Limited nondeterminism

Yes, the lucky 13th column is here, and it is a guest column written by J. Goldsmith, M. Levy, and M. Mundhenk on the topic of limited nondeterminism---classes and hierarchies derived when nondeterminism itself is viewed as a quantifiable resource (as it indeed is!).Coming up in the Complexity Theory Column in the very special 100th issue of SIGACT News: A forum on the future of complexity theory. Many of the field's leading lights share their exciting insights on what lies ahead, so please be there in three!

[1]  Laura A. Sanchis Constructing Language Instances Based on Partial Information , 1994, Int. J. Found. Comput. Sci..

[2]  Lane A. Hemaspaandra,et al.  Defying Upward and Downward Separation , 1993, Inf. Comput..

[3]  Vikraman Arvind,et al.  On Bounded Truth-Table, Conjunctive, and Randomized Reductions to Sparse Sets , 1992, FSTTCS.

[4]  Stephen A. Bloch,et al.  How Hard Are n 2-Hard Problems ? , 1994 .

[5]  Mihalis Yannakakis,et al.  On limited nondeterminism and the complexity of the V-C dimension , 1993, [1993] Proceedings of the Eigth Annual Structure in Complexity Theory Conference.

[6]  Ronald V. Book,et al.  Tally Languages and Complexity Classes , 1974, Inf. Control..

[7]  Moni Naor,et al.  Decision trees and downward closures , 1988, [1988] Proceedings. Structure in Complexity Theory Third Annual Conference.

[8]  R. Downey,et al.  Parameterized Computational Feasibility , 1995 .

[9]  Jonathan Goldstine,et al.  On the Relation between Ambiguity and Nondeterminism in Finite Automata , 1992, Inf. Comput..

[10]  Jacobo Torán,et al.  Complexity Classes with Complete Problems Between P and NP-C , 1989, FCT.

[11]  Richard Beigel,et al.  Downward separation fails catastrophically for limited nondeterminism classes , 1994, Computational Complexity Conference.

[12]  Detlef Wotschke,et al.  Amounts of nondeterminism in finite automata , 1980, Acta Informatica.

[13]  Imre Simon The Nondeterministic Complexity of a Finite Automaton , 1987 .

[14]  Robert Szelepcs enyi \beta_k-Complete Problems and Greediness , 1993 .

[15]  Vaughan R. Pratt,et al.  Every Prime has a Succinct Certificate , 1975, SIAM J. Comput..

[16]  Jonathan Goldstine,et al.  On Measuring Nondeterminism in Regular Languages , 1990, Inf. Comput..

[17]  Liming Cai,et al.  On Fixed-Parameter Tractability and Approximability of NP Optimization Problems , 1997, J. Comput. Syst. Sci..

[18]  Mihalis Yannakakis,et al.  Optimization, approximation, and complexity classes , 1991, STOC '88.

[19]  Michael R. Fellows,et al.  Fixed-parameter intractability , 1992, [1992] Proceedings of the Seventh Annual Structure in Complexity Theory Conference.

[20]  Hing Leung On finite automata with limited nondeterminism , 1998, Acta Informatica.

[21]  J. Hartmanis,et al.  On the Computational Complexity of Algorithms , 1965 .

[22]  Ker-I Ko,et al.  On Helping by Robust Oracle Machines , 1987, Theor. Comput. Sci..

[23]  A. R. Meyer,et al.  Economy of Description by Automata, Grammars, and Formal Systems , 1971, SWAT.

[24]  Stephen A. Bloch,et al.  Sharply Bounded Alternation within P , 1996, DMTCS.

[25]  Patrick C. Fischer,et al.  Computations with a restricted number of nondeterministic steps (Extended Abstract) , 1977, STOC '77.

[26]  Marty J. Wolf Nondeterministic Circuits, Space Complexity and Quasigroups , 1994, Theor. Comput. Sci..

[27]  Liming Cai,et al.  On the Structure of Parameterized Problems in NP , 1995, Inf. Comput..

[28]  Stephen A. Bloch,et al.  How hard are n2-hard problems? , 1994, SIGA.

[29]  Dirk Vermeir,et al.  On the amount of non-determinism in pushdown in pushdown automata , 1981, Fundam. Informaticae.

[30]  Ildar R. Nasyrov The Degrees of Nondeterminism in Pushdown Automata , 1987, FCT.

[31]  Judy Goldsmith,et al.  Nondeterminism Within P , 1993, SIAM J. Comput..

[32]  Liming Cai,et al.  On the Amount of Nondeterminism and the Power of Verifying , 1997, SIAM J. Comput..