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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Synthesizing Control Software from Boolean Relations |
Type |
Journal Article |
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Year |
2012 |
Publication |
International Journal on Advances in Software |
Abbreviated Journal |
Intern. Journal on Advances in SW |
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Volume |
vol. 5, nr 3&4 |
Issue |
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Pages |
212-223 |
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Keywords |
Control Software Synthesis; Embedded Systems; Model Checking |
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Abstract |
Many software as well digital hardware automatic
synthesis methods define the set of
implementations meeting the given system
specifications with a boolean relation K. In
such a context a fundamental step in the software
(hardware) synthesis process is finding effective
solutions to the functional equation defined by
K. This entails finding a (set of) boolean
function(s) F (typically represented using
OBDDs, Ordered Binary Decision Diagrams)
such that: 1) for all x for which K is
satisfiable, K(x, F(x)) = 1 holds; 2) the
implementation of F is efficient with respect
to given implementation parameters such as code
size or execution time. While this problem has
been widely studied in digital hardware synthesis,
little has been done in a software synthesis
context. Unfortunately, the approaches developed
for hardware synthesis cannot be directly used in
a software context. This motivates investigation
of effective methods to solve the above problem
when F has to be implemented with software. In
this paper, we present an algorithm that, from an
OBDD representation for K, generates a C code
implementation for F that has the same size as
the OBDD for F and a worst case execution time
linear in nr, being n = |x| the number of
input arguments for functions in F and r the
number of functions in F. Moreover, a formal
proof of the proposed algorithm correctness is
also shown. Finally, we present experimental
results showing effectiveness of the proposed
algorithm. |
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IARIA |
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Editor |
Luigi Lavazza |
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ISSN |
1942-2628 |
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yes |
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Call Number  |
Sapienza @ melatti @ |
Serial |
108 |
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Author |
Tronci, E.; Mancini, T.; Mari, F.; Melatti, I.; Salvo, I.; Prodanovic, M.; Gruber, J. K.; Hayes, B.; Elmegaard, L. |
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Title |
Demand-Aware Price Policy Synthesis and Verification Services for Smart Grids |
Type |
Conference Article |
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Year |
2014 |
Publication |
Proceedings of Smart Grid Communications (SmartGridComm), 2014 IEEE International Conference On |
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Call Number |
Sapienza @ melatti @ |
Serial |
121 |
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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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Pages |
531-546 |
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Abstract |
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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Editor |
Guerraoui, R.; Petit, F. |
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Series Title |
Lecture Notes in Computer Science |
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Series Volume |
5873 |
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yes |
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Call Number |
Sapienza @ mari @ sss09 |
Serial |
19 |
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Author |
Alimguzhin, V.; Mari, F.; Melatti, I.; Salvo, I.; Tronci, E. |
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Title |
Linearising Discrete Time Hybrid Systems |
Type |
Journal Article |
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Year |
2017 |
Publication |
IEEE Transactions on Automatic Control |
Abbreviated Journal |
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Volume |
62 |
Issue |
10 |
Pages |
5357-5364 |
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Abstract |
Model Based Design approaches for embedded systems aim at generating correct-by-construction control software, guaranteeing that the closed loop system (controller and plant) meets given system level formal specifications. This technical note addresses control synthesis for safety and reachability properties of possibly non-linear discrete time hybrid systems. By means of syntactical transformations that require non-linear terms to be Lipschitz continuous functions, we over-approximate non-linear dynamics with a linear system whose controllers are guaranteed to be controllers of the original system. We evaluate performance of our approach on meaningful control synthesis benchmarks, also comparing it to a state-of-the-art tool. |
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ISSN |
0018-9286 |
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no |
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Call Number |
Sapienza @ mari @ ref7902199 |
Serial |
164 |
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Author |
Mari, Federico; Tronci, Enrico |
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Title |
CEGAR Based Bounded Model Checking of Discrete Time Hybrid Systems |
Type |
Conference Article |
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Year |
2007 |
Publication |
Hybrid Systems: Computation and Control (HSCC 2007) |
Abbreviated Journal |
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Pages |
399-412 |
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Keywords |
Model Checking, Abstraction, CEGAR, SAT, Hybrid Systems, DTHS |
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Abstract |
Many hybrid systems can be conveniently modeled as Piecewise Affine Discrete Time Hybrid Systems PA-DTHS. As well known Bounded Model Checking (BMC) for such systems comes down to solve a Mixed Integer Linear Programming (MILP) feasibility problem. We present a SAT based BMC algorithm for automatic verification of PA-DTHSs. Using Counterexample Guided Abstraction Refinement (CEGAR) our algorithm gradually transforms a PA-DTHS verification problem into larger and larger SAT problems. Our experimental results show that our approach can handle PA-DTHSs that are more then 50 times larger than those that can be handled using a MILP solver. |
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Springer |
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Editor |
Bemporad, A.; Bicchi, A.; Buttazzo, G.C. |
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Lecture Notes in Computer Science |
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Series Volume |
4416 |
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Notes |
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Approved |
yes |
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Call Number |
Sapienza @ mari @ MarTro07 |
Serial |
92 |
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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 |
Abbreviated Journal |
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Pages |
1-8 |
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Keywords |
Model Checking, MAD Distributed System, Nash Equilibrium |
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Abstract |
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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ISSN |
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 |
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Title |
Undecidability of Quantized State Feedback Control for Discrete Time Linear Hybrid Systems |
Type |
Book Chapter |
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Year |
2012 |
Publication |
Theoretical Aspects of Computing – ICTAC 2012 |
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Pages |
243-258 |
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Springer Berlin Heidelberg |
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Editor |
Roychoudhury, A.; D'Souza, M. |
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Lecture Notes in Computer Science |
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Series Volume |
7521 |
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978-3-642-32942-5 |
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yes |
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Call Number |
Sapienza @ mari @ Mari2012 |
Serial |
99 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Control Software Visualization |
Type |
Conference Article |
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Year |
2012 |
Publication |
Proceedings of INFOCOMP 2012, The Second International Conference on Advanced Communications and Computation |
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15-20 |
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ThinkMind |
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978-1-61208-226-4 |
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yes |
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Call Number |
Sapienza @ mari @ infocomp2012 |
Serial |
100 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Linear Constraints as a Modeling Language for Discrete Time Hybrid Systems |
Type |
Conference Article |
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Year |
2012 |
Publication |
Proceedings of ICSEA 2012, The Seventh International Conference on Software Engineering Advances |
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664-671 |
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ThinkMind |
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yes |
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Call Number |
Sapienza @ mari @ icsea12 |
Serial |
98 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
From Boolean Relations to Control Software |
Type |
Conference Article |
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Year |
2011 |
Publication |
Proceedings of ICSEA 2011, The Sixth International Conference on Software Engineering Advances |
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Pages |
528-533 |
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Abstract |
Many software as well digital hardware automatic synthesis methods define the set of implementations meeting the given system specifications with a boolean relation K. In such a context a fundamental step in the software (hardware) synthesis process is finding effective solutions to the functional equation defined by K. This entails finding a (set of) boolean function(s) F (typically represented using OBDDs, Ordered Binary Decision Diagrams) such that: 1) for all x for which K is satisfiable, K(x, F(x)) = 1 holds; 2) the implementation of F is efficient with respect to given implementation parameters such as code size or execution time. While this problem has been widely studied in digital hardware synthesis, little has been done in a software synthesis context. Unfortunately the approaches developed for hardware synthesis cannot be directly used in a software context. This motivates investigation of effective methods to solve the above problem when F has to be implemented with software. In this paper we present an algorithm that, from an OBDD representation for K, generates a C code implementation for F that has the same size as the OBDD for F and a WCET (Worst Case Execution Time) linear in nr, being n = |x| the number of input arguments for functions in F and r the number of functions in F. |
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ThinkMind |
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978-1-61208-165-6 |
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Best Paper Award |
Approved |
yes |
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Call Number |
Sapienza @ mari @ icsea11 |
Serial |
14 |
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