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Author Piperno, Adolfo; Tronci, Enrico
Title Regular Systems of Equations in λ-calculus Type Journal Article
Year 1990 Publication Int. J. Found. Comput. Sci. Abbreviated Journal
Volume 1 Issue 3 Pages 325-340
Keywords
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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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 Abbreviated Journal
Volume Issue Pages
Keywords
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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Corporate Author Thesis
Publisher Place of Publication Mantova - Italy Editor
Language Summary Language Original Title
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Area Expedition Conference
Notes Approved yes
Call Number 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 Abbreviated Journal
Volume Issue Pages
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Publisher Place of Publication Padova - Italy Editor
Language Summary Language Original Title
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Notes Approved yes
Call Number Sapienza @ mari @ logic-colloquium-88 Serial 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) Abbreviated Journal
Volume Issue Pages 320-328
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Publisher IEEE Computer Society Place of Publication Ithaca, New York, USA Editor
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Notes Approved yes
Call Number 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 Abbreviated Journal
Volume Issue Pages
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Publisher Place of Publication Cesena - Italy Editor
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Notes Approved yes
Call Number Sapienza @ mari @ cesena87 Serial 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
Year 2001 Publication X Convegno Tecnologie e Sistemi Energetici Complessi Abbreviated Journal
Volume Issue Pages 339-350
Keywords
Abstract 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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Corporate Author Thesis
Publisher Place of Publication Genova, Italy Editor
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Notes Approved yes
Call Number 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 Abbreviated Journal
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Publisher IEEE Computer Society Place of Publication Washington, DC, USA Editor
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Notes Approved yes
Call Number Sapienza @ mari @ cdc97 Serial 66
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Author Tronci, Enrico
Title Optimal Finite State Supervisory Control Type Conference Article
Year 1996 Publication CDC '96: Proceedings of the 35th IEEE International Conference on Decision and Control Abbreviated Journal
Volume Issue Pages
Keywords
Abstract 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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Publisher IEEE Computer Society Place of Publication Washington, DC, USA Editor
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Notes Approved yes
Call Number 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
Volume 171 Issue 2 Pages 137-155
Keywords
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 Editor
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume (down) Series Issue Edition
ISSN 0890-5401 ISBN Medium
Area Expedition Conference
Notes 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
Volume 13 Issue 1 Pages 15-53
Keywords
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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Publisher Cambridge University Press Place of Publication New York, NY, USA Editor
Language Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume (down) Series Issue Edition
ISSN 0960-1295 ISBN Medium
Area Expedition Conference
Notes Approved yes
Call Number Sapienza @ mari @ Bucciarelli-Piperno-Salvo:MSCS-03 Serial 69
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