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Author |
Bucciarelli, Antonio; Salvo, Ivano |
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Title |
Totality, Definability and Boolean Circuits |
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Journal Article |
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Year  |
1998 |
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Volume |
1443 |
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808-819 |
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Abstract |
In the type frame originating from the flat domain of boolean values, we single out elements which are hereditarily total. We show that these elements can be defined, up to total equivalence, by sequential programs. The elements of an equivalence class of the totality equivalence relation (totality class) can be seen as different algorithms for computing a given set-theoretic boolean function. We show that the bottom element of a totality class, which is sequential, corresponds to the most eager algorithm, and the top to the laziest one. Finally we suggest a link between size of totality classes and a well known measure of complexity of boolean functions, namely their sensitivity. |
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Springer |
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yes |
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Call Number |
Sapienza @ mari @ bucciarelli-salvo:98 |
Serial |
70 |
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Author |
Bucciarelli, Antonio; de Lorenzis, Silvia; Piperno, Adolfo; Salvo, Ivano |
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Title |
Some Computational Properties of Intersection Types (Extended Abstract) |
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Journal Article |
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Year |
1999 |
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109-118 |
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Keywords |
lambda calculusCurry types, intersection types, lambda-definability, lambda-terms, strong normalization |
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Abstract |
This paper presents a new method for comparing computation-properties of λ-terms typeable with intersection types with respect to terms typeable with Curry types. In particular, strong normalization and λ-definability are investigated. A translation is introduced from intersection typing derivations to Curry typeable terms; the main feature of the proposed technique is that the translation is preserved by β-reduction. This allows to simulate a computation starting from a term typeable in the intersection discipline by means of a computation starting from a simply typeable term. Our approach naturally leads to prove strong normalization in the intersection system by means of purely syntactical techniques. In addition, the presented method enables us to give a proof of a conjecture proposed by Leivant in 1990, namely that all functions uniformly definable using intersection types are already definable using Curry types. |
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IEEE Computer Society |
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yes |
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Call Number |
Sapienza @ mari @ bucciarelli-delorenzis-piperno-salvo:99 |
Serial |
71 |
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Author |
Intrigila, Benedetto; Salvo, Ivano; Sorgi, Stefano |
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Title |
A characterization of weakly Church-Rosser abstract reduction systems that are not Church-Rosser |
Type |
Journal Article |
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Year |
2001 |
Publication |
Information and Computation |
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Volume |
171 |
Issue |
2 |
Pages |
137-155 |
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Abstract |
Basic properties of rewriting systems can be stated in the framework of abstract reduction systems (ARS). Properties like confluence (or Church-Rosser, CR) and weak confluence (or weak Church-Rosser, WCR) and their relationships can be studied in this setting: as a matter of fact, well-known counterexamples to the implication WCR CR have been formulated as ARS. In this paper, starting from the observation that such counterexamples are structurally similar, we set out a graph-theoretic characterization of WCR ARS that is not CR in terms of a suitable class of reduction graphs, such that in every WCR not CR ARS, we can embed at least one element of this class. Moreover, we give a tighter characterization for a restricted class of ARS enjoying a suitable regularity condition. Finally, as a consequence of our approach, we prove some interesting results about ARS using the mathematical tools developed. In particular, we prove an extension of the Newman’s lemma and we find out conditions that, once assumed together with WCR property, ensure the unique normal form property. The Appendix treats two interesting examples, both generated by graph-rewriting rules, with specific combinatorial properties. |
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Academic Press, Inc. |
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Duluth, MN, USA |
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ISSN |
0890-5401 |
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yes |
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Call Number |
Sapienza @ mari @ Intrigila-Salvo-Sorgi:01 |
Serial |
68 |
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Author |
Bono, V.; Salvo, I. |
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Title |
A CuCh Interpretation of an Object-Oriented Language |
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Journal Article |
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Year |
2001 |
Publication |
Electronic Notes in Theoretical Computer Science |
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Volume |
50 |
Issue |
2 |
Pages |
159-177 |
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Abstract |
CuCh machine extends pure lambda–calculus with algebraic data types and provides a the possibility of defining functions over the disjoint sum of algebras. We exploit such natural form of overloading to define a functional interpretation of a simple, but significant fragment of a typical object-oriented language. |
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Elsevier |
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BOTH 2001, Bohm’s theorem: applications to Computer Science Theory (Satellite Workshop of ICALP 2001) |
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yes |
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Call Number |
Sapienza @ mari @ Bono-Salvo:BOTH01 |
Serial |
72 |
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Author |
Barbanera, Franco; Dezani-Ciancaglini, Mariangiola; Salvo, Ivano; Sassone, Vladimiro |
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Title |
A Type Inference Algorithm for Secure Ambients |
Type |
Journal Article |
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Year |
2002 |
Publication |
Electronic Notes in Theoretical Computer Science |
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Volume |
62 |
Issue |
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Pages |
83-101 |
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Abstract |
We consider a type discipline for the Ambient Calculus that associates ambients with security levels and constrains them to be traversed by or opened in ambients of higher security clearance only. We present a bottom-up algorithm that, given an untyped process P, computes a minimal set of constraints on security levels such that all actions during runs of P are performed without violating the security level priorities. Such an algorithm appears to be a prerequisite to use type systems to ensure security properties in the web scenario. |
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Elsevier |
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TOSCA 2001, Theory of Concurrency, Higher Order Languages and Types |
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yes |
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Call Number |
Sapienza @ mari @ Barbanera-Dezani-Salvo-Sassone:01 |
Serial |
73 |
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Author |
Bucciarelli, Antonio; Piperno, Adolfo; Salvo, Ivano |
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Title |
Intersection types and λ-definability |
Type |
Journal Article |
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Year |
2003 |
Publication |
Mathematical Structures in Computer Science |
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Volume |
13 |
Issue |
1 |
Pages |
15-53 |
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Abstract |
This paper presents a novel method for comparing computational properties of λ-terms that are typeable with intersection types, with respect to terms that are typeable with Curry types. We introduce a translation from intersection typing derivations to Curry typeable terms that is preserved by β-reduction: this allows the simulation of a computation starting from a term typeable in the intersection discipline by means of a computation starting from a simply typeable term. Our approach proves strong normalisation for the intersection system naturally by means of purely syntactical techniques. The paper extends the results presented in Bucciarelli et al. (1999) to the whole intersection type system of Barendregt, Coppo and Dezani, thus providing a complete proof of the conjecture, proposed in Leivant (1990), that all functions uniformly definable using intersection types are already definable using Curry types. |
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Cambridge University Press |
Place of Publication |
New York, NY, USA |
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ISSN |
0960-1295 |
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Approved |
yes |
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Call Number |
Sapienza @ mari @ Bucciarelli-Piperno-Salvo:MSCS-03 |
Serial |
69 |
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Author |
Coppo, Mario; Dezani-Ciancaglini, Mariangiola; Giovannetti, Elio; Salvo, Ivano |
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Title |
Mobility Types for Mobile Processes in Mobile Ambients |
Type |
Journal Article |
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Year |
2003 |
Publication |
Electr. Notes Theor. Comput. Sci. |
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78 |
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We present an ambient-like calculus in which the open capability is dropped, and a new form of “lightweight†process mobility is introduced. The calculus comes equipped with a type system that allows the kind of values exchanged in communications and the access and mobility properties of processes to be controlled. A type inference procedure determines the “minimal†requirements to accept a system or a component as well typed. This gives a kind of principal typing. As an expressiveness test, we show that some well known calculi of concurrency and mobility can be encoded in our calculus in a natural way. |
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yes |
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Call Number |
Sapienza @ mari @ Coppo-Dezani-Giovannetti-Salvo:03 |
Serial |
74 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico; Alvisi, Lorenzo; Clement, Allen; Li, Harry |
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Title |
Model Checking Nash Equilibria in MAD Distributed Systems |
Type |
Conference Article |
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Year |
2008 |
Publication |
FMCAD '08: Proceedings of the 2008 International Conference on Formal Methods in Computer-Aided Design |
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1-8 |
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Keywords |
Model Checking, MAD Distributed System, Nash Equilibrium |
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We present a symbolic model checking algorithm for verification of Nash equilibria in finite state mechanisms modeling Multiple Administrative Domains (MAD) distributed systems. Given a finite state mechanism, a proposed protocol for each agent and an indifference threshold for rewards, our model checker returns PASS if the proposed protocol is a Nash equilibrium (up to the given indifference threshold) for the given mechanism, FAIL otherwise. We implemented our model checking algorithm inside the NuSMV model checker and present experimental results showing its effectiveness for moderate size mechanisms. For example, we can handle mechanisms which corresponding normal form games would have more than $10^20$ entries. To the best of our knowledge, no model checking algorithm for verification of mechanism Nash equilibria has been previously published. |
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IEEE Press |
Place of Publication |
Piscataway, NJ, USA |
Editor |
Cimatti, A.; Jones, R. |
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978-1-4244-2735-2 |
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Approved |
yes |
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Call Number |
Sapienza @ mari @ MarMelSalTroAlvCle08 |
Serial |
93 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico; Alvisi, Lorenzo; Clement, Allen; Li, Harry |
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Title |
Model Checking Coalition Nash Equilibria in MAD Distributed Systems |
Type |
Conference Article |
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Year |
2009 |
Publication |
Stabilization, Safety, and Security of Distributed Systems, 11th International Symposium, SSS 2009, Lyon, France, November 3-6, 2009. Proceedings |
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531-546 |
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We present two OBDD based model checking algorithms for the verification of Nash equilibria in finite state mechanisms modeling Multiple Administrative Domains (MAD) distributed systems with possibly colluding agents (coalitions) and with possibly faulty or malicious nodes (Byzantine agents). Given a finite state mechanism, a proposed protocol for each agent and the maximum sizes f for Byzantine agents and q for agents collusions, our model checkers return Pass if the proposed protocol is an ε-f-q-Nash equilibrium, i.e. no coalition of size up to q may have an interest greater than ε in deviating from the proposed protocol when up to f Byzantine agents are present, Fail otherwise. We implemented our model checking algorithms within the NuSMV model checker: the first one explicitly checks equilibria for each coalition, while the second represents symbolically all coalitions. We present experimental results showing their effectiveness for moderate size mechanisms. For example, we can verify coalition Nash equilibria for mechanisms which corresponding normal form games would have more than $5 \times 10^21$ entries. Moreover, we compare the two approaches, and the explicit algorithm turns out to outperform the symbolic one. To the best of our knowledge, no model checking algorithm for verification of Nash equilibria of mechanisms with coalitions has been previously published. |
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Springer |
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Guerraoui, R.; Petit, F. |
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Lecture Notes in Computer Science |
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5873 |
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yes |
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Call Number |
Sapienza @ mari @ sss09 |
Serial |
19 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Synthesis of Quantized Feedback Control Software for Discrete Time Linear Hybrid Systems |
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Conference Article |
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Year |
2010 |
Publication |
Computer Aided Verification |
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180-195 |
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Abstract |
We present an algorithm that given a Discrete Time Linear Hybrid System returns a correct-by-construction software implementation K for a (near time optimal) robust quantized feedback controller for along with the set of states on which K is guaranteed to work correctly (controllable region). Furthermore, K has a Worst Case Execution Time linear in the number of bits of the quantization schema. |
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Springer Berlin / Heidelberg |
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Touili, T.; Cook, B.; Jackson, P. |
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Lecture Notes in Computer Science |
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6174 |
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yes |
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Call Number |
Sapienza @ mari @ cav2010 |
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16 |
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