% The Chicago Journal of Theoretical Computer Science, Volume 1999, Article 4 % Bibliography @Article{cj99-04-01, author = "M. Abadi and J. Feigenbaum and J. Kilian", title = "On hiding information from an oracle", journal = "Journal of Computer and System Sciences", year = "1989", volume = "39", pages = "21--30", } @InProceedings{cj99-04-02, author = "L. Adleman and M. Huang", title = "Recognizing primes in random polynomial time", booktitle = "Proceedings of the 19th ACM Symposium on Theory of Computing", publisher = "ACM Press", address = "New York", year = "1987", pages = "462--469", } @Article{cj99-04-03, author = "S. Ben{-D}avid and B. Chor and O. Goldreich and M. Luby", title = "On the theory of average case complexity", journal = "Journal of Computer and System Sciences", year = "1992", volume = "44", pages = "193--219", } @TechReport{cj99-04-04, author = "A. Borodin and A. Demers", title = "Some comments on functional self-reducibility and the {NP} hierarchy", year = "1976", number = "76-284", institution = "Department of Computer Science, Cornell University", } @Book{cj99-04-05, author = "J. L. Balc{\'a}zar and J. D{\'\i}az and J. Gabarr{\'o}", title = "Structural Complexity {II}", year = "1990", series = "EATCS Monographs on Theoretical Computer Science", publisher = "Springer-Verlag", address = "Berlin", } @Book{cj99-04-06, author = "J. L. Balc{\'a}zar and J. D{\'\i}az and J. Gabarr{\'o}", title = "Structural Complexity {I}", edition = "Second", year = "1995", series = "EATCS Monographs on Theoretical Computer Science", publisher = "Springer-Verlag", address = "Berlin", } @Article{cj99-04-07, author = "A. Blass and Y. Gurevich", title = "Randomized reductions of search problems", journal = "SIAM Journal of Computing", year = "1993", volume = "22", pages = "949--975", keyword = "random reduction, search problem", } @Article{cj99-04-08, author = "A. Blass and Y. Gurevich", title = "Matrix transformation is complete for the average case", journal = "SIAM Journal on Computing", year = "1995", volume = "24", number = "1", pages = "3--29", } @Article{cj99-04-09, author = "R. Boppana and J. Hastad and S. Zachos", title = "Does co-{NP} have short interactive proofs?", journal = "Information Processing Letters", year = "1987", volume = "25", pages = "27--32", } @Article{cj99-04-10, author = "M. Blum and S. Kannan", title = "Designing programs to check their work", journal = "Journal of the ACM", year = "1995", volume = "42", number = "1", pages = "269--291", } @Article{cj99-04-11, author = "L. Babai and S. Moran", title = "Arthur-Merlin games: a randomized proof system and a hierarchy of complexity classes", journal = "Journal of Computer and System Sciences", year = "1988", volume = "36", pages = "254--276", } @InCollection{cj99-04-12, author = "J. L. Balc{\'a}zar", title = "Self-reducibility structures and solutions of {NP} problems", booktitle = "Revista Matematica", year = "1989", volume = "2, No.~2/3", pages = "175--184", publisher = "Universidad Complutense de Madrid", address = "Madrid", } @Article{cj99-04-13, author = "R. Book", title = "Tally languages and complexity classes", journal = "Information and Control", year = "1974", volume = "26", pages = "186--193", } @Article{cj99-04-14, author = "J. L. Carter and M. N. Wegman", title = "Universal classes of hash functions", journal = "Journal of Computer and System Sciences", year = "1979", volume = "18", pages = "143--154", } @InCollection{cj99-04-15, author = "P. J. Cameron", title = "Permutation Groups", booktitle = "Handbook Of Combinatorics", chapter = "12", editor = "R. Graham and M. Gr{\"o}tschel and L. Lov{\'a}sz", year = "1995", pages = "611--645", publisher = "Elsevier", address = "Amsterdam", keyword = "permutation groups", } @Article{cj99-04-16, author = "Y. Gurevich", title = "Average case completeness", journal = "Journal of Computer and System Sciences", year = "1991", volume = "42", number = "3", pages = "346--398", } @Book{cj99-04-17, author = "C. M. Hoffmann", title = "Group-Theoretic Algorithms and Graph Isomorphism", year = "1982", series = "Lecture Notes in Computer Science", volume = "136", publisher = "Springer-Verlag", address = "Berlin", } @Book{cj99-04-18, author = "J. F. Humphreys", title = "A Course in Group Theory", year = "1996", publisher = "Oxford Science Publications", address = "Oxford", } @InProceedings{cj99-04-19, author = "R. Impagliazzo and L. A. Levin", title = "No better ways to generate hard {NP}-instances than picking uniformly at random", booktitle = "Proceedings of the 31st IEEE Symposium on the Foundations of Computer Science", year = "1990", pages = "812--821", publisher = "IEEE Computer Society Press", address = "Los Alamitos, CA", } @InProceedings{cj99-04-20, author = "M. Jerrum", title = "A compact representation for permutation groups", booktitle = "Proceedings of the 23rd IEEE Symposium on the Foundations of Computer Science", year = "1982", pages = "126--133", publisher = "IEEE Computer Society Press", address = "Los Alamitos, CA", } @Article{cj99-04-21, author = "K.-I. Ko and H. Friedman", title = "Computational complexity of real functions", journal = "Theoretical Computer Science", year = "1982", volume = "20", pages = "323--352", } @Book{cj99-04-22, author = "J. K{\"o}bler and U. Sch{\"o}ning and J. Tor{\'a}n", title = "The Graph Isomorphism Problem: Its Structural Complexity", year = "1993", publisher = "Birkh{\"a}user", address = "Boston", } @InProceedings{cj99-04-23, author = "C. Karg", title = "{LR($k$)} Testing is Average-Case Complete", booktitle = "Proceedings of the 12th Annual IEEE Conference on Computational Complexity", year = "1997", pages = "74--80", publisher = "IEEE Computer Society Press", address = "Los Alamitos, CA", } @InCollection{cj99-04-24, author = "A. Lozano and J. Tor{\'a}n", title = "On the Nonuniform Complexity of the Graph Isomorphism Problem", booktitle = "Complexity Theory, Current Research", editor = "K. Ambos-Spies and S. Homer and U. Sch{\"o}ning", year = "1993", pages = "1--45", publisher = "Cambridge University Press", address = "Cambridge", } @Article{cj99-04-25, author = "L. Levin", title = "Average case complete problems", journal = "SIAM Journal on Computing", year = "1986", volume = "15", pages = "285--286", } @Book{cj99-04-26, author = "C. Papadimitriou", title = "Computational Complexity", year = "1994", publisher = "Addison-Wesley", address = "Reading, MA", } @InProceedings{cj99-04-27, author = "C. Schnorr", title = "Optimal algorithms for self-transformable problems", booktitle = "Proceedings of the 3rd International Colloquium on Automata, Languages, and Programming", year = "1976", pages = "322--337", publisher = "Edinburgh University Press", address = "Edinburgh", } @Article{cj99-04-28, author = "U. Sch{\"o}ning", title = "Graph isomorphism is in the low hierarchy", journal = "Journal of Computer and System Sciences", year = "1988", volume = "37", pages = "312--323", } @InProceedings{cj99-04-29, author = "M. Sipser", title = "A complexity theoretic approach to randomness", booktitle = "Proceedings of the 15th ACM Symposium on Theory of Computing", year = "1983", pages = "330--335", publisher = "ACM Press", address = "New York", } @InProceedings{cj99-04-30, author = "W. Tompa and H. Woll", title = "Random self-reducibility and zero-knowledge interactive proofs of possession of information", booktitle = "Proceedings of the 28th IEEE Symposium on the Foundations of Computer Science", year = "1987", pages = "472--482", publisher = "IEEE Computer Society Press", address = "Los Alamitos, CA", } @Article{cj99-04-31, author = "L. Valiant and V. Vazirani", title = "{NP} is as easy as detecting unique solutions", journal = "Theoretical Computer Science", year = "1986", volume = "47", pages = "85--93", } @Article{cj99-04-32, author = "J. Wang and J. Belanger", title = "On the {NP}-Isomorphism Problem with Respect to Random Instances", journal = "Journal of Computer and System Sciences", year = "1995", volume = "50", pages = "151--164", } @InProceedings{cj99-04-33, author = "J. Wang", title = "Average-Case completeness of a word problem for groups", booktitle = "Proceedings of the 27th ACM Symposium on Theory of Computing", year = "1995", pages = "325--334", publisher = "ACM Press", address = "New York", } @InCollection{cj99-04-34, author = "J. Wang", title = "Average-Case computational complexity theory", booktitle = "Complexity Theory Retrospective 2", editor = "L. A. Hemaspaandra and A. L. Selman", year = "1997", pages = "295--328", publisher = "Springer-Verlag", address = "Berlin", } @InProceedings{cj99-04-35, author = "O. Watanabe", title = "Test Instance Generation for Promised {NP} Search Problems", booktitle = "Proceedings of the 9th Structure in Complexity Theory Conference", year = "1994", pages = "205--216", publisher = "IEEE Computer Society Press", address = "Los Alamitos, CA", keyword = "test instance generation, search problem, average case complexity", }