| Records |
| Author |
Piperno, Adolfo; Tronci, Enrico |
| Title |
Regular Systems of Equations in λ-calculus |
Type |
Journal Article |
| Year |
1990 |
Publication |
Int. J. Found. Comput. Sci. |
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| Volume |
1 |
Issue |
3 |
Pages |
325-340 |
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| Abstract |
Many problems arising in equational theories like Lambda-calculus and Combinatory Logic can be expressed by combinatory equations or systems of equations. However, the solvability problem for an arbitrarily given class of systems is in general undecidable. In this paper we shall focus our attention on a decidable class of systems, which will be called regular systems, and we shall analyse some classical problems and well-known properties of Lambda-calculus that can be described and solved by means of regular systems. The significance of such class will be emphasized showing that for slight extensions of it the solvability problem turns out to be undecidable. |
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yes |
| Call Number |
Sapienza @ mari @ ijfcs90 |
Serial |
60 |
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| Author |
Piperno, Adolfo; Tronci, Enrico |
| Title |
Regular Systems of Equations in λ-calculus |
Type |
Conference Article |
| Year |
1989 |
Publication |
Ictcs |
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Many problems arising in equational theories like Lambda-calculus and Combinatory Logic can be expressed by combinatory equations or systems of equations. However, the solvability problem for an arbitrarily given class of systems is in general undecidable. In this paper we shall focus our attention on a decidable class of systems, which will be called regular systems, and we shall analyse some classical problems and well-known properties of Lambda-calculus that can be described and solved by means of regular systems. The significance of such class will be emphasized showing that for slight extensions of it the solvability problem turns out to be undecidable. |
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Place of Publication |
Mantova - Italy |
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yes |
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Sapienza @ mari @ ictcs89 |
Serial |
61 |
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| Author |
Böhm, Corrado; Piperno, Adolfo; Tronci, Enrico |
| Title |
Solving Equations in λ-calculus |
Type |
Conference Article |
| Year |
1989 |
Publication |
Proc. of: Logic Colloquium 88 |
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Padova - Italy |
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yes |
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Sapienza @ mari @ logic-colloquium-88 |
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62 |
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| Author |
Böhm, Corrado; Tronci, Enrico |
| Title |
X-Separability and Left-Invertibility in lambda-calculus |
Type |
Conference Article |
| Year |
1987 |
Publication |
Symposium on Logic in Computer Science (LICS) |
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Pages |
320-328 |
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IEEE Computer Society |
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Ithaca, New York, USA |
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yes |
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Sapienza @ mari @ lics87 |
Serial |
63 |
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| Author |
Böhm, Corrado; Tronci, Enrico |
| Title |
X-separability and left-invertibility in the λ-calculus (extended abstract, invited paper) |
Type |
Conference Article |
| Year |
1987 |
Publication |
Proceedings of: Temi e prospettive della Logica e della Filosofia della Scienza contemporanea |
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Place of Publication |
Cesena - Italy |
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yes |
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Sapienza @ mari @ cesena87 |
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64 |
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| Author |
Bobbio, Andrea; Bologna, Sandro; Minichino, Michele; Ciancamerla, Ester; Incalcaterra, Piero; Kropp, Corrado; Tronci, Enrico |
| Title |
Advanced techniques for safety analysis applied to the gas turbine control system of Icaro co generative plant |
Type |
Conference Article |
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2001 |
Publication |
X Convegno Tecnologie e Sistemi Energetici Complessi |
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339-350 |
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The paper describes two complementary and integrable approaches, a probabilistic one and a deterministic one, based on classic and advanced modelling techniques for safety analysis of complex computer based systems. The probabilistic approach is based on classical and innovative probabilistic analysis methods. The deterministic approach is based on formal verification methods. Such approaches are applied to the gas turbine control system of ICARO co generative plant, in operation at ENEA CR Casaccia. The main difference between the two approaches, behind the underlining different theories, is that the probabilistic one addresses the control system by itself, as the set of sensors, processing units and actuators, while the deterministic one also includes the behaviour of the equipment under control which interacts with the control system. The final aim of the research, documented in this paper, is to explore an innovative method which put the probabilistic and deterministic approaches in a strong relation to overcome the drawbacks of their isolated, selective and fragmented use which can lead to inconsistencies in the evaluation results. |
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Genova, Italy |
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Approved |
yes |
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Sapienza @ mari @ tesec01 |
Serial |
65 |
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| Author |
Tronci, Enrico |
| Title |
On Computing Optimal Controllers for Finite State Systems |
Type |
Conference Article |
| Year |
1997 |
Publication |
CDC '97: Proceedings of the 36th IEEE International Conference on Decision and Control |
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IEEE Computer Society |
Place of Publication |
Washington, DC, USA |
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yes |
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Sapienza @ mari @ cdc97 |
Serial |
66 |
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| Author |
Tronci, Enrico |
| Title |
Optimal Finite State Supervisory Control |
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Conference Article |
| Year |
1996 |
Publication |
CDC '96: Proceedings of the 35th IEEE International Conference on Decision and Control |
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Supervisory Controllers are Discrete Event Dynamic Systems (DEDSs) forming the discrete core of a Hybrid Control System. We address the problem of automatic synthesis of Optimal Finite State Supervisory Controllers (OSCs). We show that Boolean First Order Logic (BFOL) and Binary Decision Diagrams (BDDs) are an effective methodological and practical framework for Optimal Finite State Supervisory Control. Using BFOL programs (i.e. systems of boolean functional equations) and BDDs we give a symbolic (i.e. BDD based) algorithm for automatic synthesis of OSCs. Our OSC synthesis algorithm can handle arbitrary sets of final states as well as plant transition relations containing loops and uncontrollable events (e.g. failures). We report on experimental results on the use of our OSC synthesis algorithm to synthesize a C program implementing a minimum fuel OSC for two autonomous vehicles moving on a 4 x 4 grid. |
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IEEE Computer Society |
Place of Publication |
Washington, DC, USA |
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yes |
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Sapienza @ mari @ cdc96 |
Serial |
67 |
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| 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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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. |
Place of Publication |
Duluth, MN, USA |
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0890-5401 |
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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 |
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13 |
Issue |
1 |
Pages |
15-53 |
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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 |
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New York, NY, USA |
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0960-1295 |
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Approved |
yes |
| Call Number |
Sapienza @ mari @ Bucciarelli-Piperno-Salvo:MSCS-03 |
Serial |
69 |
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