معرفی
Luigi Santocanale is a Full Professor in Computer Science at Aix-Marseille University, affiliated with the Laboratoire d'Informatique et Systèmes (LIS), UMR CNRS 7020, and member of the LSC research group. He is responsible for the 3rd year of the Licence Informatique, parcours Informatique Mathématique at Aix-Marseille University. His academic career includes previous affiliations with LIRICA@LIS, MOVE@LIF, LABRI, CPSC@UCalgary, BRICS, and UQAM.
Professor Santocanale's research spans three interconnected domains: Order Theory, Category Theory and Universal Algebra (including Lattice theory, Topos Theory, and Enriched Category Theory); Combinatorics (focusing on Ordered sets, species theory, and game theory); and Logic in Computer Science (covering Intuitionistic logic, mu-calculus, decision problems for free algebraic objects, semantics of programming languages, and algebraic structures of distributed computing). His current research directions include lattice theory applications to databases, logics with fixed points, ordered sets in combinatorics, and circular proofs in mu-bicomplete categories.
He has served as project coordinator for the ANR SOAPDC (Order Structures and Applications to Distributed, Parallel and Concurrent Computing) project and has been involved in numerous other research initiatives including LAMBDACOMB, RECIPROG, TICAMORE, MFL, TRECOLOCOCO, CHOCO, and TAGADA. Professor Santocanale is actively engaged with the academic community as a Program Committee member for major conferences including RAMiCS 2024 and TACL 2024.
His significant contributions include:
- Decidability of the equational theory of relational lattices with applications to database query optimization
- Characterization of closure ordinals in modal mu-calculus
- Work on equational theories of permutation lattices (Permutohedra) and associahedra
- Development of circular proof systems for mu-bicomplete categories
Professor Santocanale has organized and participated in the Marseille Lattice Working Group and has collaborated extensively with researchers including Fred Wehrung, M. J. Gouveia, and Nathalie Caspard. His work bridges theoretical computer science, mathematical logic, and algebraic structures, with implications for programming language semantics and distributed computing.
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