{"id":11,"date":"2011-04-13T13:48:40","date_gmt":"2011-04-13T12:48:40","guid":{"rendered":"http:\/\/logica.dmi.unisa.it\/lucaspada2\/?page_id=11"},"modified":"2026-03-27T15:05:47","modified_gmt":"2026-03-27T14:05:47","slug":"publications-and-presentations","status":"publish","type":"page","link":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/publications-and-presentations\/","title":{"rendered":"Publications and presentations"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\">Publications<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">Preprints<\/h3>\n\n\n\n<p><a href=\"http:\/\/arxiv.org\/a\/spada_l_1\">My preprints on ArXiv.org<\/a>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">International journals<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><a href=\"https:\/\/lucacarai.github.io\">L. Carai<\/a>, S. Lapenta, and L. Spada. Dualities for abelian l-groups and vector lattices beyond archimedeanity. <strong>Journal of Algebra<\/strong> 2026. doi:<a href=\"https:\/\/doi.org\/10.1016\/j.jalgebra.2026.02.002\">10.1016\/j.jalgebra.2026.02.002<\/a> . <a href=\"https:\/\/arxiv.org\/abs\/2310.13427\">arXiv:2310.13427<\/a> [math.RA]<\/li>\n\n\n\n<li>M. Abbadini, L. Spada. The unification type of Lukasiewicz logic with a bounded number of variables. <strong>Journal of Symbolic Logic<\/strong> 2025 online first doi: <a href=\"https:\/\/www.google.com\/url?q=https:\/\/doi.org\/10.1017\/jsl.2025.10149&amp;source=gmail-imap&amp;ust=1762157604000000&amp;usg=AOvVaw1jmmsITOJ5xc5QDqj1Syqv\">10.1017\/jsl.2025.10149<\/a>. <a href=\"https:\/\/arxiv.org\/abs\/2504.19011\">arXiv:2504.19011<\/a> [math.LO]<\/li>\n\n\n\n<li>M. Abbadini, V. Marra and L. Spada. <a href=\"https:\/\/authors.elsevier.com\/sd\/article\/S0001870824005838\">Stone-Gelfand duality for metrically complete lattice-ordered groups<\/a>. <strong>Advances in Mathematics<\/strong> 461, 2025. Doi: <a href=\"https:\/\/doi.org\/10.1016\/j.aim.2024.110067\">10.1016\/j.aim.2024.110067<\/a> <a href=\"https:\/\/doi.org\/10.48550\/arXiv.2210.15341\">arXiv:2210.15341<\/a> [math.FA]<\/li>\n\n\n\n<li>L. Spada, G. St. John. <a href=\"http:\/\/tac.mta.ca\/tac\/volumes\/43\/12\/43-12abs.html\">2-Weil Rigs<\/a>. <strong>Theory and Applications of Categories<\/strong> (Lawvere Festschrift) 43(12):382-402, 2025.<\/li>\n\n\n\n<li>S. Lapenta, G. Metere, L. Spada. <a href=\"http:\/\/tac.mta.ca\/tac\/volumes\/41\/27\/41-27abs.html\">Relative ideals in homological categories, with an application to MV-algebras<\/a>. <strong>Theory and Applications of Categories<\/strong>. 41(27), 2024, 878-893. <a href=\"https:\/\/doi.org\/10.48550\/arXiv.2208.12597\">arXiv:2208.12597<\/a> [math.CT]<\/li>\n\n\n\n<li>M. Abbadini, L. Spada. <a href=\"https:\/\/doi.org\/10.1016\/j.jpaa.2021.106858\">Are locally finite MV algebras a variety<\/a>? <strong>Journal of Pure and Applied Algebra<\/strong><em>.<\/em> 266(4) 2022. doi: 10.1016\/j.jpaa.2021.106858 <a href=\"https:\/\/arxiv.org\/abs\/2102.11913\">Preprint available on ArXiv.org<\/a>.<\/li>\n\n\n\n<li>A. Di Nola, G. Lenzi, and Luca Spada, <a href=\"http:\/\/logicandanalysis.org\/index.php\/jla\/article\/view\/395\">Sheaf representations and locality of Riesz spaces with order unit<\/a>. <strong>Journal of Logic and Analysis<\/strong> 13 2021. doi: <a href=\"https:\/\/doi.org\/10.4115\/jla.2021.13.2\">10.4115\/jla.2021.13.2<\/a> &nbsp;<\/li>\n\n\n\n<li>&nbsp;Olivia Caramello, Vincenzo Marra, and Luca Spada.&nbsp;<a href=\"https:\/\/doi.org\/10.1016\/j.jpaa.2020.106470\">General affine adjunctions, Nullstellens\u00e4tze, and dualities<\/a>. &nbsp;<strong>Journal of Pure and Applied Algebra<\/strong>. 225(1)<em>,<\/em> 2021. doi: 10.1016\/j.jpaa.2020.106470  <a href=\"http:\/\/arxiv.org\/abs\/1412.8692\">Preprint available on ArXiv.org.<\/a><\/li>\n\n\n\n<li>Jos\u00e9 Gil-F\u00e9rez, Luca Spada, Constantine Tsinakis, and&nbsp;Hongjun Zhou,&nbsp;<a href=\"https:\/\/doi.org\/10.1016\/j.apal.2020.102842\">Join-completions of partially ordered algebras<\/a>. <strong>Annals of Pure and Applied Logic<\/strong>. 171(10) 2020.&nbsp;doi:10.1016\/j.apal.2020.102842 <a href=\"https:\/\/arxiv.org\/abs\/1708.04990\">Preprint available on ArXiv.org.<\/a> <\/li>\n\n\n\n<li>Nick Bezhanishvili, Nick Galatos, and Luca Spada.<a href=\"http:\/\/rdcu.be\/oYtR\"> Canonical formulas for k-potent commutative, integral, residuated&nbsp;lattices<\/a>.&nbsp;<strong>Algebra Universalis,&nbsp;<\/strong>3, 321\u2013343<strong>,<\/strong> 2017 doi:10.1007\/s00012-017-0430-7.&nbsp;<a href=\"https:\/\/arxiv.org\/abs\/1509.07980\">Preprint available on ArXiv.org<\/a><\/li>\n\n\n\n<li>Leonardo Cabrer and Luca Spada.&nbsp;<a href=\"http:\/\/rdcu.be\/k2Vl\">MV-algebras, infinite dimensional polyhedra, and natural dualities<\/a>. <strong>Archive for Mathematical Logic<\/strong>, 56(1), 21-42.&nbsp;2017 doi:10.1007\/s00153-016-0512-9. <a href=\"http:\/\/arxiv.org\/abs\/1603.01005\">Preprint available on ArXiv.org<\/a><\/li>\n\n\n\n<li>Luca Spada. <a href=\"http:\/\/em.rdcu.be\/wf\/click?upn=KP7O1RED-2BlD0F9LDqGVeSK4ZADyt1Q7wSzM7vllLwJw-3D_s6j-2Be6NMhhqoQHzQYYgPbHEdPGKUUIsqWtjGp0QP2fte4L-2BO2U64g7lxi0mF8J6qTs-2BgM6l-2FUZv2Fa0AI7rcQ6fBgE8LmXPhAPIUMCU-2FCv8nlXFQ0770zlnAH41GxGETy8UbEg05l2t5YY8ExPZXcYhGyeONMmRYPWCWnJij6FmdFUh9dApFiXM9HM0GgNvmWpvyz-2BjLGPIJdIgIV6bg8g-3D-3D\">An expansion of Basic Logic with fixed points<\/a>. Special issue of <strong>Soft Computing <em>in memoriam<\/em>&nbsp;Franco Montagna<\/strong>. Volume 21(1)&nbsp;29\u201337. 2017&nbsp;doi:10.1007\/s00500-016-2344-2. (<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-content\/uploads\/blfix-revised.pdf\">Preprint page<\/a>)<\/li>\n\n\n\n<li>Vincenzo Marra and Luca Spada.&nbsp;<a href=\"http:\/\/dx.doi.org\/10.1016\/j.apal.2012.10.001\">Duality, projectivity, and unification in&nbsp;\u0141ukasiewicz&nbsp;logic and MV-algebras<\/a>.&nbsp;<strong>Annals of Pure and Applied Logic<\/strong> 164:192-210<em>. <\/em>2013<em>.&nbsp;<\/em>(<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/222-duality-projectivity-and-unification-in-lukasiewicz-logic-and-mv-algebras\/\">Preprint page<\/a>)<\/li>\n\n\n\n<li>Vincenzo Marra and Luca Spada.&nbsp;<a href=\"http:\/\/dx.doi.org\/10.1007\/s11225-012-9377-z\">The dual adjunction between MV-algebras and Tychonoff spaces<\/a>,&nbsp;<em>Studia Logica&nbsp;<\/em>100(1-2):253-278, 2012. <strong>Special issue of Studia Logica <em>in memoriam<\/em> Leo Esakia<\/strong><em> (L. Beklemishev, G. Bezhanishvili, D. Mundici and Y. Venema Editors).<\/em>(<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/219-the-dual-adjunction-between-mv-algebras-and-tychonoff-spaces\/\">Preprint page<\/a>)<\/li>\n\n\n\n<li>Enrico Marchioni and Luca Spada. <a href=\"http:\/\/dx.doi.org\/10.1093\/jigpal\/jzp089\">Advances in the Theory of \u03bc\u0141\u03a0 algebras<\/a>, <strong>Logic Journal of the IGPL<\/strong>, 19(3):476-489, 2011. (<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/204-advances-in-the-theory-of-mulpi-algebras\/\">Preprint page<\/a>)<\/li>\n\n\n\n<li>Brunella Gerla, Ciro Russo, and Luca Spada. <a href=\"http:\/\/dx.doi.org\/10.2478\/s12175-011-0015-4\">Representation of Perfect and Local MV-algebras<\/a>, <strong>Mathematica Slovaca<\/strong> 61(3):327\u2013340, 2011. (<a href=\"http:\/\/arxiv.org\/abs\/1002.0980\">Available on ArXiv<\/a>),<\/li>\n\n\n\n<li>Antonio Di Nola, Revaz Grigolia, and Luca Spada. <a href=\"http:\/\/dx.doi.org\/10.1002\/malq.200910036\">A discrete representation of free MV-algebras<\/a>. <strong>Mathematical Logic Quarterly<\/strong> 56(3):279\u2013288, 2010.&nbsp;(<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/211-a-discrete-representation-of-free-mv-algebras\/\">Preprint page<\/a>)<\/li>\n\n\n\n<li>Antonio Di Nola, Giacomo Lenzi, and Luca Spada. <a href=\"http:\/\/dx.doi.org\/10.1007\/s00153-010-0182-y\">Representation of MV-algebras by regular ultrapowers of [0,1]<\/a>.&nbsp;<strong>Archive for Mathematical Logic<\/strong> 49(4):491\u2013500, 2010.&nbsp;(<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/214-representation-of-mv-algebras-by-regular-ultrapowers-of-01\/\">Preprint page<\/a>)<\/li>\n\n\n\n<li>Antonio Di Nola, George Georgescu, and Luca Spada. <a href=\"http:\/\/dx.doi.org\/10.1007\/s11225-008-9120-y\">Forcing in \u0141ukasiewicz predicate logic<\/a>. <strong>Studia Logica<\/strong> 89(1):111-145, 2008.&nbsp;(<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/195-forcing-in-lukasiewicz-predicate-logic\/\">Preprint page<\/a>)<\/li>\n\n\n\n<li>Luca Spada.&nbsp;<a href=\"http:\/\/dx.doi.org\/10.1007\/s00153-008-0105-3\">\u0141\u03a0 logic with fixed points.<\/a> <strong>Archive for Mathematical Logic<\/strong>, 47(7-8):741-763, 2008. (<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/191-lpi-logic-with-fixed-points\/\">Preprint page<\/a>)<\/li>\n\n\n\n<li>Luca Spada. <a href=\"http:\/\/dx.doi.org\/10.1016\/j.fss.2007.12.010\">\u03bcMV algebras: an approach to fixed points in \u0141ukasiewicz logic<\/a>, <strong>Fuzzy Sets and Systems<\/strong><em>, Special Issue: Mathematical and Logical foundations of Soft Computing<\/em>. 159:1260-1267, 2008. (<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/181-mumv-algebras-an-approach-to-fixed-points-in-lukasiewicz-logic\/\">Preprint page<\/a>)<\/li>\n\n\n\n<li>Franco Montagna and Luca Spada. <a href=\"http:\/\/dx.doi.org\/10.1007\/s00500-003-0338-3\">Continuous approximations of product implication in MV-algebras with product<\/a>. <strong>Soft Computing<\/strong> 9(3):149-154, 2005. (<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/168-continuous-approximations-of-mv-algebras-with-product-and-product-residuation\/\">Preprint page<\/a>)<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Proceeding with referee<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Serafina Lapenta, Sebastiano Napolitano, Luca Spada. <strong>The Logic FP(\u0141, \u0141) and Two-Sorted Equational States<\/strong>. In <em><em>Proceedings of the 13th International Symposium on Imprecise Probabilities: Theories and Applications &#8211; ISIPTA 2023<\/em><\/em>. <em>Proceedings of Machine Learning Research<\/em> 215. 2023.<\/li>\n\n\n\n<li>Serafina Lapenta, Sebastiano Napolitano, Luca Spada. <strong>Ideals in&nbsp;the&nbsp;Two-Sorted Variety of&nbsp;Equational States<\/strong> In <em>Fuzzy Logic and Technology, and Aggregation Operators<\/em> &#8211; <em>Lecture Notes in Computer Science<\/em> 14069, 2023. <em><a rel=\"noreferrer noopener\" href=\"https:\/\/dx.doi.org\/10.1007\/978-3-031-39965-7_41\" target=\"_blank\">https:\/\/dx.doi.org\/10.1007\/978-3-031-39965-7_41<\/a><\/em><\/li>\n\n\n\n<li>Marco Abbadini, Federica Di Stefano, Luca Spada. <strong>Unification in Lukasiewicz logic with a finite number of variables<\/strong>. In M.-J. Lesot et al. (Eds.): IPMU 2020, CCIS 1239, pp. 622\u2013633, 2020. doi:10.1007\/978-3-030-50153-2_46 (<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-content\/uploads\/IPMU4.pdf\">Preprint page<\/a>) <\/li>\n\n\n\n<li>Luca Spada. <strong>Some consequences of compactness in \u0141ukasiewicz logic<\/strong>. In C. Drossos, P. Peppas and C. Tsinakis Eds. <em>Proceeding of the VII Panhellenic Symposium<\/em>. Patras 2009. ISBN 978-960-530-108-8.&nbsp;(<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/198-198\/\">Preprint page<\/a>)<\/li>\n\n\n\n<li>Luca Spada. <strong>\u03bcMV algebras : an approach to fixed points in \u0141ukasiewicz logic<\/strong>, in <em>Proceeding of the Intl. Conference on The Logic of Soft Computing<\/em>, Malaga September 2006. (<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/181-mumv-algebras-an-approach-to-fixed-points-in-lukasiewicz-logic\/\">Preprint page<\/a>)<\/li>\n\n\n\n<li>Luca Spada. <a href=\"http:\/\/kgs.logic.at\/index.php?id=9\">Continuous Approximations of MV-Algebra with Product and Product Residuation: A Cathegory-Theoretic Equivalence<\/a>, <em>Proceeding of Goedel Society<\/em> Vol. <strong>8<\/strong>, Vienna 2004. ISBN 3-901546-03-0. (<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/176-continuous-approximations-of-mv-algebras-with-product-and-product-residuation-a-category-theoretic-equivalence\/\">Preprint page<\/a>)<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Book chapters<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Vincenzo Marra, Franco Montagna, and Luca Spada.&nbsp;Logiche Polivalenti<strong>. <\/strong><em>in&nbsp;H.&nbsp;Hosni, G.&nbsp;Lolli e C.&nbsp;Toffalori,&nbsp;<\/em><strong>Le direzioni della ricerca logica in Italia<\/strong><em>.<\/em> Edizioni della Normale. 2015. ISBN&nbsp;978-88-7642-570-7.<\/li>\n\n\n\n<li>Antonio Di Nola and Luca Spada. <a href=\"http:\/\/www.francoangeli.it\/ricerca\/Scheda_Libro.asp?ID=17141&amp;Tipo=Libro&amp;titolo=Metodi%2C+modelli+e+tecnologie+dell+informazione+a+supporto+delle+decisioni.+Vol.+I.+Metodologie.+Vol.+II+Applicazioni\">A short introduction to formal fuzzy logic via t-norms<\/a>, in <em>Amenta P., D&#8217;ambra L., Squillante M., Ventre A.G., <\/em><strong>Metodi, Modelli e Tecnologie dell&#8217; informazione a Supporto delle Decisioni<\/strong><em>, <\/em>Franco Angeli Editore. (pp. 592) 2008. ISBN 9788846483812. (<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/186-a-short-introduction-to-formal-fuzzy-logic-via-t-norms\/\">Preprint page<\/a>)<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Invited papers<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Luca Spada. <a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/423-geometrical-dualities-for-lukasiewicz-logic\/\">Geometrical dualities for&nbsp;\u0141ukasiewicz logic<\/a>.&nbsp;<strong>Bollettino dell&#8217;UMI<\/strong>, VI(9):749-763 2013.<\/li>\n\n\n\n<li>Luca Spada. <strong>Punti fissi nelle logiche a pi\u00f9 valori<\/strong>, <strong>Bollettino U.M.I.<\/strong><em> La Matematica nella Societ\u00e0 e nella Cultura<\/em>. Serie VIII, Vol. <strong>X-A<\/strong>:355-358, 2007.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Other<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>V. Marra and L. Spada.&nbsp;<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/415-two-isomorphism-criteria-for-directed-colimits\/\">Two isomorphism criteria for directed colimits<\/a>. <a href=\"arXiv:1312.0432\">arXiv:1312.0432<\/a> [math.CT]<\/li>\n<\/ol>\n\n\n\n<h1 class=\"wp-block-heading\">Presentations<\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">Invited&nbsp;conferences<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>The unification type of Lukasiewicz logic with finitely many variables<\/strong>. <a href=\"https:\/\/mathsites.unibe.ch\/ordalglogicworkshop\/\">Order Algebras and Logic<\/a>. 30 March &#8211; 3 April 2022 [<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-content\/uploads\/Lukasiewicz%20Unification%20With%20Finitely%20Many%20Variables.pdf\">Slides<\/a>]<\/li>\n\n\n\n<li><strong>Some remarks about rigs.<\/strong> <a href=\"https:\/\/sites.google.com\/view\/catcat-2021-en\/home\">Open House on Category Theory 2021<\/a> 18 &#8211; 19 November 2021, Ciudad de M\u00e9xico.<\/li>\n\n\n\n<li><strong>Are locally finite MV-algebras a variety?<\/strong> <a href=\"https:\/\/my.vanderbilt.edu\/shanksoal2020\/\">Shanks Workshop on Ordered Algebras and Logic<\/a>. Vanderbilt University (Nashville, US) 5-7 March 2020.<\/li>\n\n\n\n<li><strong>Kakutani duality, for groups.<\/strong>&nbsp;<a href=\"http:\/\/math.chapman.edu\/~jipsen\/sysmics\/\">Duality in Algebra and Logic<\/a>. Chapman University (California, US) 14-17&nbsp;September 2018.<\/li>\n\n\n\n<li><strong>Kakutani duality for groups. <\/strong><a href=\"http:\/\/rmi.tsu.ge\/tolo6\/\">Topological Methods in Logic<\/a> (To Lo VI). Tbilisi, Georgia July 2018.<\/li>\n\n\n\n<li><strong>Geometric aspects of MV-algebras .<\/strong> <a href=\"http:\/\/www.cs.cas.cz\/tacl2017\/\">Topology, Algebra and Categories in Logic<\/a> (TACL). Prague, Czech Republic. 26-30 June 2017. [<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-content\/uploads\/Spada-TACL.pdf\">Slides<\/a>]<\/li>\n\n\n\n<li><strong>A categorical duality for residuated lattices<\/strong>. Soft Computing Days. Beijing, China. 27-29 November 2016.<\/li>\n\n\n\n<li><strong>A duality for lattices with residuated operations<\/strong>. <a href=\"http:\/\/rmi.tsu.ge\/tolo5\/\">Topological Methods in Logic (ToLo) V<\/a>. Tbilisi, Georgia, June 2016.<\/li>\n\n\n\n<li><strong>An extension of Basic Logic with fixed points<\/strong>, Coherence and Truth. In memoriam Franco Montagna. Certosa di Pontignano (Siena), Italy. December 2015.<\/li>\n\n\n\n<li><strong>A(nother) duality for the whole variety of MV-algebras. <\/strong>BEYOND 2014, &nbsp;Florence, Italy. 3-5&nbsp;December 2014.<\/li>\n\n\n\n<li><strong>The multifarious representations of MV-algebras,&nbsp;<\/strong><em><a href=\"http:\/\/www.jaist.ac.jp\/rcis\/latd12\/index.php?index\">Logic, Algebra and Truth Degrees<\/a> 2012. <\/em>Kanazawa, Japan. 14th September, 2012 [<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-content\/uploads\/Representations%20of%20MV-algebras.pdf\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Dualities for MV-algebras, <\/strong><em>Ordered Groups and Lattices in Algebraic Logic<\/em> &#8211; a conference in memoriam Leo Esakia. Tbilisi, Georgia. 22d September, 2011 [<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/316-dualities-for-mv-algebras\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Unification for Abelian l-groups<\/strong>. <em>Lattice-Ordered Groups and MV-Algebras: Interaction and Impact on Algebras of Logic<\/em>. Buenos Aires 12th-15th October 2010.&nbsp;[A small variation of this can be found on this&nbsp;<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/311-the-unification-type-of-lukasiewicz-logic-is-nullary\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Projectivity and unification in many valued logic<\/strong>, <em>CSL 2010: Workshop on Mathematical Foundations of Fuzzy Logics<\/em>. Brno 21st-29th&nbsp;August 2010.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/298-projectivity-and-unification-in-many-valued-logic\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>The prime spectrum of MV-algebras, <\/strong>Topological Methods is Logic II. Tbilisi, 8th\u201310th June 2010 [<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/301-the-prime-spectrum-of-mv-algebras\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Fixed points in many-valued logic<\/strong>,<em> Logic, Algebra and Foundamentals of Computer Science<\/em>. Bucharest 16 May 2008.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/268-fixed-points-in-many-valued-logic\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Fuzzy logic and algebra<\/strong>, <em>2d MATHLOGAP workshop<\/em>. Leeds 21-25 August 2006.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/243-fuzzy-logic-and-algebra-an-overview\/\">Slides page<\/a>]<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Invited seminars<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Some remarks about rigs.<\/strong> <a href=\"https:\/\/sites.google.com\/view\/nonclassicallogicwebinar\">Nonclassical Logic Webinar<\/a>. 24 September 2021. Online. <\/li>\n\n\n\n<li><strong>Are locally finite MV-algebras a variety?<\/strong> <a href=\"http:\/\/events.illc.uva.nl\/alg-coalg\/\">Algebra|Coalgebra seminar<\/a> (ILLC, University of Amsterdam) 13 May 2020. [<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/1588-are-locally-finite-mv-algebras-a-variety\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>An overview of MV-algebras. <\/strong>Melbourne University, 19 April 2018.&nbsp;[Sorry, no slides: blackboard presentation.]<\/li>\n\n\n\n<li><strong>General affine adjunctions, Nullstellens\u00e4tze, and dualities<\/strong>. La Trobe University, 19th March 2018.&nbsp;[Sorry, no slides: blackboard presentation.]<\/li>\n\n\n\n<li><strong>Canonical formulas for k-potent commutative, integral, residuated lattices<\/strong>. La Trobe University, 12th March 2018.<\/li>\n\n\n\n<li><strong>A general framework for dualities. Mathematical Institute. <\/strong>Oxford University, 6th&nbsp;November 2014, UK.&nbsp;[Sorry, no slides: blackboard presentation.]<\/li>\n\n\n\n<li><strong>General affine adjunctions, Nullstellens\u00e4tze, and dualities. <\/strong><a href=\"http:\/\/www.appliedlogictudelft.nl\/seminar\/\">Applied Logic Seminars<\/a>.&nbsp;Delft, The Netherlands. 7th&nbsp;May 2014. [<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/476-dualities-and-geometry\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Axiomatisations for all varieties of n-potent residuated lattices<\/strong>.&nbsp;<a href=\"http:\/\/www2.cs.cas.cz\/~cintula\/PSSubLog\">Prague seminar on substructural logics<\/a>. &nbsp;28th-29th March 2014&nbsp;Prague, Czech Republic.&nbsp;[Sorry, no slides: blackboard presentation.]<\/li>\n\n\n\n<li><strong>General affine adjunctions, Nullstellens\u00e4tze, and dualities,&nbsp;<\/strong><em><a href=\"http:\/\/www.staff.science.uu.nl\/~ooste110\/seminar.html\">Colloquium on Mathematical Logic<\/a>. <\/em>Amsterdam, The Netherlands. 16th&nbsp;October 2013. [Sorry, no slides: blackboard presentation.]<\/li>\n\n\n\n<li><strong>Two isomorphism criteria for directed colimits.&nbsp;<\/strong><a href=\"http:\/\/www.illc.uva.nl\/alg-coalg\/\">Algebra|Coalgebra Seminar<\/a>,&nbsp;9th&nbsp;October 2013, Amsterdam, The Netherlands.&nbsp;[Sorry, no slides: blackboard presentation.]<\/li>\n\n\n\n<li><strong>Forcing in Many-Valued Logic<\/strong>,<em> Institute of Computer Science Academy of Sciences of the Czech Republic<\/em>. Prague 10th&nbsp;December 2008.&nbsp;[A small variation of this can be found on this&nbsp;<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/251-forcing-in-lukasiewicz-logic\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Free MV algebras as direct limit<\/strong>, <em>Slovak Academy of Sciences<\/em>. Bratislava 25th&nbsp;September 2008.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/264-free-mv-algebras-as-direct-limit\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Fixed points in  many-valued logic<\/strong>, University of Tbilisi, 2d&nbsp;June 2008.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/268-fixed-points-in-many-valued-logic\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Logique Multi-Valeur: une introduction<\/strong>, Institute Camille Jordan, University of Lyon I, 22d&nbsp;September 2005. English and French&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/239-logique-multi-valeur-une-introduction\/\">Slides page<\/a>]<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Invited&nbsp;courses<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Algebra della Logica<\/strong>. Scuola Estiva di Logica.&nbsp;&nbsp;20 &#8211; 26 August&nbsp;2017. Palazzo Feltrinelli, Gargano, Italy.&nbsp;[See the <a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/1070-corso-di-algebra-della-logica-alla-scuola-aila-2017\/\">course webpage<\/a>]<\/li>\n\n\n\n<li><strong>Dualities<\/strong>. 16th Latin American Symposium on Mathematical Logic.&nbsp;28th July &#8211; &nbsp;1Sst August 2014.&nbsp;Buenos Aires, Argentina. [<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/526-tutorial-on-dualities\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>\u0141ukasiewicz logic and MV algebras, <\/strong><a href=\"http:\/\/bertato.wix.com\/pmuv\">Philosophy and Mathematics of Uncertainty and Vagueness<\/a>, 6th-15th&nbsp;August 2012, Campinas (SP), Brazil. [<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-content\/uploads\/Campinas.pdf\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>An introduction to many-valued logic and its algebraic semantics<\/strong>, <a href=\"http:\/\/www.logic.at\/tbilisi09\/\">Tbilisi Summer school in Logic<\/a>, 28th&nbsp;September &#8211;&nbsp;2d&nbsp;October 2009.&nbsp;[A small variation of this can be found on this&nbsp;<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/282-%ef%bf%bc%ef%bf%bc%ef%bf%bc%ef%bf%bc%ef%bf%bc%ef%bf%bc%ef%bf%bcintroduction-to-fuzzy-sets-and-fuzzy-logic\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Introduction to Fuzzy Sets and Fuzzy Logic<\/strong>,<a href=\"http:\/\/www.dipmat.unipg.it\/reasonpark\/\"> <em>REASONPARK<\/em>. Foligno<\/a>, 17th-19th&nbsp;September 2009.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/282-%ef%bf%bc%ef%bf%bc%ef%bf%bc%ef%bf%bc%ef%bf%bc%ef%bf%bc%ef%bf%bcintroduction-to-fuzzy-sets-and-fuzzy-logic\/\">Slides page<\/a>]<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Contributed presentations<\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Relative ideals, homological categories and non-classical logics<\/strong>. <a href=\"https:\/\/www.congressi.unisi.it\/latd25\/\">Logic Algebra and Truth Degrees<\/a>. Siena 21-25 July 2025<\/li>\n\n\n\n<li><strong>Some observations on the category of polyhedra<\/strong>. <a href=\"https:\/\/sites.google.com\/view\/tolo7\/\">ToLo Workshop<\/a>. Tbilisi 23-27 June 2025<\/li>\n\n\n\n<li><strong>Weil 2-rigs<\/strong>. <a href=\"https:\/\/ailameeting24.uniud.it\" data-type=\"link\" data-id=\"https:\/\/ailameeting24.uniud.it\">XXVIII Incontro di Logica AILA <\/a>Udine, September 2024<\/li>\n\n\n\n<li><strong>Ideals in the Two-Sorted Variety of Equational States<\/strong>. <a href=\"https:\/\/www.eusflat2023.eu\/88603\/detail\/eusflat-13th-conference-of-the-european-society-for-fuzzy-logic-and-technology-jointly-with-the-ago.html\">EUSFLAT 2023<\/a>, Palma, Spain. September 2023<\/li>\n\n\n\n<li><strong>The logic FP(L,L) and two-sorted equational states<\/strong>. <a href=\"https:\/\/isipta23.sipta.org\">ISIPTA 2023<\/a>, Oviedo, Spain. July 2023<\/li>\n\n\n\n<li><strong>The coordinatization of the spectra of \u2113-groups<\/strong>. <a href=\"https:\/\/www.mat.uc.pt\/~tacl2021\/#page-top\">TACL 2022<\/a>, Coimbra, 20-24 June 2022<\/li>\n\n\n\n<li><strong>An algebraic study of \u0141ukasiewicz logic with hedges<\/strong>. <a href=\"http:\/\/events.illc.uva.nl\/Tbilisi\/Tbilisi2019\/\">TbiLLC XIII <\/a>Batumi,&nbsp;16-20 September 2019.<\/li>\n\n\n\n<li><strong>Stone-Gelfand duality, for groups: Topological duality and equational axiomatisation for norm-complete lattice-groups<\/strong>. <em>Strutture residuate e strutture quantistiche: logica, algebra e applicazioni<\/em>. Cagliari, 9-10 September 2019.<\/li>\n\n\n\n<li><strong>Norm complete abelian l-groups: topological duality<\/strong>. <a href=\"https:\/\/math.unice.fr\/tacl\/2019\/\">TACL IX<\/a>. Nice, 17 &#8211; 21 June 2019.<\/li>\n\n\n\n<li><strong>Denominator&nbsp;respecting maps<\/strong>.&nbsp;XXVI Incontro AILA. Padova, Italia, 25-28 September 2017.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-content\/uploads\/Padova.pdf\">Slides<\/a>]<\/li>\n\n\n\n<li><strong>\u0141ukasiewicz logic, with coefficients<\/strong>.&nbsp;Logic Colloquium 2017. Stockholm, Sweden, 14-20 August 2017.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-content\/uploads\/Stoccolma.pdf\">Slides<\/a>]<\/li>\n\n\n\n<li><strong>The Nullstellensatz for varieties, and topological dualities<\/strong>.&nbsp;XX Congresso dell\u2019unione Matematica Italiana. Siena, Italy. 7th-12th September&nbsp;2015.&nbsp;&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/476-dualities-and-geometry\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Canonical formulas for k-potent residuated lattices<\/strong>.&nbsp;<a href=\"http:\/\/www.appliedlogictudelft.nl\/seminar\/\">IV Logic, Algebra and Truth Degrees 2014 (LATD 2014)<\/a>.&nbsp;Vienna, Austria. 16th-19th&nbsp;July 2014. [<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/533-canonical-formulas-for-k-potent-residuated-lattices\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Dualities and Geometry<\/strong>.&nbsp;<a href=\"http:\/\/ailapisa2014.weebly.com\">XXV incontro dell&#8217;Associazione Italiana di Logica e sue Applicazioni<\/a>. 14th-17th April 2014, Pisa, Italy.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/476-dualities-and-geometry\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>A general framework for dualities<\/strong>. <a href=\"http:\/\/www.cs.mcgill.ca\/~prakash\/Bellairs\/14\/wshop14.html\">Workshops on Duality and Probabilistic Systems,<\/a> 14th &#8211; 21st March 2014. Bellairs, Barbados.&nbsp;[Sorry, no slides: (open air!) blackboard presentation]<\/li>\n\n\n\n<li><strong>Canonical Formulas and Residuated Lattices<\/strong>.&nbsp;Shanks Workshop on Ordered Algebras and Logic 22th-23th&nbsp;February 2014, Nashville, US.&nbsp;[Sorry, no slides: blackboard presentation.]<\/li>\n\n\n\n<li><strong>An Isomorphism Criterion for Colimits of Sequences of Finitely Presented Objects<\/strong>,&nbsp;<a href=\"http:\/\/www2.cs.cas.cz\/~cintula\/lpar-workshop-ALCS.html\">International Workshop on Algebraic Logic in Computer Science<\/a> (a satellite workshop of &nbsp;<a href=\"http:\/\/www.lpar-19.info\">LPAR<\/a>). 14th-19th&nbsp;December&nbsp;2013,&nbsp;Stellenbosch, South Africa.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/473-two-isomorphism-criteria\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>A general framework for geometric dualities for varieties of algebras,&nbsp;<\/strong><a href=\"http:\/\/www.math.vanderbilt.edu\/~tacl2013\/\">TACL VI<\/a>, 28th&nbsp;July-1st August&nbsp;2013, Nashville, US. [Sorry, no slides: blackboard presentation.]<\/li>\n\n\n\n<li><strong>Dualit\u00e0 geometriche per la logica di \u0141ukasiewicz,<\/strong>&nbsp;(featured presentation)&nbsp;<em>XIX Congresso dell\u2019Unione Matematica Italiana<\/em>, Bologna, 15th&nbsp;September 2011. &nbsp;A&nbsp;small variation of this can be found on this&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/316-dualities-for-mv-algebras\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>The unification type of \u0141ukasiewicz logic is nullary,&nbsp;<\/strong>(featured presentation)&nbsp;<em>TACL V<\/em>, Marseille, 25th-30th&nbsp;July 2011. [<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/311-the-unification-type-of-lukasiewicz-logic-is-nullary\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Omitting type theorems for \u0141ukasiewicz Logic<\/strong>, <em>ManyVal10: Beyond algebraic semantics: bridging intended and formal interpretations of many-valued logics<\/em>. Varese 3-5 May 2010.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/305-omitting-type-theorems-for-lukasiewicz-logic\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>A uniform version on Di Nola Theorem, <\/strong>Probability, Uncertainty and Rationality, Certosa di Pontignano, Siena 1-3 November 2009. [<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/293-a-uniform-version-of-di-nola-theorem\/\">Slides page]<\/a><\/li>\n\n\n\n<li><strong>Advances in the theory of fixed points in many-valued logics<\/strong>, <em>VIII International Tbilisi Symposium on Language, Logic and Computation<\/em>. Bakuriani, 21-25 September 2009.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/279-advances-in-the-theory-of-fixed-points-in-many-valued-logics\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Some consequences of compactness in \u0141ukasiewicz Predicate Logic<\/strong>, <em>VII Panhellenic Logic Symposium<\/em>, Patras 15-19 July 2009.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/288-some-consequences-of-compactness-in-lukasiewicz-predicate-logic\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Small advances in the algebraic proof theory of substructural logics<\/strong>,&nbsp;<a href=\"http:\/\/www.illc.uva.nl\/tacl09\/\"><em>TACL IV<\/em><\/a>. Amsterdam 7-11 July 2009.&nbsp;[Slides page]<\/li>\n\n\n\n<li><strong>\u03bc\u0141\u03a0-algebre libere<\/strong>, <em>XVIII Congresso UMI<\/em>. Bari 24-29 September 2007.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/255-costruzioni-universali-nella-varieta-mulpi\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Freedom in \u03bc\u0141\u03a0 algebras<\/strong>, <a href=\"http:\/\/people.maths.ox.ac.uk\/hap\/tancl07\/\"><em>TA(N)CL III<\/em>, <\/a>Oxford, 6-9 August 2007.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/260-free-mul%cf%80-algebras\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>Finite and infinite forcing in \u0141ukasiewicz logic<\/strong>, <em>3d MATHLOGAP workshop<\/em>. Aussois 24-30 June 2007.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/195-forcing-in-lukasiewicz-predicate-logic\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>\u03bcMV algebras: an approach to fixed points in \u0141ukasiewicz logic<\/strong>, <em>The Logic of Soft Computing<\/em>. Malaga, 13-15 September 2006.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/181-mumv-algebras-an-approach-to-fixed-points-in-lukasiewicz-logic\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>\u0141\u03a0 logic with fixed points operator<\/strong>, <a href=\"http:\/\/www.mat.ub.edu\/~logica\/meeting2005\/\"><em>TA(N)CL II<\/em><\/a>. Barcelona 15-18 June 2005.&nbsp;[<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/232-lpi-logic-with-fixed-point-operator\/\">Slides page<\/a>]<\/li>\n\n\n\n<li><strong>\u0141\u03a0q algebras and quasifields<\/strong>, <em>Kurt Goedel Colloquium<\/em>. Vienna 25-30 August 2003. [<a href=\"http:\/\/logica.dipmat.unisa.it\/lucaspada\/228-lpq-algebras-and-quasifields\/\">Slides page<\/a>]<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Publications Preprints My preprints on ArXiv.org. International journals Proceeding with referee Book chapters Invited papers Other Presentations Invited&nbsp;conferences Invited seminars Invited&nbsp;courses Contributed presentations<\/p>\n","protected":false},"author":1,"featured_media":2363,"parent":0,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-11","page","type-page","status-publish","has-post-thumbnail","hentry"],"blocksy_meta":[],"_links":{"self":[{"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/pages\/11","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/comments?post=11"}],"version-history":[{"count":179,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/pages\/11\/revisions"}],"predecessor-version":[{"id":2356,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/pages\/11\/revisions\/2356"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/media\/2363"}],"wp:attachment":[{"href":"http:\/\/logica.dipmat.unisa.it\/lucaspada\/wp-json\/wp\/v2\/media?parent=11"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}