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Curriculum Vitae of Personal information Surname(s) / First name(s) Address(es) Department of Mathematics - University of Salerno. Via Giovanni Paolo II, 132-84084 - Fisciano (SA) Fax(es) +39 089 96 3368 Email(s) Nationality(-ies) luca.spada@gmail.com Italian Date of birth 11/09/1979 Positions May 2016 - Present March 2012 - April 2016 August 2013 - July 2015 April 2009 - March 2012 July 2008 - March 2009 December 2006 - December 2007 October 2002 - December 2006 Associate Professor in Mathematical Logic at the Department of Mathematics of the University of Salerno. Assistant Professor at the Department of Mathematics of the University of Salerno. Marie Curie Fellow at the ILLC of the University of Amsterdam. Post-Doc at the Department of Mathematics of the University of Salerno. Post-Doc at the Institut für Diskrete Mathematik und Geometrie of the Technische University of Vienna. Post-Doc at the Department of Mathematics and Computer Science of the University of Salerno. PhD student in Mathematical Logic and Theoretical Computer Science at the University of Siena. Titles 29 th June 2007 Ph.D. in Mathematical Logic and Computer Science at the University of Siena. Thesis: Fixed points in many-valued logic Supervisor: prof. Franco Montagna. 15 th October 2004 Master in Mathematical Logic and Computer Science issued by the Graduated College S.ta Chiara, Siena 1 st October 2002 Degree in Mathematics at the University of Siena Score: 110/110 cum laudem Thesis: Continuous extensions of Lukasiewicz Logic Supervisor: prof. Franco Montagna. Scholarships and Research Fundings August 2013 - July 2015 April 2009 - February 2012 July 2008 - February 2008 Marie Curie Fellowship (FP7) awarded by the EU for the individual project ADAMS (A Dual Approach to Many-valued Semantics). Post-Doc Scholarship (3 years) awarded by the University of Salerno. Research contract (8 months) Awarded by the Institut für Diskrete Mathematik und Geometrie of TU, Vienna on behalf of FWF. Page 1 - Curriculum vitæ of

March 2008 - September 2008 December 2006 - December 2007 October 2003 - October 2006 September 2005 - January 2006 October 2002 - October 2003 September 2000- August 2001 September 2000- August 2001 September 1998 - September 2002 Research contract (7 months) with title: Trattamento dell incertezza e dei processi decisionali con strumenti logici, strutture algebriche e metodologie informatiche (Handling of uncertainty and decision processes by logical tools, algebraic structures and IT methodologies). Awarded by DASES of Università del Sannio on behalf of University of Milano Bicocca. Post-Doc Scholarship (1 year) awarded by the University of Salerno. Ph.D. Scholarship (3 years) awarded by the University of Siena. Marie Curie scholarship (5 months) awarded by the University of Lyon Claude Bernard on behalf of the E.U. Ph.D. Scholarship (1 years) awarded by A.R.D.S.U. of Siena on behalf of Regione Toscana. ERASMUS Scholarship (1 year) distributed by E.U. International Mobility Scholarship (1 year) awarded by A.R.D.S.U. of Siena on behalf of Regione Toscana. Merit Scholarship (4 years) awarded by A.R.D.S.U. of Siena on behalf of Regione Toscana. Research Projects Memberships March 2016 - March 2019 August 2013 - July 2015 March 2011 - March 2015 January 2012 - January 2015 March 2010 - January 2012 March 2010 - January 2012 January 2008 - December 2008 January 2007 - December 2007 January 2006 - December 2006 RISE (Marie Sk lodowska-curie Research And Innovation Staff Exchange): Syntax meet Semantics: Methods, Interactions, and Connections in Substructural logics. Total co-funding: 500.000 euros. Position in the project: Coordinator. Marie Curie Scholarship (FP7) awarded by UE for the individual project ADAMS (A Dual Approach to Many-valued Semantics). Total fundings: 183.000 euros. Position in the project: Principal investigator. IRSES (Marie Curie International Research Staff Exchange Scheme: Mathematical Tools for the Management of Uncertain and Vague Information. The project involves 13 Universities in Argentina, Brazil, Italy and Spain. Total fundings: 174.600 euros. Position in the project: Coordinator of the project. PRIN (Progetto di Ricerca di Interesse Nazionale): Logical tools for the management of Information. Coordinator: prof. Antonio Di Nola Total co-funding: 550.000 euros. Position in the project: Researcher (member of the leading unit). Total funding: 172.000 euros PRIN (Progetto di Ricerca di Interesse Nazionale): Algebraic semantics for the uncertainty. Coordinator: prof. Antonio Di Nola. Total co-funding: 45.000 euros. Position in the project: Researcher (member of the leading unit). PRIN2008 (Progetto di Ricerca di Interesse Nazionale): Algebraic semantics for uncertainty. Coordinator: prof. Antonio Di Nola PAR (Progetto di Ateneo per la Ricerca): Non classical logics and their applications. Co-ordinator: prof. Antonio Di Nola PAR (Progetto di Ateneo per la Ricerca): Many-valued logic, fuzzy logic and their applications. Co-ordinator: prof. Antonio Di Nola Fuzzy logic and many-valued logics: deductive, algebraic and computational aspects. Co-ordinator: prof. Antonio Di Nola Page 2 - Curriculum vitæ of

January 2004 - December 2004 January 2004 - December 2005 PAR (Progetto di Ateneo per la Ricerca): Logic and uncertainty: algorithmic and algebraic methods. Co-ordinator: prof. Franco Montagna PRIN2004 (Progetto di Ricerca di Interesse Nazionale): Many-valued logic and uncertain information: algorithmic and algebraic methods. Co-ordinator: prof. Franco Montagna Tutoring September 2012 January 2010 - September 2010 Supervisor for a MSc thesis in Logic (Anna Carla Russo, University of Salerno, 110 cum laudae). Supervisor for a MSc thesis in Logic (Caterina Limoli, University of Salerno, 110 cum laudae. Teaching Activities September 2016 September 2016 September 2015 September 2014 February 2014 October 2013 - December 2013 September 2012 - September 2013 September 2012 - September 2013 September 2012 - September 2013 January 2012 - April 2013 March 2012 - June 2012 March 2012 - June 2012 October 2010 - December 2011 October 2009 - December 2010 April 2009 - June 2009 April 2008 - June 2008 January 2008 - September 2008 Lecturer for course Mathematics I (9 CFU) for the B.Sc. in Mechanical Engeneering, University of Salerno. Lecturer for course Mathematics I (5 CFU) for the B.Sc. in Environmental Science, University of Salerno. Lecturer for course Mathematics for Economy (10 CFU) for the B.Sc. in Economy and Management, University of Salerno. Lecturer for course Many Valued Logics (6 CFU) for the M.Sc. in Logic. ILLC, University of Amsterdam, The Netherlands. Lecturer for the project Duality Theory (6 CFU) for the M.Sc. in Logic. ILLC, University of Amsterdam, The Netherlands. co-lecturer for the course Capita Selecta in Modal Logic (6 CFU) for the M.Sc. in Logic. ILLC, University of Amsterdam, The Netherlands. Lecturer of the course Computability Theory I (6 CFU) for the M.Sc. in Mathematics. University of Salerno. Instructors (1 CFU) for the course Logic I for the degree in Mathematics. University of Salerno. Lecturer for the Logic part of the course (3 CFU) Discrete Mathematics and Mathematical Logic for the degree in Computer Science. University of Salerno. Lecturer for the course Laboratorio di Matematica within Progetto Lauree Scientifiche, University of Salerno and Liceo Alfano I. Lecturer for the course Logica II (6 CFU) for the M.Sc. in Computer Science. University of Salerno. External Teacher as expert in Logic for the national project P.O.N. F.S.E. 2012 at the istituto Magistrale Galizia. Nocera Inf. (SA) Adjunct Professor for the course Logica (6 CFU) for the M.Sc. in Cognitive Psychology at Seconda University of Napoli, Italy. Adjunct Professor for the course Logica (MAT/01, 4 CFU) Master Degree in Cognitive Psychology at Second University of Napoli. External Professor as expert in Logic for the national project P.O.N. F.S.E. 2008 at the istituto Magistrale Galizia. Nocera Inf. (SA) Title of the project: Il giardino di Archimede: fantasia e logica nella matematica External Professor as expert in Logic for the national project P.O.N. F.S.E. 2008 at the istituto Magistrale Galizia. Nocera Inf. (SA) Title of the project: Alice allo specchio: le meraviglie della matematica Adjunct Professor for the course Logica for the school S.I.C.S.I. (Scuola Interuniversitaria Campana di Specializzazione all Insegnamento) of University of Salerno. Page 3 - Curriculum vitæ of

Editorial Activities January 2012 - Present November 2013 November 2009 September 2008 Associate Editor of Soft Computing. Guest editor of Mathematica Slovaca. Special issue for the 65 th birthday of prof. Antonio Di Nola. Guest editor for the series Lectures Notes in Computer Science. Special number containing selected works presented at: 8 th International Tbilisi Symposium on Language, Logic and Computation. Guest editor for Annals of Pure and Applied Logic. Special dedicated to prof. Franco Montagna s 60 th birthday Other Professional Activities September 2016 September 2015 July 2015 June 2013 April 2013 September 2013 August 2012 July 2012 September 2011 May 2011 November 2010 September 2008 October 2007 June 2007 September 2008 - Present September 2007 - Present Chair of the Scientific Committee of the conference Syntax meets Semantics 2016, Barcellona, Spain. co-chair of the Scientific Committee of the conference TbiLLC Tbilisi, Georgia. Chair of the Organising Committee of the conference TACL (Topology, Algebra, and Categories in Logic) Ischia, Italy. Member of the Organising Committee of the conference Model Theory Ravello, Italy. Co-organiser of the workshop Many valued logics at the 3 d International Conference on Universal Logic, Rio de Janeiro, Brazil. Member of the Scientific Committee of the conference TbiLLC (Tenth International Tbilisi Symposium on Language, Logic and Computation),Georgia. Member of the Scientific Committee of the conference PMUV (Philosophy and Mathematics of Uncertainty and Vagueness), Campinas, Brazil. Member of the Programme Committee of ManyVal12, celebrating Antonio Di Nola s 65 th birthday, Salerno, Italy. Co-Chair of the Scientific Committee in Logic for the conference TbiLLC: Tbilisi Symposium Series on Language, Logic and Computation, a series organised by the ILLC of the University of Amsterdam. Tbilisi Member of the organising committee of the international conference Algebraic Semantics for Uncertainty and Vagueness, Salerno, Italy. Member del of the organising committee of the conference Logica, linguaggio e didattica della matematica, Salerno, Italy. Member of the organising committee of the international conference Logic, Algebra and Truth Degrees, Siena. Referee for the Slovak Research and Development Agency. Member of the organising committee of the international conference CIE07 (Computability in Europe), Siena. Member of the international research group Computability in Europe. Member of the EUSFLAT research working group MathFuzzLog. Foreign Languages Mother tongue(s) Other languages Italian Self-assessment Understanding Speaking Writing European level (*) English Spanish Listening Reading Spoken interaction B1 Independent Spoken production B1 Independent A2 Basic Page 4 - Curriculum vitæ of

French B2 Independent B2 Independent B1 Independent B2 Independent B2 Independent Portuguese A2 Basic A2 Basic A1 Basic Dutch A1 Basic A1 Basic A1 Basic A1 Basic A1 Basic (*) Common European Framework of Reference (CEF) level Conference invited talks June 2016 A duality for lattices with residuated operations. Topological Methods in Logic (ToLo) V. Tbilisi, Georgia. December 2015 An extension of Basic Logic with fixed points, Coherence and Truth. In memoriam Franco Montagna. Certosa di Pontignano (Siena), Italia. December 2014 A(nother) duality for the whole variety of MV-algebras. BEYOND 2014. University of Florence, Italy. December 2014 A general framework for dualities. Workshop on dualities and Markov processes. McGill University Bellairs Research Institute, Barbados. September 2012 The multifarious representations of MV-algebras, Logic, Algebra, and Truth Degrees. Kanazawa, Japan. September 2011 Dualities for MV-algebras, Ordered groups and lattices in algebraic logic. Tbilisi, Georgia. Conference of the series Studia Logica in memoriam Leo Esakia. October 2010 August 2010 June 2010 May 2008 Invited tutorials Unification for Abelian l-groups Lattice-Ordered Groups and MV-Algebras: Interaction and Impact on Algebras of Logic. Buenos Aires, Argentina Projectivity and unification in many valued logic, Workshop at Computer Science in Logic 2010. Brno, Repubblica Ceca. The prime spectrum of MV-algebras, Topological methods in Logic. Tbilisi, Georgia. Fixed points in many-valued logic, Institute of Mathematics Simion Stoilow Accademia delle Scienze Rumena. Bucarest, Romania. July 2014 August 2012 August 2012 September 2009 September 2009 Dualities, invited tutorial at The Latin American Symposium on Mathematical Logic. Buenos Aires, Argentina. Lukasiewicz logic and MV-algebras, short course at the summer school PMUV. Campinas (SP), Brazil. Some fundamental results in many-valued logic, short course at Izmir Winter School in Non-Classical Logic and its Applications. Izmir, Turkey. Introduction to fuzzy sets and fuzzy logic, short course at the summer school REASON PARK (REASONing under PARtial Knowledge). Foligno, Italy. An introduction to many-valued logic and its algebraic semantic short course at the Tbilisi Sumer School in Logic. Tbilisi, Georgia. Invited Seminars May 2015 A duality for the whole variety of MV-algebras via Ind- and Procompletions. Alcop 2014. University of Delft, The Netherlands. November 2014 A general framework for dualities. Mathematical Institute. Oxford University, UK. May 2014 General affine adjunctions, Nullstellensätze, and dualities. Applied Logic Seminars. Delft, The Netherlands. October 2013 General affine adjunctions, Nullstellensätze, and dualities, Colloquium on Mathematical Logic. Amsterdam, The Netherlands. May 2010 Rappresentazioni di MV-algebre per fasci: una road map, Dipartimento di Informatica e Comunicazione, Università di Milano, Italy. Page 5 - Curriculum vitæ of

May 2010 February 2010 December 2008 October 2008 September 2008 June 2008 November 2006 September 2005 Unification and projective algebras in Lukasiewicz Logic, Dipartimento di Scienze dell Informazione, University of Milano, Italy. A discrete representation of free MV-algebras, Dipartimento di Matematica, University of Genova, Italy. Forcing in many-valued logic, Czech Academy of Sciences. Prague, Czech Republic. The geometry of MV n -algebras, Dipartimento di Scienze dell Informazione, University of Milano, Italy. Free MV algebras as direct limit, Mathematical Institute, Slovak Academy of Sciences. Bratislava, Slovakia. Fixed points in computer science: a many-valued perspective, Tbilisi State University. Tbilisi, Georgia. Fixed points in fuzzy logics, Dipartimento di Matematica ed Informatica. University of Salerno. Italy. T-normes comme fondement de la logique floue, Institut Camille Jordan. Université Claude Bernard Lyon 1. France. Talks at Conferences September 2015 XX Congress of the Italian Mathematicians. Siena, Italy. Talk: The Nullstellensatz for varieties, and topological dualities. March 2014 Prague seminar on substructural logics. Prague, Czech Republic. Talk: Axiomatisations for all varieties of n-potent residuated lattices. February 2014 Shanks Workshop on Ordered Algebras and Logic, Nashville, US. Canonical Formulas and Residuated Lattices. December 2013 International Workshop on Algebraic Logic in Computer Science (a satellite workshop of LPAR), Stellenbosch, South Africa. Talk: An Isomorphism Criterion for Colimits of Sequences of Finitely Presented Objects October 2013 Algebra Coalgebra Seminar, Amsterdam, The Netherlands. Talk: Two isomorphism criteria for directed colimits. August 2013 TACL VI (Topology, Algebra, and Categories in Logic), Nashville, US. A general framework for geometric dualities for varieties of algebras. September 2011 XIX Congresso dell Unione Matematica Italiana, Bologna, Italy. Talk: Dualità geometriche per la logica di Lukasiewicz, (selected as featured presentation) July 2011 TACL V (Topology, Algebra, and Categories in Logic), Marseille, France May 2010 November 2009 September 2009 July 2009 July 2009 September 2007 Talk: The unification type of Lukasiewicz logic is nullary, (selected as featured presentation) ManyVal10: Beyond algebraic semantics: bridging intended and formal interpretations of many-valued logics, Varese, Italy Talk: Omitting type theorems for Lukasiewicz Logic International workshop on Probability, Uncertainty and Rationality, Siena, Italy. Talk: A uniform version of Di Nola Theorem. 8 th International Tbilisi Symposium on Language, Logic and Computation, Tbilisi. Talk: Advances in the theory of fixed points in many-valued logics. 7 th Panhellenic Logic Symposium 2009, Patras. Talk: Some consequences of compactness in Lukasiewicz Predicate Logic. TACL IV (Topology, Algebra, and Categories in Logic), Amsterdam. Talk: Small advances in the algebraic proof theory of substructural logics. XVIII Congresso dell Unione Matematica Italiana, Bari. Talk: Costruzioni universali nella varietà µlπ. Page 6 - Curriculum vitæ of

August 2007 June 2007 September 2006 August 2006 August 2005 August 2003 Algebraic and Topological Methods for non-classical Logics III, Oxford. Talk: Free constructions of µ LΠ algebras. 3 d MATHLOGAPS Workshop, Assois. Talk: Finite and Infinite Forcing in Lukasiewicz Logic. The Logic of Soft Computing V, Malaga. Talk: µmv algebras: an approach to fixed points in Lukasiewicz Logic 2 d MATHLOGAPS Workshop, Leeds. Talk: Algebra and Fuzzy Logic. Algebraic and Topological Methods for non-classical Logics II, Barcelona. Talk: LΠ logic and fixed points. 8 th Kurt Gödel Colloquium, Vienna. Invited poster session: LΠ algebras and quasi-fields Publications Refereed Journals 1. L. M. Cabrer and. MV-algebras, infinite dimensional polyhedra, and natural dualities. To appear on Archive for Mathematical Logic. 2.. An expansion of Basic Logic with fixed points. To appear on a special issue of Soft Computing in memoriam Franco Montagna. doi:10.1007/s00500-016-2344-2. (Preprint page) 3. Nick Bezhanishvili, Nick Galatos,. Canonical formulas for k-potent commutative, integral, residuated lattices. To appear on Algebra Universalis 2016. 4. V. Marra,, Duality, projectivity, and unification in Lukasiewicz infinite-valued propositional logic. Annals of Pure and Applied Logic 164:192-210. 2013. 5.. Geometrical dualities for Lukasiewicz logic. Bollettino dell U.M.I., VI(9):749-763 2013. 6. V. Marra,. The dual adjunction between MV-algebras and Tychonoff spaces, Studia Logica 100(1-2):253-278, 2012. Special issue in memoriam Leo Esakia (L. Beklemishev, G. Bezhanishvili, D. Mundici and Y. Venema Editors) 2012. 7. B. Gerla, C. Russo,, Representation of perfect and local MV-algebras. Mathematica Slovaka 61(3):327 340, 2011. (arxiv:1002.0980v1). 8. E. Marchioni,. Advances in the Theory of µ LΠ algebras, Logic Journal of the IGPL, 19(3):476-489, 2011. 9. A. Di Nola, G. Lenzi,, Representation of MV-algebras by regular ultrapowers of [0,1]. Archive for Mathematical Logic, 49(4):491 500 2010. 10. A. Di Nola, R. Grigolia,. A discrete representation of free MV-algebras, Mathematical Logic Quarterly, 563:279 288 2009. 11.. LΠ logic with fixed points, Archive for Mathematical Logic, 47(7-8):741 763 2008. 12. A. Di Nola, G. Georgescu,. Forcing in Lukasiewicz predicate logic. Studia Logica 89(1):111-145, 2008. 13.. µmv algebras: an approach to fixed points in Lukasiewicz logic. Fuzzy Sets and Systems, Special Issue: Mathematical and Logical foundations of Soft Computing. 159:1260 1267 Elsevier, Amsterdam. 2008 14.. Punti fissi nelle logiche a più valori, Bollettino U.M.I. La Matematica nella Società e nella Cultura. Serie VIII, Vol. X-A:355 358, 2007. 15. F. Montagna,. Continuous approximations of product implication in MV-algebras with product, Soft Computing, 9(3):149 154, Springer-Verlag, Berlino, 2005. Page 7 - Curriculum vitæ of

Proceedings (with referee) 1., Some consequences of compactness in Lukasiewicz logic. in C. Drossos, P. Peppas and C. Tsinakis Eds. Proceeding of the VII Panhellenic Symposium. 2009. 2.. µmv algebras : an approach to fixed points in Lukasiewicz logic, in Proceeding of the Intl. Conference on The Logic of Soft Computing, Malaga, 2006. 3., Continuous approximations of MV-algebras with product and product residuation: a category-theoretic equivalence, Collegium Logicum, 8, Vienna, 2005. Book chapters 1. A. Di Nola,. A short introduction to formal fuzzy logic via t-norms, in D ambra, etc. Editori, Modelli e Tecnologie dell informazione a Supporto delle Decisioni, Franco Angeli Editore. 2008. ISBN 9788846483812. Preprints 1. Olivia Caramello, Vincenzo Marra and. General affine adjunctions, Nullstellensätze, and dualities. Preprint available on arχiv.org, 2014. 2. Vincenzo Marra and. Two isomorphism criteria for directed colimits. arxiv:1312.0432, 2013. Salerno, 27th September 2016 Page 8 - Curriculum vitæ of