Records |
Author |
Intrigila, Benedetto; Salvo, Ivano; Sorgi, Stefano |
Title |
A characterization of weakly Church-Rosser abstract reduction systems that are not Church-Rosser |
Type |
Journal Article |
Year |
2001 |
Publication |
Information and Computation |
Abbreviated Journal |
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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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Publisher |
Academic Press, Inc. |
Place of Publication |
Duluth, MN, USA |
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Edition |
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ISSN |
0890-5401 |
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Notes |
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Approved |
yes |
Call Number |
Sapienza @ mari @ Intrigila-Salvo-Sorgi:01 |
Serial |
68 |
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Author |
Bucciarelli, Antonio; Piperno, Adolfo; Salvo, Ivano |
Title |
Intersection types and λ-definability |
Type |
Journal Article |
Year |
2003 |
Publication |
Mathematical Structures in Computer Science |
Abbreviated Journal |
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Volume |
13 |
Issue |
1 |
Pages |
15-53 |
Keywords |
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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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Edition |
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ISSN |
0960-1295 |
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Approved |
yes |
Call Number |
Sapienza @ mari @ Bucciarelli-Piperno-Salvo:MSCS-03 |
Serial |
69 |
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Author |
Bucciarelli, Antonio; Salvo, Ivano |
Title |
Totality, Definability and Boolean Circuits |
Type |
Journal Article |
Year |
1998 |
Publication |
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Abbreviated Journal |
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Volume |
1443 |
Issue |
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Pages |
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 |
Call Number |
Sapienza @ mari @ bucciarelli-salvo:98 |
Serial |
70 |
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Author |
Bucciarelli, Antonio; de Lorenzis, Silvia; Piperno, Adolfo; Salvo, Ivano |
Title |
Some Computational Properties of Intersection Types (Extended Abstract) |
Type |
Journal Article |
Year |
1999 |
Publication |
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Abbreviated Journal |
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Volume |
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Issue |
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Pages |
109-118 |
Keywords |
lambda calculusCurry types, intersection types, lambda-definability, lambda-terms, strong normalization |
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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Publisher |
IEEE Computer Society |
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Approved |
yes |
Call Number |
Sapienza @ mari @ bucciarelli-delorenzis-piperno-salvo:99 |
Serial |
71 |
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Author |
Bono, V.; Salvo, I. |
Title |
A CuCh Interpretation of an Object-Oriented Language |
Type |
Journal Article |
Year |
2001 |
Publication |
Electronic Notes in Theoretical Computer Science |
Abbreviated Journal |
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Volume |
50 |
Issue |
2 |
Pages |
159-177 |
Keywords |
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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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Notes |
BOTH 2001, Bohm’s theorem: applications to Computer Science Theory (Satellite Workshop of ICALP 2001) |
Approved |
yes |
Call Number |
Sapienza @ mari @ Bono-Salvo:BOTH01 |
Serial |
72 |
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Author |
Barbanera, Franco; Dezani-Ciancaglini, Mariangiola; Salvo, Ivano; Sassone, Vladimiro |
Title |
A Type Inference Algorithm for Secure Ambients |
Type |
Journal Article |
Year |
2002 |
Publication |
Electronic Notes in Theoretical Computer Science |
Abbreviated Journal |
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Volume |
62 |
Issue |
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Pages |
83-101 |
Keywords |
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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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Notes |
TOSCA 2001, Theory of Concurrency, Higher Order Languages and Types |
Approved |
yes |
Call Number |
Sapienza @ mari @ Barbanera-Dezani-Salvo-Sassone:01 |
Serial |
73 |
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Author |
Coppo, Mario; Dezani-Ciancaglini, Mariangiola; Giovannetti, Elio; Salvo, Ivano |
Title |
Mobility Types for Mobile Processes in Mobile Ambients |
Type |
Journal Article |
Year |
2003 |
Publication |
Electr. Notes Theor. Comput. Sci. |
Abbreviated Journal |
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Volume |
78 |
Issue |
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Pages |
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Abstract |
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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Approved |
yes |
Call Number |
Sapienza @ mari @ Coppo-Dezani-Giovannetti-Salvo:03 |
Serial |
74 |
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Author |
Della Penna, Giuseppe; Intrigila, Benedetto; Melatti, Igor; Tronci, Enrico; Venturini Zilli, Marisa |
Title |
Finite horizon analysis of Markov Chains with the Mur$\varphi$ verifier |
Type |
Journal Article |
Year |
2006 |
Publication |
Int. J. Softw. Tools Technol. Transf. |
Abbreviated Journal |
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Volume |
8 |
Issue |
4 |
Pages |
397-409 |
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Abstract |
In this paper we present an explicit disk-based verification algorithm for Probabilistic Systems defining discrete time/finite state Markov Chains. Given a Markov Chain and an integer k (horizon), our algorithm checks whether the probability of reaching an error state in at most k steps is below a given threshold. We present an implementation of our algorithm within a suitable extension of the Mur$\varphi$ verifier. We call the resulting probabilistic model checker FHP-Mur$\varphi$ (Finite Horizon Probabilistic Mur$\varphi$). We present experimental results comparing FHP-Mur$\varphi$ with (a finite horizon subset of) PRISM, a state-of-the-art symbolic model checker for Markov Chains. Our experimental results show that FHP-Mur$\varphi$ can handle systems that are out of reach for PRISM, namely those involving arithmetic operations on the state variables (e.g. hybrid systems). |
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Springer-Verlag |
Place of Publication |
Berlin, Heidelberg |
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Edition |
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ISSN |
1433-2779 |
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Notes |
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Approved |
yes |
Call Number |
Sapienza @ mari @ Dimtz06 |
Serial |
78 |
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Author |
Della Penna, Giuseppe; Intrigila, Benedetto; Melatti, Igor; Tronci, Enrico; Venturini Zilli, Marisa |
Title |
Exploiting Transition Locality in Automatic Verification of Finite State Concurrent Systems |
Type |
Journal Article |
Year |
2004 |
Publication |
Sttt |
Abbreviated Journal |
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Volume |
6 |
Issue |
4 |
Pages |
320-341 |
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Abstract |
In this paper we show that statistical properties of the transition graph of a system to be verified can be exploited to improve memory or time performances of verification algorithms. We show experimentally that protocols exhibit transition locality. That is, with respect to levels of a breadth-first state space exploration, state transitions tend to be between states belonging to close levels of the transition graph. We support our claim by measuring transition locality for the set of protocols included in the Mur$\varphi$ verifier distribution. We present a cache-based verification algorithm that exploits transition locality to decrease memory usage and a disk-based verification algorithm that exploits transition locality to decrease disk read accesses, thus reducing the time overhead due to disk usage. Both algorithms have been implemented within the Mur$\varphi$ verifier. Our experimental results show that our cache-based algorithm can typically save more than 40% of memory with an average time penalty of about 50% when using (Mur$\varphi$) bit compression and 100% when using bit compression and hash compaction, whereas our disk-based verification algorithm is typically more than ten times faster than a previously proposed disk-based verification algorithm and, even when using 10% of the memory needed to complete verification, it is only between 40 and 530% (300% on average) slower than (RAM) Mur$\varphi$ with enough memory to complete the verification task at hand. Using just 300 MB of memory our disk-based Mur$\varphi$ was able to complete verification of a protocol with about $10^9$ reachable states. This would require more than 5 GB of memory using standard Mur$\varphi$. |
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yes |
Call Number |
Sapienza @ mari @ DIMTZ04j |
Serial |
91 |
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Author |
Della Penna, Giuseppe; Tofani, Alberto; Pecorari, Marcello; Raparelli, Orazio; Intrigila, Benedetto; Melatti, Igor; Tronci, Enrico |
Title |
A Case Study on Automated Generation of Integration Tests |
Type |
Conference Article |
Year |
2006 |
Publication |
Fdl |
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Volume |
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Issue |
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Pages |
278-284 |
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Ecsi |
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978-3-00-019710-9 |
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yes |
Call Number |
Sapienza @ mari @ Dtprimt06 |
Serial |
27 |
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