Verification of distributed programs using representative interleaving sequences

Summary We present a formal proof method for distributed programs. The semantics used to justify the proof method explicitly identifies equivalence classes of execution sequences which are equivalent up to permuting commutative operations. Each equivalence class is called an interleaving set or a run. The proof rules allow concluding the correctness of certain classes of properties for all execution sequences, even though such properties are demonstrated directly only for a subset of the sequences. The subset used must include a representative sequence from each interleaving set, and the proof rules, when applicable, guarantee that this is the case. By choosing a subset with appropriate sequences, simpler intermediate assertions can be used than in previous formal approaches. The method employs proof lattices, and is expressed using the temporal logic ISTL. Shmuel Katz received his B.A. in Mathematics and English Literature from U.C.L.A., and his M.Sc. and Ph.D. in Computer Science (1976) from the Weizmann Institute in Rechovot, Israel. From 1976 to 1981 he was at the IBM Israel Scientific Center. Presently, he is on the faculty of the Computer Science Department at the Technion in Haifa, Israel. In 1977–1978 he visited for a year at the University of California, Berkeley, and in 1984–1985 was at the University of Texas at Austin. He has been a consultant and visitor at the MCC Software Technology Program, and in 1988–1989 was a visiting scientist at the I.B.M. Watson Research Center. His research interests include the methodology of programming, specification methods, program verification and semantics, distributed programming, data structures, and programming languages. Doron Peled was born in 1962 in Haifa. He received his B.Sc. and M.Sc. in Computer Science from the Technion, Israel in 1984 and 1987, respectively. Between 1987 and 1991 he did his military service. He also completed his D.Sc. degree in the Technion during these years. Dr. Peled was with the Computer Science department at Warwick University in 1991–1992. He is currently a member of the technical staff with AT & T Bell Laboratories. His main research interests are specification and verification of programs, especially as related to partial order models, fault-tolerance and real-time. He is also interested in semantics and topology.This research was carried out while the second author was at the Department of Computer Science, The Technion, Haifa 32000, Israel     

Bounded time-stamps

Summary Time-stamps are labels which a system adds to its data items. These labels enable the system to keep track of the temporal precedence relations among its data elements. Many distributed protocols and some applications use the natural numbers as time-stamps. The natural numbers however are not useful for bounded protocols. In this paper we develop a theory ofbounded time-stamps. Time-stamp schemes are defined and the complexity of their implementation is analyzed. This indicates a direction for developing a general tool for converting time-stamp based protocols to bounded protocols. Amos Israeli received his B.Sc. in Mathematics and Physics from Hebrew University in 1976, and his M.Sc. and D.Sc. in Computer Science from the Weizmann Institute in 1980 and the Technion in 1985, respectively. Currently he is a senior lecturer at the Tlectrical Engineering Department at the Technion. Prior to this he was a postdoctoral fellow at the Aiken Computation Laboratory at Harvard. His research interests are in Parallel and Distributed Computing and in Robotics. In particular he has worked on the design and analysis of Wait-Free and Self-Stabilizing distributed protocols. Ming Li received his M.S. and Ph.D. in Computer Science from Wayne State University in 1980 and Cornell University 1985, respectively. Currently he is an associate professor at the Computer Science Department at the University of Waterloo. His research interests are in Theory of Computing, Kolmogorov Complexity, and Machine Learning.Supported in part by the Weizmann fellowship and NSF Grant DCR-86-00379Supported in part by ONR Grant N00014-85-k-0445 and Army Research Office Grant DAAL03-86-K-0171 at Harvard University, by NSF Grant kDCR-86-06366 at Ohio State University, and by NSERC Operating Grant OGP0036747. Most of this work was done when the authors were at Aiken Computation Laboratory at Harvard University. The authors also acknowledge the hospitality of the computer science department at York University, Canada     

Self-stabilization of dynamic systems assuming only read/write atomicity

Summary Three self-stabilizing protocols for distributed systems in the shared memory model are presented. The first protocol is a mutual-exclusion prootocol for tree structured systems. The second protocol is a spanning tree protocol for systems with any connected communication graph. The thrid protocol is obtianed by use offair protoco combination, a simple technique which enables the combination of two self-stabilizing dynamic protocols. The result protocol is a self-stabilizing, mutualexclusion protocol for dynamic systems with a general (connected) communication graph. The presented protocols improve upon previous protocols in two ways: First, it is assumed that the only atomic operations are either read or write to the shared memory. Second, our protocols work for any connected network and even for dynamic network, in which the topology of the network may change during the excution. Shlomi Dolev received his B.Sc. in Civil Engineering and B.A. in Computer Science in 1984 and 1985, and his M.Sc. and Ph.D. in computer Sciene in 1989 and 1992 from the Technion Israel Institute of Technology. He is currently a post-dotoral fellow in the Department of Computer Science at Texas A & M Univeristy. His current research interests include the theoretical aspects of distributed computing and communcation networks. Amos Israeli received his B.Sc. in Mathematics and Physics from Hebrew University in 1976, and his M.Sc. and D.Sc. in Computer Science from the Weizmann Institute in 1980 and the Technion in 1985, respectively. Currently he is a sensior lecturer at the Electrical Engineering Department at the Technion. Prior tot his he was a postdoctoral fellow at the Aiken Computation Laboratory at harvard. His research interests are in Parellel and Distributed Computing and in Robotics. In particular he has worked on the design and analysis of Wait-Free and Self-Stabilizing distributed protocols. Shlomo Moran received his B.Sc. and D.Sc. degrees in matheamtics from Technion, Israel Institute of Technology, Haifa, in 1975 and 1979, respectively. From 1979 to 1981 he was assistant professors and a visiting research specialist at the University of Minnesota, Minneapolis. From 1981 to 1985 he was a senior lecturer at the Department of Computer Science. Technion, and from 1985 to 1986 he visted at IBM Thoas J. Watson Research Center, Yorktown Heights. From 1986 to 1993 he was an associated professor at the Department of Computer Science, Technin. in 1992–3 he visited at AT & T Bell Labs at Murray Hill and at Centrum voor Wiskunde en Informatica, Amsterdam. From 1993 he is a full professor at the Department of Computer Science, Technion. His researchinterests include distributed algorithm, computational complexity, combinatorics and grapth theory.Part of this research was supported in part by Technion V.P.R. Funds — Wellner Research Fund, and by the Foundation for Research in Electronics, Computers and Communictions, administrated by the Israel Academy of Sciences and Humanities.     

Atomic snapshots using lattice agreement

Summary Thesnapshot object is an important tool for constructing wait-free asynchronous algorithms. We relate the snapshot object to thelattice agreement decision problem. It is shown that any algorithm for solving lattice agreement can be transformed into an implementation of a snapshot object. The overhead cost of this transformation is only a linear number of read and write operations on atomic single-writer multi-reader registers. The transformation uses an unbounded amount of shared memory. We present a deterministic algorithm for lattice agreement that usedO (log² n) operations on 2-processorTest & Set registers, plusO (n) operations on atomic single-writer multi-reader registers. The shared objects are used by the algorithm in adynamic mode, that is, the identity of the processors that access each of the shared objects is determined dynamically during the execution of the algorithm. By a randomized implementation of 2-processorsTest & Set registers from atomic registers, this algorithm implies a randomized algorthm for lattice agreement that uses an expected number ofO (n) operations on (dynamic) atomic single-writer multi-reader registers. Combined with our transformation this yields implementations of atomic snapshots with the same complexity.Cambridge Research Laboratory, Digital Equipment Corporation Hagit Attiya received the B.Sc. degreeiin Mathematics and Computer Science from the Hebrew University of Jerusalem, in 1981, the M.Sc. and Ph.D. degrees in Computer Science from the Hebrew University of Jerusalem, in 1983 and 1987, respectively. She is presently a senior lecturer at the departtment of Computer Science at the Technion, Israel Institute of Technology. Prior to this, she has been a post-doctoral research associate at the Laboratory for Computer Science at M.I.T. Her general research interests are distributed computation and theoretical computer science. More specific interests include fault-tolerance, timing-based and asynchronous algorithms. Maurice Herlihy received the A.B. degree in Mathematics from Harvard University, and the M.S. and the Ph.D. degrees in Computer Science from M.I.T. From 1984 to 1989 he was a faculty member in the Computer Science Department at Carnegie Mellon University in Pittsburgh, PA. In 1989 he joined the research staff at the Digital Equipment Corporation's Cambridge Research Laboratory in Cambridge MA. Since 1994, he has been on the faculty at the Computer Science Department at Brown University. Dr. Herlihy's research interests encompass practical and theoretical aspects of distributed and concurrent computation. Ophir achman received a B.A. in computer science from the Technion, Haifa, Israel in 1989 and M.Sc. in computer science from the Technion, Haifa, Israel, in 1992. He is now studying for a D.Sc. in computer science at the Technion. His currentarea of research is distributed computing, and in particular, asynchronous shared memory systems.This work appeared in preliminary form in proceedings ofthe 6th International Workshop on Distributed Algorithms [12]. This research was partially supported by grant No. 92-0233 from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Technion V.P.R. funds — B. and G. Greenberg Research Fund (Ottawa), and the fund for the promotion of research in the TechnionPart of the work of this author was performed while visiting DEC Cambridge Research Laboratory     

Some impossibility results in interprocess synchronization

Summary In this paper we construct a formal specification of the problem of synchronizing asynchronous processes under strong fairness. We prove that strong interaction fairness is impossible for binary (and hence for multiway) interactions and strong process fairness is impossible for multiway interactions. Yih-Kuen Tsay received his B.S. degree form National Taiwan University in 1984 and his M.S. degree from UCLA in 1989. He is currently a Ph.D. candidate in the UCLA Computer Science Department. His research interests include distributed algorithms, fault-tolerant systems, and specification and verification of concurrent programs. Rajive L. Bagrodia received the B. Tech. degree in Electrical Engineering from the Indian Institute of Technology, Bombay in 1981 and the M.A. and Ph.D. degrees in Computer Science from the University of Texas at Austin in 1983 and 1987 respectively. He is currently an Assistant Professor in the Computer Science Department at UCLA. His research interests include parallel languages, distributed algorithms, parallel simulation and software design methodologies. He was selected as a 1991 Presidential Young Investigator by NSF.This research was partially supported by NSF PYI Award number ASC9157610 and by ONR under grant N00014-91-J1605     

Efficient emulation of single-hop radio network with collision detection on multi-hop radio network with no collision detection

Summary This paper presents an efficient randomized emulation ofsingle-hop radio networkwith collision detection onmulti-hop radio networkwithout collision detection. Each step of the single-hop network is emulated by rounds of the multi-hop network and succeeds with probability 1–. (n is the number of processors,D the diameter and the maximum degree). It is shown how to emulate any polynomial algorithm such that the probability of failure remains . A consequence of the emulation is an efficient randomized algorithm for choosing a leader in a multi-hop network. Reuven Bar-Yehuda was born in Iran, on July 17th 1951. Received B.A., M.Sc., and D.Sc. in Computer Science from the Technion — Israel Institute of Technology, Haifa, Israel, in 1978, 1980, and 1983, respectively. He is currently a Senior Lecturer of Computer Science at the Technion. From 1984 to 1986, he was a visiting assistant professor in the Computer Science Dept. at the Duke Univesity His research interests include computational geometry, VLSI, graph algorithms and distributed algorithms. Oded Goldreich was born in Tel-Aviv, Israel, on February 4th 1957. Received B.A., M.Sc., and D.Sc. in Computer Science from the Technion — Israel Institute of Technology, Haifa, Israel, in 1980, 1982, and 1983, respectively. He is currently an Associate Professor of Computer Science at the Technion. From 1983 to 1986, he was a postdoctoral fellow at MIT's Laboratory for Computer Science. His research interests include cryptography and related areas, relation between randomness and algorithms, and distributed computation. Alon Itai was born in Scotland, on December 12th 1946. Received B.Sc. in Mathematics from the Hebrew University in Jerusalem in 1969. M.Sc., and Ph.D. in Computer Science from the Weizmann Institute of Science, Rehovot, Israel in 1971 and 1976. He is currently an Associate Professor of Computer Science at the Technion. His research interests include randomized and distributed algorithms, computational learning theory and performance evaluation.The second author was partially supported by grant No. 86-00301 from the United States—Israel Bi-national Science Foundation BSF), Jerusalem, Israel.     

Adaptive solutions to the mutual exclusion problem

Summary Algorithms for mutual exclusion that adapt to the current degree of contention are developed. Afilter and a leader election algorithm form the basic building blocks. The algorithms achieve system response times that are independent of the total number of processes and governed instead by the current degree of contention. The final algorithm achieves a constant amortized system response time. Manhoi Choy was born in 1967 in Hong Kong. He received his B.Sc. in Electrical and Electronic Engineerings from the University of Hong Kong in 1989, and his M.Sc. in Computer Science from the University of California at Santa Barbara in 1991. Currently, he is working on his Ph.D. in Computer Science at the University of California at Santa Barbara. His research interests are in the areas of parallel and distributed systems, and distributed algorithms. Ambuj K. Singh is an Assistant Professor in the Department of Computer Science at the University of California, Santa Barbara. He received a Ph.D. in Computer Science from the University of Texas at Austin in 1989, an M.S. in Computer Science from Iowa State University in 1984, and a B.Tech. from the Indian Institute of Technology at Kharagpur in 1982. His research interests are in the areas of adaptive resource allocation, concurrent program development, and distributed shared memory.A preliminary version of the paper appeared in the 12th Annual ACM Symposium on Principles of Distributed ComputingWork supported in part by NSF grants CCR-9008628 and CCR-9223094     

Self-stabilizing extensions for meassage-passing systems

Summary A self-stabilizing program eventually resumes normal behavior even if excution begins in, an abnormal initial state. In this paper, we explore the possibility of extending an arbitrary program into a self-stabilizing one. Our contributions are: (1) a formal definition of the concept of one program being aself-stabilizing extension of another; (2) a characterization of what properties may hold in such extensions; (3) a demonstration of the possibility of mechanically creating such extensions. The computtional model used is that of an asynchronous distributed message-passing system whose communication topology is an arbitrary graph. We contrast the difficulties of self-stabilization in thismodel with those of themore common shared-memory models. Shmuel Katz received his B.A. in Mathematics and Englisch Literature from U.C.L.A., and his M.Sc. and Ph.D. in Computer Science (1976) from the Weizmann Institute in Rechovot, Israel. From 1976 to 1981 he was a research at the IBM Israel Scientific Center. Presently, he is an Associate Professor in the Computer Science Department at the Technion in Haifa, Israel. In 1977–78 he visited for a year at the University of California, Berkeley, and in 1984–85 was at the University of Texas at Austin. He has been a consultant and vistor at the MCC Software Technology Program, and in 1988–89 was a visiting scientist at the IBM Watson Research Center. His research interests include the methodology of programming, specification methods, program verification and semantics, distributed programming, data structure, and programming languages. Kenneth J. Pery has performed research in the area of distributed computing since obtaining Masters and Doctorate degrees in Computer Science from Cornell Univesity. His current interest is in studying problems of a partical nature in a formal context. He was graduated from Princeton University in 1979 with a B.S.E. degree in Electrical Engineering and Computer Science.The Research of this author was partially supported by Research Grant 120-749 and the Argentinian Research Fund at the Technion     

Counting networks with arbitrary fan-out

Summary It is shown that an acyclic smoothing network (and hence counting network) with fan-outn cannot be constructed from balancers of fan-outb ₁,...,b _k , if there exists a prime factorp ofn, such thatp does not divideb _i , for alli, 1ik. This holds regardless of the depth, fan-in or size of the network, as long as they are finite. On the positive side, a simple construction ofcyclic counting networks with fan-outn, for arbitraryn, is presented. An acyclic counting network with fan-in and fan-outp2 ^k , for any integerk0, is constructed out of 2-balancers andp-balancers. Eran Aharonson received the B.A. and M.Sc. degrees in Computer Science from the Technion, Israel Institute of Technology (Haifa, Israel) in 1989 and 1992, respectively. He is currently vice president for research and development at ART-Advanced Recognition Technolgies Ltd., a company dedicated to handwriting and voice recognition. His general research interests are distributed computation, theoretical computer science and pattern recognition. Hagit Attiya received the B.Sc. degree in Mathematics and Computer Science from the Hebrew University of Jerusalem, in 1981, the M.Sc. and Ph.D. degrees in Computer Science from the Hebrew University of Jerusalem, in 1983 and 1987, respectively. She is presently a senior lecturer at the department of Computer Science at the Technion, Israel Institute of Technology. Prior to this, she has been a post-doctoral research associate at the Laboratory for Computer Science at M.I.T. Her general research interests are distributed computation and theoretical computer science. More specific interests include fault-tolerance, timing-based and asynchronous algorithms.A preliminary version of this paper appears in proceedings of the3rd Annual ACM-SIAM Symposium on Discrete Algorithms, January 1992, pp. 104–113. This research was supported by Technion V.P.R.-B. and G. Greenberg Research Fund (Ottawa)Supported by Rashi Enterprise graduate fellowship     

Using mappings to prove timing properties

Summary A new technique for proving timing properties for timing-based algorithms is described; it is an extension of the mapping techniques previously used in proofs of safety properties for asynchronous concurrent systems. The key to the method is a way of representing a system with timing constraints as an automaton whose state includes predictive timing information. Timing assumptions and timing requirements for the system are both represented in this way. A multi-valued mapping from the assumptions automaton to the requirements automaton is then used to show that the given system satisfies the requirements. One type of mapping is based on a collection of progress functions providing measures of progress toward timing goals. The technique is illustrated with two examples, a simple resource manager and a two-process race system. Nancy A. Lynch received the B.S. degree in mathematics from Brooklyn College, Brooklyn, NY, in 1968, and the Ph.D. degree in mathematics from the Massachusetts Institute of Technology, Cambridge, MA, in 1972. She is presently a professor of computer science and electrical engineering at Massachusetts Institute of Technology. She has also been on the computer science faculty at Georgia Institute of Technology and on the mathematics faculty at Tufts University and the University of Southern California. Her research interests are in distributed and real-time computing and theoretical computer science. In particular, she has worked on formal models and verification methods, on algorithm design and analysis, and on impossibility results. She also likes to hike and ski. Hagit Attiya received the B.Sc. degree in Mathematics and Computer Science from the Hebrew University of Jerusalem, in 1981, the M.Sc. and Ph.D. degrees in Computer Science from the Hebrew University of Jerusalem, in 1983 and 1987, respectively. She is presently a senior lecturer at the department of Computer Science at the Technion, Israel Institute of Technology. Prior to this, she has been a post-doctoral research associate at the Laboratory for Computer Science at M.I.T. Her general research interests are distributed computation and theoretical computer science. More specific interests include fault-tolerance, timing-based and asynchronous algorithms.This work was supported by ONR contracts N00014-85-K-0168 and N00014-91-J-1046, by NSF grants CCR-8611442 and CCR-8915206, and by DARPA contracts N00014-87-K-0825 and N00014-89-J-1988     

Appraising fairness in languages for distributed programming

The relations among various languages and models for distributed computation and various possible definitions of fairness are considered. Natural semantic criteria are presented which an acceptable notion of fairness should satisfy. These are then used to demonstrate differences among the basic models, the added power of the fairness notion, and the sensitivity of the fairness notion to irrelevant semantic interleavings of independent operations. These results are used to show that from the considerable variety of commonly used possibilities, only strong process fairness is appropriate forCSP if these criteria are adopted. We also show that under these criteria, none of the commonly used notions of fairness are fully aceptable for a model with an n-way synchronization mechanism. The notion of fairness most often mentioned for Ada is shown to be fully acceptable. For a model with nonblockingsend operations, some variants of common fairness definitions are appraised, and two are shown to satisfy the suggested criteria. Krzysztof R. Apt was born in 1949 in Poland. Received his Ph.D. in 1974 from Polish Academy of Sciences in Warsaw in mathematical logic. From 1974 until 1981 worked at various scientific institutions in the Netherlands and from 1981 until 1987 at C.N.R.S. in Paris, France. Spent 1985 as a visiting scientist at IBM Research Centre in Yorktown Heights, U.S.A. Currently holding an Endowed Professorship at the Department of Computer Sciences at the University of Texas at Austin; also a senior research scientist at the Centre for Mathematics and Computer Science in Amsterdam, the Netherlands. His research interests include program correctness and semantics, methodology of distributed computing, use of logic as a programming language and non-standard forms of reasoning. He has served on editorial boards of a number of journals and program committees of numerous conferences in computer science. Lectured in a dozen countries on four continents. Also, he has run two marathons and crossed Sumatra on a bicycle. Shmuel Katz received his B.A. in Mathematics and English Literature from U.C.L.A., and his M.Sc. and Ph.D. in Computer Science (1976) from the Weizmann Institute in Rehovot, Israel. From 1976 to 1981 he was a researcher at the IBM Israel Scientific Center. Presently, he is a Senior Lecturer in the Computer Science Department at the Technion in Haifa, Israel. In 1977–78, he visited for a year at the University of California, Berkeley, and in 1984–85 was at the University of Texas at Austin. He has also been a consultant for the MCC Software Technology Program. His research interests include the methodology of programming, specification methods, program verification and semantics, distributed programming, data structures, and programming languages. Nissim Francez received his B.A. in Mathematics and Philosophy from the Hebrew University in Jerusalem, and his M.Sc. and Ph.D. in computer science (1976) from the Weizmann Institute of Science, Rehovot, Israel. In 1976–77 he spent a postdoctoral year at Queen's university, Belfast, where he was introduced by C.A.R. Hoare to CSP. In 1977–78 he was an assistant professor at USC, Los Angeles. From 1978 he is with the Computer Science Department at the Technion. In 1982–83 he was on a sabbatical leave at IBM T.J. Watson Research Center. He has been a consultant for MCC's software technology program, working on multiparty activities in distributed systems. He had summer appointments in Harvard University, IBM T.J. Watson Research Center, Utrecht University, CWI (Amsterdam) and at MCC. He also served in several program committees. His research interests include program verification and the semantics of programming languages, mainly for concurrent and distributed programming. Is also interested in logic programming and recursive query evaluation and in compiler constration. He is the author of the first book onFairness. Unfortunately, he is incapable of Marathon running...     

Naming symmetric processes using shared variables

Summary Implementations of inter-process communication and synchronization in distributed systems usually rely on the existence of unique ids for the processes. We consider the problem of generating such ids for identical processes in a shared-variable system. A randomized protocol that assigns distinct ids to the processes within an expected polynomial number of rounds using a polynomial number of boolean atomic variables is presented. Ömer Eeciolu obtained his Ph.D. degree in mathematics from the University of California, San Diego in 1984. At present he is an Associate Professor in the Computer Science department of the University of California, Santa Barbara, where he has been on the faculty since 1985. His principal areas of research are parallel algorithms, bijective and enumerative combinatorics, and combinatorial algorithms. His current interest in parallel algorithms involve approximation and numerical techniques on distributed memory systems while his combinatorial interests center around computational geometry, bijective methods, and ranking algorithms for combinatorial structures. Ambuj K. Singh is an Assistant Professor in the Department of Computer Science at the University of California, Santa Barbara. He received a Ph.D. in Computer Science from the University of Texas at Austin in 1989, an M.S. in Computer Science from Iowa State University in 1984, and a B. Tech. from the Indian Institute of Technology at Kharagpur in 1982. His research interests are in the areas of adaptive resource allocation, concurrent program development, and distributed shared memory.Work supported in part by NSF grants CCR-9008628 and CCR-9223094     

Consensus algorithms with one-bit messages

Three main parameters characterize the efficiency of algorithms that solve the Consensus Problem: the ratio between the total number of processors and the maximum number of faulty processors (n andt, respectively), the number of rounds, and the upper bound on the size of any message. In this paper we present a trade-off between the number of faulty processors and the number of rounds by exhibiting a family of algorithms in which processors communicate by one-bit messages. Letk be a positive integer and lets=t ^1/k . The family includes algorithms where the number of processors is less than , and the number of rounds is less than . This family is based on a very simple algorithm with the following complexity: (2t+1)(t+1) processors,t+1 rounds, and one-bit message size. Amotz Bar-Noy received the B.A. degree in mathematics and computer science in 1981, and the Ph.D. degree in computer science in 1987, both from the Hebrew University of Jerusalem, Israel. He was a post-doctoral fellow at Stanford University, California, from October 1987 to September 1989. Since October 1989 he has been a visiting scientist at IBM T.J. Watson Research Center, Yorktown Heights, New York. His research interests include communication networks, distributed algorithms, parallel algorithms and fault-tolerant computing. Danny Dolev received a B.Sc. in physics from the Hebrew University, Jerusalem, in 1971, an M.Sc. in applied mathematics from the Weizmann Institute of Science, Israel, in 1973, and Ph.D. in computer science in 1979. After two years as a post doctoral fellow at Stanford and a year as a visiting scientist at IBM, he joined the Hebrew University, Jerusalem, in 1982, and IBM Almaden Research Center at 1987. His major research interests are distributed computing, reliability of distributed systems, and algorithms.A preliminary version of this paper appeared in the Aegean Workshop on Computing (AWOC), pp 380–390, 1988. This work was carried out while Dr. Bar-Noy was visiting Stanford University. Supported in part by a Weizmann fellowship, by contract ONR N00014-88-K-0166, and by a grant of Stanford's Center for Integrated Systems     

Distributed deadlock detection

We describe a simple and efficient algorithm to detect deadlocks in distributed systems. In our model, processes requestN resources from a pool of sizeM. This is a generalization of the well-knownAND-OR request model. The algorithm is incrementally derived and proven correct. Its communication, computational, and space requirements are lower than those of the best previously known algorithms for the simplerAND-OR model.Gabriel Bracha received his B.Sc. Degree in Mathematics (Computer Science option) from Tel-Aviv University, Israel, in 1980, and his Ph.D. degree in Computer Science from Cornell University, Ithaca, NY, in 1985.In 1985, he joined Daisy System, in Tel-Aviv, Israel, where he is currently a Senior Researcher His current research interests include computational geometry, distributed computing, and fault-tolerance.Partial support for this work was provided by the National Science Foundation under grant MCS 83-03135For photograph and biography see Distributed Computing (1987) 2:80–94     

Atomicm-register operations

Summary We investigate systems where it is possible to access several shared registers in one atomic step. We characterize those systems in which the consensus problem can be solved in the presence of faults and give bounds on the space required. We also describe a fast solution to the mutual exclusion problem using atomicm-register operations. Michael Merritt received a B.S. degree in Philosophy and in Computer Science from Yale College in 1978, the M.S. and Ph. D. degrees in Information and Computer Science in 1980 and 1983, respectively, from the Georgia Institute of Technology. Since 1983 he has been a member of technical staff at AT&T Bell Laboratories, and has taught as an adjunct or visiting lecturer at Stevens Institute of Technology and Columbia University. In 1989 he was program chair for the ACM Symposium on Principles of Distributed Computing. His research interests include distributed and concurrent computation, both algorithms and formal methods for verifying their correctness, cryptography, and security. He is an editor for Distributed Computing and for Information and Computation, recently coauthored a book on database concurrency control algorithms, and is a member of the ACM and of Computer Professionals for Social Responsibility. Gadi Taubenfeld received the B.A., M.Sc. and Ph.D. degrees in Computer Science from the Technion (Israel Institute of Technology), in 1982, 1984 and 1988, respectively. From 1988 to 1990 he was a research scientist at Yale University. Since 1991 he has been a member of technical staff at AT&T Bell Laboratories. His primary research interests are in concurrent and distributed computing.A preliminary version of this workappeared in theProceedings of the Fifth International Workshop on Distributed Algorithms, Delphi, Greece, October 1991, pp 289–294     

Relationships between broadcast and shared memory in reliable anonymous distributed systems

We study the power of reliable anonymous distributed systems, where processes do not fail, do not have identifiers, and run identical programmes. We are interested specifically in the relative powers of systems with different communication mechanisms: anonymous broadcast, read-write registers, or read-write registers plus additional shared-memory objects. We show that a system with anonymous broadcast can simulate a system of shared-memory objects if and only if the objects satisfy a property we call idemdicence this result holds regardless of whether either system is synchronous or asynchronous. Conversely, the key to simulating anonymous broadcast in anonymous shared memory is the ability to count: broadcast can be simulated by an asynchronous shared-memory system that uses only counters, but read-write registers by themselves are not enough. We further examine the relative power of different types and sizes of bounded counters and conclude with a non-robustness result. James Aspnes is a Professor of Computer Science at Yale University. He received his Ph.D. from Carnegie-Mellon University in 1992. Faith Ellen Fich is a Professor of Computer Science at the University of Toronto. She received her Ph.D. from the University of California, Berkeley in 1982. Eric Ruppert was educated at the University of Toronto, where he completed his doctorate in 1999. He spent a year as a postdoctoral fellow at Brown University and is an Associate Professor at York University.     

Greedy hot-potato routing on the two-dimensional mesh

Summary We propose hot-potato (or, deflection) packet routing algorithms on the two-dimensional mesh. The algorithms are strongly greedy in the sense that they attempt to send packets in good directions whenever possible. Furthermore, the routing operations are simple and independent of the time that has elapsed. The first algorithm gives the best evacuation time known for delivering all the packets to their destinations. A batch ofk packets with maximal source-to-destination distanced _max is delivered in 2(k-1)+d _max. The second algorithm improves this bound tok+d _max when all packets are destined to the same node. This also implies a new bound for the multitarget case, which is the first to take into account the number of in-edges of a node. The third algorithm is designed for routing permutations with source-to-destination distance at most three, in which case the algorithm terminates in at most seven steps. We also show a lower bound of five steps for this problem. Ishai Ben-Aroya received the B.A. and M.Sc. in computer science from the Technion (Israel Institute of Technology). He is currently working with Microsoft Israel R&D group. His main interests include Routing Algorithms, Cryptography and Computer Security. Tamar Eilam received the B.A. degree in Computer Science from the Technion IIL in 1995, and is currently studying towards her M.A. degree. Assaf Schuster received his B.A., M.A. and Ph.D. degrees in Computer Science from the Hebrew University of Jerusalem (the last one in 1991). He is currently a lecturer at the Technion IIL. His main interests include Networks and Routing Algorithms, Parallel and Distributed Computation, Optical Computation and Communication, Dynamically Reconfiguring Networks, and Greedy Hot Potato Routing.This work was supported in part by the French-Israeli grant for cooperation in Computer Science, and by a grant from the Israeli Ministry of Science. An extended abstract appeared in proc. 2nd European Symposium on Algorithms, September 1994     

Self-stabilization over unreliable communication media

Summary A self-stabilizing system has the property that it will converge to a desirable state when started from any state. Most previous researchers assumed that processes in self-stabilizing systems may communicate through shared variables while those that studied meassage passing systems allowed messages with unbounded size. This paper discusses the development of self-stabilizing systems which communicate through message passing, and in which messages may be lost in transit. The systems presented all use fixed size message headers. First, a selfstabilizing version of theAlternating Bit Protocol, a fundamental communication protocol for transmitting data across an unreliable communication medium, is presented. Secondly, the alternating-bit protocol is used to construct a self-stabilizing token ring. Yehuda Afek received a B.Sc. in Electrical Engineering from the Technion and an M.S. and Ph.D. in Computer Science from the University of California, Los Angeles. In 1985 he joined the Distributed Systems research Department in AT&T Bell Laboratories and in 1988 he joined the Department of Computer Science in Tel-Aviv University. His interests include communication protocols, distributed systems, and asynchronous shared memories. Geoffrey M. Brown received the BS degree in Engineering from Swarthmore College in 1982, the MS degree in Electrical Engineering from Stanford University in 1983, and the Ph.D. degree in Electrical Engineering from the University of Texas at Austin in 1987. From 1983 to 1984 he worked for Motorola in Austin, TX. Currently he is an Assistant Professor in the School of Electrical Engineering at Cornell University. In 1990, Brown was named a Presidential Young Investigator by the National Science Foundation.This work supported in part by NSF grant CCR-9058180     

Efficient algorithms for optimistic crash recovery

Summary Recovery from transient processor failures can be achieved by using optimistic message logging and checkpointing. The faulty processorsroll back, and some/all of the non-faulty processors also may have to roll back. This paper formulates the rollback problem as a closure problem. A centralized closure algorithm is presented together with two efficient distributed implementations. Several related problems are also considered and distributed algorithms are presented for solving them. S. Venkatesan received the B. Tech. and M. Tech degrees from the Indian Institute of Technology, Madras in 1981 and 1983, respectively and the M.S. and Ph.D. degrees in Computer Science from the University of Pittsburgh in 1985 and 1988. He joined the University of Texas at Dallas in January 1989, where he is currently an Assistant Professor of Computer Science. His research interests are in fault-tolerant distributed systems, distributed algorithms, testing and debugging distributed programs, fault-tolerant telecommunication networks, and mobile computing. Tony Tony-Ying Juang is an Associate Professor of Computer Science at the Chung-Hwa Polytechnic Institute. He received the B.S. degree in Naval Architecture from the National Taiwan University in 1983 and his M.S. and Ph.D. degrees in Computer Science from the University of Texas at Dallas in 1989 and 1992, respectively. His research interests include distributed algorithms, fault-tolerant distributed computing, distributed operating systems and computer communications.This research was supported in part by NSF under Grant No. CCR-9110177 and by the Texas Advanced Technology Program under Grant No. 9741-036     

Curve Matching,Time Warping,and Light Fields: New Algorithms for Computing Similarity between Curves

The problem of curve matching appears in many application domains, like time series analysis, shape matching, speech recognition, and signature verification, among others. Curve matching has been studied extensively by computational geometers, and many measures of similarity have been examined, among them being the Fréchet distance (sometimes referred in folklore as the “dog-man” distance). A measure that is very closely related to the Fréchet distance but has never been studied in a geometric context is the Dynamic Time Warping measure (DTW), first used in the context of speech recognition. This measure is ubiquitous across different domains, a surprising fact because notions of similarity usually vary significantly depending on the application. However, this measure suffers from some drawbacks, most importantly the fact that it is defined between sequences of points rather than curves. Thus, the way in which a curve is sampled to yield such a sequence can dramatically affect the quality of the result. Some attempts have been made to generalize the DTW to continuous domains, but the resulting algorithms have exponential complexity. In this paper we propose similarity measures that attempt to capture the “spirit” of dynamic time warping while being defined over continuous domains, and present efficient algorithms for computing them. Our formulation leads to a very interesting connection with finding short paths in a combinatorial manifold defined on the input chains, and in a deeper sense relates to the way light travels in a medium of variable refractivity. Alon Efrat earned his Bachelor in Applied Mathematics from the Technion, Israel’s Institute of Technology in 1991, earned his Master in Computer Science from the Technion in 1993, and his Ph.D. in Computer Science from Tel-Aviv University in 1998. During the years 1998–2000 he was a Post Doctorate Research Assistant at the Computer Science Department at Stanford University, and at IBM Almaden Research Center. Since 2000, he is an assistant Professor at the Computer Science Department at the University of Arizona. His main research areas are Computational Geometry, and its applications. Quanfu Fan is a Ph.D. student in the department of Computer Science at the University of Arizona. His research interests include object recognition and image understanding, information retrieval, and geometric algorithms.