Mathematical Logic
The members of the group pursue research in model checking, satisfiability modulo theories, algebraic logic, many-valued logic, ordered algebraic structures, foundations of mathematics, categorical logic, and applications of category theory to computer science.
Keywords
Mathematical logic, many-valued logic, model checking, SAT modulo theories, ordered algebraic structures, category theory, semantics of programming languages
Pubblications
A. Bucalo and G. Rosolini. Completions, comonoids, and topological spaces. Annals of Pure and Applied Logic, vol. 137, 2006, pp. 104–125.
S. Ghilardi and S. Ranise. Backward Reachability of Array-based Systems by SMT Solving: Termination and Invariant Synthesis. Logical Methods in Computer Science, vol. 6, n. 4, 2010, 39 pp.
F. Baader, S. Ghilardi, and C. Lutz. LTL over Description Logic Axioms. ACM Transactions on Computational Logic, 37 pp., in stampa (2012).
V. Marra. Lattice-ordered Abelian groups and Schauder bases of unimodular fans, II. Transactions of the American Mathematical Society, 23 pp., in stampa (2012).
V. Marra and L. Spada, Duality, projectivity, and unification in Łukasiewicz logic and MV-algebras. Annals of Pure and Applied Logic, 19 pp., in stampa (2012).
Funded Projects related to the Research Theme
PRIN2008: Logic and algebra of uncertain information. (Head of the unit in Milan: V. Marra.)
PRIN2010: Logical methods for the management of information. (Head of the unit in Milan: S. Ghilardi.)
FIRB2010 Futuro in ricerca: Probability theory of non-classical events. (PI: V. Marra)
Components
Members from the Department of Mathematics | ||
---|---|---|
Anna Bucalo | info | |
Silvio Ghilardi | info | |
Vincenzo Marra | info | |
Giancarlo Meloni | info | |
Matteo Bianchi | postdoc till April 2013 | info |
Maurice Chiodo | postdoc till September 2013 | info |
Andrea Pedrini | postdoc till January 2015 |