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117
Fast LTL to Büchi Automata Translation
, 2001
"... We present an algorithm to generate Büchi automata from LTL formulae. This algorithm generates a very weak alternating coBüchi automaton and then transforms it into a Büchi automaton, using a generalized B"uchi automaton as an intermediate step. Each automaton is simplified onthefly in ..."
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Cited by 158 (3 self)
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We present an algorithm to generate Büchi automata from LTL formulae. This algorithm generates a very weak alternating coBüchi automaton and then transforms it into a Büchi automaton, using a generalized B&quot;uchi automaton as an intermediate step. Each automaton is simplified onthefly in order to save memory and time. As usual we simplify the LTL formula before any treatment. We implemented this algorithm and compared it with Spin: the experiments show that our algorithm is much more efficient than Spin. The criteria of comparison are the size of the resulting automaton, the time of the computation and the memory used. Our implementation is available on the web at the following address: http://verif.liafa.jussieu.fr/ltl2ba
The Maude 2.0 system
 Rewriting Techniques and Applications, Proceedings of the 14th International Conference
, 2003
"... Abstract. This paper gives an overviewof the Maude 2.0 system. We emphasize the full generality with which rewriting logic and membership equational logic are supported, operational semantics issues, the new builtin modules, the more general Full Maude module algebra, the new METALEVEL module, the ..."
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Cited by 104 (17 self)
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Abstract. This paper gives an overviewof the Maude 2.0 system. We emphasize the full generality with which rewriting logic and membership equational logic are supported, operational semantics issues, the new builtin modules, the more general Full Maude module algebra, the new METALEVEL module, the LTL model checker, and newimplementation techniques yielding substantial performance improvements in rewriting modulo. We also comment on Maude’s formal tool environment and on applications. 1
Directed explicitstate model checking in the validation of communication protocols
 International Journal on Software Tools for Technology (STTT
, 2004
"... The success of model checking is largely based on its ability toeciently locate errors in software designs. If an error is found, a model checker produces a trail that shows how the error state can be reached, which greatly facilitates debugging. However, while current modelcheckers nd error states ..."
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Cited by 84 (27 self)
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The success of model checking is largely based on its ability toeciently locate errors in software designs. If an error is found, a model checker produces a trail that shows how the error state can be reached, which greatly facilitates debugging. However, while current modelcheckers nd error states e ciently, the counterexamples are often unnecessarily lengthy, which hampers error explanation. This is due to the use of \naive &quot; search algorithms in the state space exploration. In this paper we present approaches to the use of heuristic search algorithms in explicitstate model checking. We present the class of A* directed search algorithms and propose heuristics together with bitstate compression techniques for the search ofsafetyproperty violations. We achieve great reductions in the length of the error trails, and in some instances render problems analyzable by exploring a much smaller number of states than standard depth rst search. We then suggest an improvement of the nested depth rst search algorithm and show how it can be used together with A * to improve the search for liveness property violations. Our approach to directed explicitstate model checking has been implemented in a tool set called HSFSPIN. We provide experimental results from the protocol validation domain using HSFSPIN.
The Maude LTL Model Checker
, 2002
"... The Maude LTL model checker supports onthey explicitstate model checking of concurrent systems expressed as rewrite theories with performance comparable to that of current tools of that kind, such as SPIN. This greatly expands the range of applications amenable to model checking analysis. Besides ..."
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Cited by 69 (16 self)
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The Maude LTL model checker supports onthey explicitstate model checking of concurrent systems expressed as rewrite theories with performance comparable to that of current tools of that kind, such as SPIN. This greatly expands the range of applications amenable to model checking analysis. Besides traditional areas well supported by current tools, such as hardware and communication protocols, many new applications in areas such as rewriting logic models of cell biology, or nextgeneration reective distributed systems can be easily speci ed and model checked with our tool.
Optimizing Büchi automata
, 2000
"... We describe a family of optimizations implemented in a translation from a linear temporal logic to Büchi automata. Such optimized automata can enhance the efficiency of explicit state model checking, as practiced in tools such as SPIN. Some of our optimizations are applicable to... ..."
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Cited by 69 (3 self)
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We describe a family of optimizations implemented in a translation from a linear temporal logic to Büchi automata. Such optimized automata can enhance the efficiency of explicit state model checking, as practiced in tools such as SPIN. Some of our optimizations are applicable to...
Directed Explicit Model Checking with HSFSPIN
 IN PROCEEDINGS OF THE 8TH INTERNATIONAL SPIN WORKSHOP ON MODEL CHECKING OF SOFTWARE
, 2001
"... We present the explicit state model checker HSFSPIN which ..."
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Cited by 61 (1 self)
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We present the explicit state model checker HSFSPIN which
Program repair as a game
 In 17th Conference on Computer Aided Verification (CAV’05
, 2005
"... Abstract. We present a conservative method to automatically fix faults in a finite state program by considering the repair problem as a game. The game consists of the product of a modified version of the program and an automaton representing the LTL specification. Every winning finite state strategy ..."
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Cited by 59 (7 self)
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Abstract. We present a conservative method to automatically fix faults in a finite state program by considering the repair problem as a game. The game consists of the product of a modified version of the program and an automaton representing the LTL specification. Every winning finite state strategy for the game corresponds to a repair. The opposite does not hold, but we show conditions under which the existence of a winning strategy is guaranteed. A finite state strategy corresponds to a repair that adds variables to the program, which we argue is undesirable. To avoid extra state, we need a memoryless strategy. We show that the problem of finding a memoryless strategy is NPcomplete and present a heuristic. We have implemented the approach symbolically and present initial evidence of its usefulness. 1
Optimizations for LTL synthesis
 IN 6TH CONFERENCE ON FORMAL METHODS IN COMPUTER AIDED DESIGN (FMCAD’06
, 2006
"... We present an approach to automatic synthesis of specifications given in Linear Time Logic. The approach is based on a translation through universal coBüchi tree automata and alternating weak tree automata [1]. By careful optimization of all intermediate automata, we achieve a major improvement i ..."
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Cited by 55 (10 self)
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We present an approach to automatic synthesis of specifications given in Linear Time Logic. The approach is based on a translation through universal coBüchi tree automata and alternating weak tree automata [1]. By careful optimization of all intermediate automata, we achieve a major improvement in performance. We present several optimization techniques for alternating tree automata, including a gamebased approximation to language emptiness and a simulationbased optimization. Furthermore, we use an incremental algorithm to compute the emptiness of nondeterministic Büchi tree automata. All our optimizations are computed in time polynomial in the size of the automaton on which they are computed. We have applied our implementation to several examples and show a significant improvement over the straightforward implementation. Although our examples are still small, this work constitutes the first implementation of a synthesis algorithm for full LTL. We believe that the optimizations discussed here form an important step towards making LTL synthesis practical.
Distributed Explicit Fair Cycle Detection (Set Based Approach)
"... The fair cycle detectiou problem is at the heart of both LTL and fair CTL model checking. This paper preseuts a new distributed scalable algorithm for explicit fair cycle detection. Our method combines the simplicity of the distributiou of explicitly preseuted data structure and the features of ..."
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Cited by 46 (12 self)
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The fair cycle detectiou problem is at the heart of both LTL and fair CTL model checking. This paper preseuts a new distributed scalable algorithm for explicit fair cycle detection. Our method combines the simplicity of the distributiou of explicitly preseuted data structure and the features of symbolic algorithm allowing for an efficient parallelisa tion. If a fair cycle (i.e. couuterexample) is detected, theu the algorithm produces a cycle, which is in general shorter than that produced by depthfirst search based algorithms, Experimental results confirm that our approach outperforms that based ou a direct implementation of the best sequential algorithm.
Heuristic Search
, 2011
"... Heuristic search is used to efficiently solve the singlenode shortest path problem in weighted graphs. In practice, however, one is not only interested in finding a short path, but an optimal path, according to a certain cost notion. We propose an algebraic formalism that captures many cost notions ..."
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Cited by 46 (22 self)
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Heuristic search is used to efficiently solve the singlenode shortest path problem in weighted graphs. In practice, however, one is not only interested in finding a short path, but an optimal path, according to a certain cost notion. We propose an algebraic formalism that captures many cost notions, like typical Quality of Service attributes. We thus generalize A*, the popular heuristic search algorithm, for solving optimalpath problem. The paper provides an answer to a fundamental question for AI search, namely to which general notion of cost, heuristic search algorithms can be applied. We proof correctness of the algorithms and provide experimental results that validate the feasibility of the approach.