3-dimensional toric varieties, Tohoku Math. Journal, 46 (1994) 557-572.
- (with R. Cignoli and I.M.L. D'Ottaviano), Algebras of Łukasiewicz Logics, (in Portuguese), Collection CLE, Vol. 12, State University of Campinas, Campinas, San Paulo, Brazil, (1994), Second edition, 1995.
- (with M. Pasquetto) A proof of the completeness of the infinite-valued calculus of Łukasiewicz with one variable. In: Non-classical Logics and their Applications, Höhle, U., Klement, E.P.K. (Eds). Dordrecht: Kluwer Academic Publishers, (1995), 107-123.
- (with W. Sieg), Paper Machines, Philosophia Mathematica, (3) 3 (1995) 5-30.
- Averaging the truth value in Łukasiewicz sentential logic. Special issue in honor of Helena Rasiowa. Studia Logica, 55 (1995) 113-127.
- Łukasiewicz normal forms and toric desingularizations, In: Proceedings Logic Colloquium '93, W.Hodges et al., Eds., Oxford University Press, (1996), 401-423.
- Uncertainty measures in MV algebras, and states of AF C*-algebras, Special issue in memoriam Rolando Chuaqui, Notas de la Sociedad de Matematicas de Chile, 15 (1996), 42-54.
- (with C.Cifuentes and A.Sette), Cauchy Completeness in elementary logic, Journal of Symbolic Logic, 61.4 (1996), 1153-1157.
- (with R. Cignoli) An elementary proof of Chang's completeness theorem. Special issue on the Mathematical Treatment of Uncertainty, Studia Logica, 58 (1997) 79-97.
- Gödel incompleteness and quantum thermodynamic limits, In: Philosophy of Mathematics Today, Kluwer Academic Publishers, (1997), 287-298.
- (with W. Sieg), Computability. Routledge Encyclopedia.
- (with R. Cignoli), An invitation to Chang's MV-algebras, In: Advances in Algebra and Model Theory, M. Droste, R. Goebel, Eds., Gordon and Breach Publishing Group, Reading, UK, (1997), 171-197.
- (with A. Trombetta), Optimal comparison strategies in Ulam's searching game with two errors, Theoretical Computer Science, 182 (1997) 217-232.
- Nonboolean partitions and their logic. (First Springer Forum on Soft Computing), Soft Computing, 2 (1998) 18-22.
- (with N. Olivetti), Resolution and model building in the infinite-valued calculus of Łukasiewicz, Theoretical Computer Science, 200 (1998) 335-366.
- (with R. Cignoli) An elementary presentation of the equivalence between MV-algebras and l-groups with strong unit, Studia Logica, 61 (1998) 49-64.
- (with G. Panti) Twenty questions with many-valued answers, In: Models, algebras, and proofs, Selected papers of the Xth Latin American Symposium on Mathematical Logic, X. Caicedo, C.H. Montenegro, Eds. Marcel Dekker, Inc., New York, Basel, (1999), 295-313.
- Tensor Products and the Loomis-Sikorski theorem for MV-algebras, Advances in Applied Mathematics, 22 (1999) 227-248.
- (with G. Panti) A constructive proof that every 3-generated l-group is ultrasimplicial, Banach Center Publications, Vol. 46 (1999) 169-178.
- Classes of ultrasimplicial lattice-ordered abelian groups, Journal of Algebra, 213 (1999) 596-603.
- (with F. Cicalese) Optimal binary search with two unreliable tests and minimum adaptiveness, In: Proc. European Symposium on Algorithms, ESA `99, J. Nesetril, Ed., Lecture Notes in Computer Science, 1643 (1999) 257-266.
- Ulam game, the logic of Maxsat, and many-valued partitions, In: Fuzzy Sets, Logics and Reasoning about Knowledge, D. Dubois, H. Prade, E.P.Klement, Eds., Kluwer Academic Publishers, (1999), 121-137.
- (with J.Gispert and A. Torrens) Ultraproducts of Z with an application to many-valued logics, Journal of Algebra, 219 (1999) 214-233.
- Foreword: Logics of Uncertainty, Journal of Logic, Language and Information, 9 (2000) 1-3.
- (with R. Cignoli and I.M.L.D'Ottaviano), Algebraic Foundations of many-valued Reasoning, Trends in Logic, Vol. 7, Kluwer Academic Publishers, Dordrecht, (2000).
- (with F. Cicalese), Perfect two fault-tolerant search with minimum adaptiveness, Advances in Applied Mathematics, 25 (2000) 65-101.
- (with F. Cicalese and U.Vaccaro), Least adaptive optimal search with unreliable tests, Proceedings SWAT2000, Lecture Notes in Computer Science, 1851 (2000) 549-562.
- Reasoning on imprecisely defined functions, In: Discovering the World with Fuzzy Logic, V.Novak, I.Perfilieva, Eds., Studies in Fuzziness and Soft Computing, Vol. 57, Physica-Verlag, Springer, (2000) 331-366.
- (with F. Cicalese), Optimal coding with one asymmetric error: below the sphere packing bound, In: Proceedings COCOON2000, Lecture Notes in Computer Science, 1858 (2000) 159-169.
- (with C.Drossos), Many-valued points and equality, Special issue in honor Newton C.A.da Costa, Synthese, 125 (2000) 97-101.
- (with S.Aguzzoli), Weierstrass approximations by Łukasiewicz formulas with one quantified variable, In: Proceedings 31st IEEE Int. Symp. on Multiple-Valued Logic, ISMVL, (2001), 361-366.
- (with R. Cignoli), Partial isomorphisms on totally ordered abelian groups and Hajek's completeness theorem for basic logic, Multiple valued Logic, special issue dedicated to the memory of Grigore Moisil, Vol. 6 (2001) 89-94.
- (with F. Cicalese and U. Vaccaro), Rota-Metropolis cubic logic and Ulam-Rényi games, In: Algebraic Combinatorics and Computer Science: a tribute to Gian-Carlo Rota, (H. Crapo, D. Senato, Eds.), Springer-Italia, Milan, (2001), 197-244.
- (with G.Panti), Decidable and undecidable prime theories in infinite-valued logic, Annals of Pure and Applied Logic, 108 (2001) 269-278.
- Fault-tolerance and Rota-Metropolis cubic logic, In: Paraconsistency, Chapter 19, W. Carnielli et al., Eds., Marcell Dekker, Inc., (2002), 397-409.
- (with F. Cicalese and U. Vaccaro), Least adaptive optimal search with unreliable tests. Theoretical Computer Science, 270, (2002) 877-893.
- (with B. Riecan) Probability on MV-algebras, In: Handbook of Measure Theory, E. Pap, Ed., North-Holland, Amsterdam, (2002), 869-909.
- (with V. Marra,) Combinatorial fans, l-groups and their neighbours, a short excursion. Semin. Lothar. de Combinatoire, 47: Article B47f, (2002), an electronic journal.
- (with V. Marra,) MV-algebras and abelian l-groups: a fruitful interaction, In: Ordered Algebraic Structures, honoring Paul Conrad for his 80th Birthday, J.Martinez, Ed., Kluwer, (2002), 57-88.
- (with V. Marra,) Consequence and complexity in infinite-valued logic: a survey, In: Proceedings 32nd IEEE Int. Symp. on Multiple-Valued Logic, ISMVL, (2002), Boston, 104-114.
- If-then-else and rule extraction from two sets of rules, In: From Synapses to Rules, Proceedings of an International Workshop held at the Center for Physics "E. Majorana", Erice, Italy. B. Apolloni et al., Eds., Kluwer/Plenum, NY, (2002), 87-108.
- (with F. Cicalese,) Learning and the art of fault-tolerant guesswork, Handbook Chapter, In: Perspectives on Adaptivity and Learning. Stamatescu, I. et al., Eds., Springer, (2003), 117-143.
- (with S. Aguzzoli,) Weierstrass approximation theorem and Łukasiewicz formulas with one quantified variable, In: Beyond Two: Theory and applications of multiple-valued logic, E. Orlowska, M. Fitting, Eds., Physica-Verlag, Springer, Heidelberg, NY, (2003), 315-335.
- (with V.Marra), Łukasiewicz logic and Chang's MV algebras in action, In: 50 Years of Studia Logica, Trends in Logic, Vol. 21. V.Hendricks, J.Malinowski, Eds., Kluwer, Dordrecht, (2003), 145-192.
- (with A.De Simone and M.Navara), A Cantor-Bernstein theorem for sigma-complete MV-algebras, Czechoslovak Math.J, 53 (128), (2003), 437-447.
- (with R. Cignoli and E.Dubuc), An MV-algebraic invariant for boolean algebras with a finite-orbit automorphism, Tatra Mountains Math. Publications. Special issue in honour Prof. J.Jakubik on his 80th birthday, Vol. 27, (2003), 23-43.
- Simple Bratteli diagrams with a Goedel incomplete isomorphism problem, Transactions of the American Math. Soc., 356 (2004) 1937-1955.
- (with R. Cignoli and E.Dubuc), Extending Stone duality to multisets, Journal of Pure and Applied Algebra, 189 (2004) 37-59
- (with F. Cicalese, C. Deppe,) Q-ary Ulam-Rényi game with weighted constrained lies, In: Proceedings COCOON 2004, Lecture Notes in Computer Science, 3106 (2004) 82-91.
- (with J. Gispert) MV-algebras: a variety for magnitudes with archimedean units, Algebra Universalis, Special Issue in memoriam Wim Blok, 53.1 (2005) 7 - 43.
- Decidability and Gödel incompleteness in AF C*-algebras, Manuscrito, Rev. Int. Fil., Special Issue in honour I.M.L.D'Ottaviano on her 60th birthday, Vol. 28 (2005) 547-588.
- A Characterization of the free n-generated MV-algebra, Archive for Mathematical Logic, 45 (2006) 239-247.
- (with R. Cignoli, and M.Navara), Kleene-isomorphic sigma-complete MV-algebras with product are isomorphic, Multiple valued logics and soft computing, Special issue in memoriam H. Thiele, 12.1 (2006) 1-8.
- (with R. Cignoli), Stone duality for Dedekind sigma-complete l-groups with order-unit, Journal of Algebra, 302 (2006) 848-861.
- Bookmaking over infinite-valued events, International Journal of Approximate Reasoning, 43 (2006) 223-240.
- (with V. Marra), Riemann average truth-value of Łukasiewicz formulas, Special Issue in honour B. Riecan for his 70th birthday. Math. Slovaca, 56 (2006) 511-524.
- Representation of sigma-complete MV-algebras and their associated Dedekind sigma-complete l-groups, Contemporary Mathematics, AMS, Vol. 419, Oxford University Press, (2006) 219-230.
- Revisiting the free two-generator lattice-ordered abelian group, Journal of Pure and Applied Algebra, 208 (2007) 549-554.
- (with C. Manara and V. Marra), Lattice-ordered Abelian groups and Schauder bases of unimodular fans, Transactions of the American Mathematical Society, 359 (2007) 1593-1604.
- (with V. Marra, and A.M.W. Glass), Embedding in finitely presented lattice-ordered groups, In: Groups St. Andrews 2005, London Mathematical Society Lecture Notes Series, Vol. 340, Cambridge University Press, (2007) 438-444.
- (with M. Busaniche), Geometry of Robinson consistency in Łukasiewicz logic, Annals of Pure and Applied Logic, 147 (2007) 1-22.
- Free generating sets of lattice-ordered abelian groups, Journal of Pure and Applied Algebra, 211 (2007) 400-403.
- (with V. Marra), The Lebesgue state of a unital abelian l-group, Journal of Group Theory, 10 (2007) 655-684.
- (with J. Kühr), De Finetti theorem and Borel states in [0,1]-valued algebraic logic, International Journal of Approximate Reasoning, 46 (2007) 605-616.
- La logica dei poliedri, Bollettino Unione Matematica Italiana, special issue with the plenary invited talks in the UMI 18th Congress held in Bari, Italy, September 2007, IX, Vol. I, No. 2 (2008) 455-474.
- Geometry of filters in free MV-algebras, Boletim da Sociedade Portuguesa de Matematica, Special issue for the Proceedings of the Conference in honor A. A. Monteiro, (2008) 275-286.
- Łukasiewicz logic and De Finetti coherence criterion: recent developments, Studies in Logic, Chinese Association of Logic, 1.2 (2008) 1-16.
- Faithful and invariant conditional probability in Łukasiewicz logic. In: D. Makinson, J. Malinowski and H. Wansing (Eds.), Proceedings of the conference Trends in Logic IV, Torun, Poland, 2006, (Trends in Logic, Vol. 28). Springer, New York, (2008) 213-232.
- (with C. Tsinakis), Gödel incompleteness in AF C*-algebras, Forum Mathematicum, 20.6 (2008) 1071-1084.
- The Haar theorem for lattice-ordered abelian groups with order-unit, Discrete and Continuous Dynamical Systems, 21 (2008) 537-549.
- Rota, probability, algebra and logic, In: From Combinatorics to Philosophy, E. Damiani et al., (Eds.), Springer, New York, (2009) 167-181.
- Recognizing the Farey-Stern-Brocot AF algebra, Rendiconti Lincei Mat. Appl., 20 (2009) 327-338.
- Conditionals and independence in many-valued logics, In: Proceedings 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty ECSQARU09. C. Sossai and G. Chemello (Eds.), Lecture Notes in Artificial Intelligence, 5590 (2009) 16-21.
- Interpretation of de Finetti coherence criterion in Łukasiewicz logic, Annals of Pure and Applied Logic, 161 (2009) 235-245.
- (with L. Cabrer), Projective MV-algebras and rational polyhedra, Algebra Universalis, special issue in memoriam Paul Conrad, (J.Martinez et al., Eds.), 62 (2009) 63-74.
- From BL to MV, In: Witnessed Years. Essays in Honour Petr Hàjek, (P.Cintula et al., Eds.), College Publications, King's College, London, (2010), 273-286.
- (with J. Kühr), From free abelian groups to free abelian l-groups, Mathematica Slovaca, special issue honoring Charles Holland on his 75th birthday, 61(3) (2011) 1-12.
- A compact [0,1]-valued first-order Łukasiewicz logic with identity on Hilbert space, J. Logic and Computation, 21(3) (2011) 509-525.
- (with F. Cicalese), Recent Developments of Feedback Coding and Its Relations with Many-Valued Logic, In: Proof, Computation and Agency, Synthese Library, Vol. 352, Part 3, 2011, 115-131.
- Logica: Metodo Breve, (Logic: a Brief Course), Springer-Italia, Milan (2011).
- Advanced Łukasiewicz calculus and MV-algebras, Trends in Logic, Vol. 35 Springer, New York, (2011).
- (with M.Busaniche and L. Cabrer), Confluence and combinatorics in finitely generated unital lattice-ordered abelian groups, Forum Mathematicum, doi: 10.1515/FORM.2011.059
- (with L.Cabrer), Finitely presented lattice-ordered abelian groups with order-unit, Journal of Algebra, doi: 10.1016/j.jalgebra.2011.07.007
- Finite axiomatizability in Łukasiewicz logic, Annals of Pure and Applied Logic, doi: 10.1016/j.apal.2011.06.026
- (with L.Cabrer), Rational polyhedra and projective lattice-ordered abelian groups with order unit, Communications in Contemporary Mathematics, to appear.
- Revisiting the Farey AF algebra, Milan Journal of Mathematics, to appear.