Tech Report #

Name of Report

Author(s)

 

83-001

A Relativized Failure of the Berman-Hartmanis conjecture.

Stuart A. Kurtz

 

84-002

A Simple Proof of the Lucas-Lehmer Primality Test

Jeffrey Shallit

 

84-003

An Application of the Lenstra-Lenstra-Lovasz Algorithm to the Solution of a Diophantine Equation

Jeffrey Shallit

 

84-006

An Exposition of Pollard's Algorithm for Quadratic Congruences

Jeffrey Shallit

 

84-008

A Class of Functions Equvalent to Factoring

Eric Bach and Jeffery Shallit

 

85-001

Random Polynomial Time Algorithms for Sums of Squares

Jeffrey Shallit

 

85-002

Factorization of Polynomials by Transcendental Evaluation

Marc-Paul van der Hulst and Arjen K. Lenstra

 

84-001

The Computational Complexity of Some Group-Theoretic Problems

Joan Boyar

 

85-005

On Machine Inductive Inference of Approximations

James S. Royer

 

85-003

Updating Distances in Dynamic Graphs

Shimon Even and Hillel Gazit

 

85-004

On the Complexity of Some Word Problems Which Arise in Testing the Security of Protocols

Shimon Even

 

85-006

How to Prove Representaion-Independent Independence Results

Stuart A. Kurtz, O'Donnell, Royer

 

86-007

On The Length of Subgroup Chains in The Symmetric Group

Laszlo Babai

 

85-008

A Fast and Simple Randomized Parallel Algorithm for the Maximal Independent Set Problem

Noga Alon. Laszlo Babai, and Alon Itai

 

85-009

Computing Ears and Branchings in Parallel

Laszlo Babai

 

85-010

A More Efficient Algorithm For Lattice Basis Reduction

C.P. Schnorr

 

85-011

A Las-Vegas-Nc Algorithm for Finding Pointwise Set-Stabilizers in Permutation Groups With Restricted Composition Factors

Laszlo Babai

 

85-012

Continuous Routing and Batch Routing on the Hypercube

Yukon Chang and Janos Simon

 

86-001

Random oracles separate PSPACE from the polynomial time hierarchy

Laszlo Babai

 

86-002

Inferring Sequences Produced by Pseudo-Random Number Generations

Joan Boyar

 

86-004

Coloring Planar Graphs in Parallel

Joan Boyar and Howard Karloff

 

86-005

An NC Algorithm for Brooks' Theorem

Howard J. Karloff

 

86-006

Collapsing Degrees

Stuart A. Kurtz, Stephen R. Mahaney, James S. Royer

 

86-007

Progressions of Relatively Succinct Programs in Subrecursive Hierarchies

James S. Royer and John Case

 

86-10

The Iterated Mod Problem

Howard J. Karloff and Walter L. Ruzzo

 

87-001

Noncollapsing Degrees

Stuart A. Kurtz, Stephen R. Mahaney, James S. Royer

 

87-002

A Discrete Logarithm Implementaion of Zero-Knowledge Blobs

Joan F. Boyar, Mark W. Krentel, Stuart A. Kurtz

 

87-003

Term-Rewriting Implementation of Equtional Logic Programming

Michael J. O'Donnell

 

87-004

Survey of the Equational Logic Programming Project

Michael J. O'Donnell

 

87-005

Lower bounds for the size of circuits of bounded depth in basis

Mark Alan Epstein

 

87-006

A Generalization of Automatic Sequences

Jeffery Shallit

 

87-007

Fast and rigorous factorization under the generalized Riemann hypothesis

Arjen K. Lenstra

 

87-008

Algorithms in number theory

A.K.Lenstra and H.W. Lenstra, Jr.

 

87-009

An Algol-68 Interpreter

Laszlo Csirmaz

 

87-10

Two Methods for the Generation of Fractal Images

Jeffrey Shallit

 

87-011

Chromatic Numbers of Random Hypergraphs and Associated Graphs

Eli Shamir

 

87-012

On Connectionist Models

Jiawei Hong

 

87-013

Providing Inequalities by Examples

Jiawei Hong

 

87-014

Arthur-Merlin Games: A Randomized Proof System, and A Hierarchy of Complexity Classes

Laszlo Babai, Shlomo Moran

 

87-015

A Characterization of Proof Speed-up

James S. Royer

 

87-016

A Subset Coloring Algorithm and Its Applications to Computer Graphics

David Rubinstein, Jeffrey Shallit, and Mario Szegedy

 

87-017

Infinite Products Associated with Counting Blocks in Binary Strings

J.P. Allouche and J. Shallit

 

87-018

Analysis of an Infinite Product Algorithm

J.P. Allouche,  J. Shallit, P. Hajnal

 

87-019

Geometry of Numbers and Integer Programming (Summary)

C. P. Schnorr

 

87-020

How Long Can a Euclidean Traveling Salesman Tour Be?

Howard J. Karloff

 

87-022

Universal Traversal Sequences of Length n^O(log n) for Cliques

howard J. Karloff, Ramamohan Paturi,  Janos Simon

 

88-001

A Note on the Relative Complexity of Ok(N) and d(N)

Jeffrey Shallit

 

88-002

The Rate of Convergence of the Modified Method of Characteristics for Linear Advection Equations in Once Dimension

Clint Dawson,Todd Dupont, Mary Wheeler

 

88-003

   

88-004

An      Lower bound on the Randomized Complexity of Graph Properties

Peter Hajnal

 

88-005

An Algebraic Model for Bounding Threshold Circuit Depth

Joan Boyar,Gudmund Frandsen, Carl Sturtivant

 

88-006

Remarks on Some Dynamical Problems of Controlling Redundant Manipulators

T. Shamir

 

88-007

A Fast Planar Partition Algorithm Part I

Ketan Mulmuley

 

88-008

Interactive proofs in finite groups

Laszlo Babai

 

88-009

On Singularities of redundant robot arms

T. Shamir

 

88-013

On the Enumeration Technique

Stuart A. Kurtz, Carl H. Smith

 

88-014

Automatic, Transparent Parallelization of Logic Prograqms at Complie Time

Will Winsborough

 

88-15

Source-Level Transforms for multiple Specialization of Horn Clauses (extended Abstract)

Will Winsborough

 

88-16

Compact incremental Gaussian elimination over ZZ/2ZZ

A.K. Lenstra and M.S. Manasse

 

88-17

Complexity Corresponds to Topology

Juris Hartmanis, Lane Hemachandra, Stuart A. Kurtz

 

88-18

The Isomorphism Conjecture Fails Relative to a Generic Oracle

Stuart A. Kurtz

 

88-19

Complexity of graph problems

Peter Hajnal

 

88-20

   

88-21

On Levels in Arrangements and Voronoi diagrams

Ketan Mulmuley

 

88-22

Practical Zero-Knowledge Proofs: Giving Hints and Using Deficiencies

Joan Boyar, Katalin Friedl, Carsten Lund

 

89-01

Some Problems and Results in the Theory of Actual Computable Functions (preliminary abstract)

Wolfgang Maass and Theodore A. Slaman

 

89-02

On the Concrete Complexity of Zero-Knowledge Proofs

Joan Boyar, Rene Peralta

 

89-03

Testing Confluence of Nonterminating, Overlapping Systems of Rewrite Rules

Yiyun Chen, Michael J. O'Donnell

 

89-04

Linearity and Unprovability of Set Union Problem Strategies: I. Linearity of On Line Postorder

Martin Loebl and Jaroslav Nesetril

 

89-05

Categorical Grammars Determined from Linguistic Data by Unification

Wojciech Buszkowski and Gerald Penn

 

89-06

Smooth Particle Methods on Bounded Domains

Barry Merriman

 

89-07

A Complexity Theoretic Failure of the Cantor-Bernstein Theorem

Stephen A. Fenner

 

89-09

A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation

Clint Dawson, Qiang Du, Todd F. Dupont

 

89-10

Computing Irreducible Representations of Finite Groups

Laszlo Babai, Lajos Ronyai

 

90-01

Perpetuities Reasoning captured and Automated: Gray's Mathematics Expressed in a Logic Program

Barnett W. Glickfeld

 

90-02

A Characterization of P by Straight Line Programs of Polynomials, with Applications to Interactive Proofs and Toda's Theorem

Laszlo Babai, Lance Fortnow

 

90-03

Non-Deterministic Exponential Time had Two-Prover Interactive Protocols

Laszlo Babai, Lance Fortnow, Carsten Lund

 

90-04

Efficient, Perfect Polynomial Random Number Generators

S. Micali, Claus P. Schnorr

 

90-05

Developing an Interactive Interface for Equational Logic Programs

Samuel A. Rebelsky, David J. Sherman

 

90-06

A Priori estimates for mixed finite element methods for the wave equation

Lawrence Cowsar, Todd  Dupont, Mary Wheeler

 

90-07

Testing Confluence of Nonterminating Rewriting Systems

Yiyun Chen, Michael J. O'Donnell

 

90-08

Infinite Terms and Infinite Rewritings

Yiyun Chen, Michael J. O'Donnell

 

90-09

The Average Sensitivity of Functions in AC^0

Carsten Lund

 

90-10

Vertex-Transitive Graphs and Vertex-Transitive Maps

Laszlo Babai

 

90-11

Interactive Proof Systems and Alternating Time-Space Complexity

Lance Fortnow, Carsten Lund

 

90-12

An Abstract Machine for Efficient Implementation of Term Rewriting

David J. Sherman, Robert I. Strandh

 

90-13

Preliminary Noted on Version 4.1 of the Equational Compiler

Linda Sellie and David J. Sherman

 

90-14

BPP has Weak Subexponential Time Simulations unless EXPTIME has punishable Proofs

Laszlo Babai, Lance Fortnow, Noam Nisan, Avi Wigderson

 

90-15

E-mail and the Unexpected Power of Interaction

Laszlo Babai

 

90-16

Algebraic Methods for Interactive Proof Systems

CarstenLund, Lance Fortnow, Howard Karloff, Noam Nisan

 

90-17

Maximum Diameter of Regulr Diagraphs

Jose A. R. Soares

 

90-18

# P-completeness via Many-one reductions

Viktoria Zanko

 

90-19

Sharing Common Subexpressions in EM code Programs

David J. Sherman

 

90-20

An error estimate for a new scheme for the general variable coefficient linearized thermal pipeline equations

Philip T. Keenan

 

90-22

On the Random-Self-Reducibility of Complete Sets

Joan Feigenbaum, Lance Fortnow

 

90-23

On levels in arrandements and Voronoi diagrams, II: output sensitive and dynamic constructions

Ketan Mulmuley

 

90-24

A Generalization of Dehn-Sommerville Relations to Simple Stratified Spaces

Ketan Mulmuley

 

90-25

View Dependent Partitions

Ketan Mulmuley

 

90-26

Proving Unorientable Equational Formulas

Yiyun Chen, Michael J. O'Donnell

 

90-27

Nonterminating Rewritings with Head Boudedness

Yiyun Chen, Michael J. O'Donnell

 

90-28

Lazy Directed Congruence Closure

David J. Sherman

 

90-29

Partial Evaluation of Intermediate Code from Equational Programs

David J. Sherman and Robert I. Strandh

 

90-30

PP is closed under truth-table reductions

Lance Fortnow and Nick Reingold

 

90-31

An Efficient Algorithm For Hidden Surface Removal, II

Ketan Mulmuley

 

90-31B

Local expansion of Vertex-transitive graphs and random generation in finite groups

Laszlo Babai

 

90-32

Gap-definable counting classes

Steve Fenner, Lance Fortnow, Stuart Kurtz

 

90-33

Constructing Reliable Communication Networks of Small Weight Online

Barun Chandra, Sundar Vishwanathan

 

90-34

Notions of resouce-bounded category and genericity

Stephen A. Fenner

 

91-01

The Power of Interaction

Carsten Lund

 

91-02

Computational Complexity in Finite Groups

Laszlo Babai

 

91-03

Vertex-Transitive Graphs and Vertex-Transitive Maps

Laszlo Babai

 

91-04

Tight lower bounds on genericity required to prevent one-way functions

Stephen A. Fenner

 

91-05

Fast Mone Carlo Algorithms for Permutation Groups

Laszlo Babai, Gene Cooperman, Larry Finkelstein, Eugene Luks, and Akos Seress

 

91-06

Checking Computations in Polylogarithmic Time

Laszlo Babai, Lance Fortnow, Leonid A. Levin, Mario Szegedy

 

91-07

A Simple online algorithm for constructing Voronoi diagrams

Ketan Mulmuley

 

91-08

Checking Computations in Polylogarithmic Time

Laszlo Babai, Lance Fortnow, Leonid A. Levin, Mario Szegedy

 

91-09

Arithmetization: A New Method in Structural Complexity Theory

Laszlo Babai, Lance Fortnow

 

91-10

Non-Deterministic Exponential Time Has Two-Prover Interactive Protocols

Laszlo Babai, Lance Fortnow, Carsten Lund

 

91-11

The edge-orbit Conjecture of Babai

Albert J. Goodman

 

91-12

Subdirect Reducible Groups and Edge-Minimal Graphs with Given Automorphism Group

Laszlo Babai and Albert J. Goodman

 

91-13

Lower bounds for the complexity of reliable Boolean circuits with noisy gates

Anna Gal

 

91-14

Graphs with Given Automorphism Group and few Edge Orbits

Laszlo Babai, Albert J. Goodman, and Laszlo Lovasz

 

91-15

Bounded round interactive proofs in finite groups

Laszlo Babai

 

91-16

Nearly Linear Time Algorithms for Permutation Groups with a Small Base

Laszlo Babai, Gene Cooperman, Larry Finkelstein, and Akos Seress

 

91-17

Symmetry and Complexity

Laszlo Babai, Robert Beals, and Pal Takacsi-Nagy

 

91-18

Chains, Gaps, and Finite Extensions: Three Topics in Structural Complexity

Stephen A. Fenner

 

91-19

Thermal Simulation of Pipeline Flow

Philip T. Keenan

 

91-20

Approximate Representation Theory of Finite Groups

Laszlo Babai and Katalin Friedl

 

91-21

Permutation groups without exponentially many orbita on the power set

Laszlo Babai and Laszlo Pyber

 

91-021

The Internals of the Equational Programming System Version 3.1

Robert Strandh

 

91-22

Local expansion of symmetrical graphs

Laszlo Babai and Mario Szegedy

 

91-23

On the diameter of permutation groups

Laszlo Babai and Akos Seress

 

91-24

On Faithful Permutation Representations of Small Degree

Laszlo Babai and Albert J. Goodman

 

91-25

Algebraic Aspects of Complexity Functions

Lide Li

 

91-26

Does Randomization Help in On-Line Packing

Barun Chandra

 

91-27

Promising Directions in Active Vision

Active Vision workshop Employees

 

91-28

An Introduction to tours A Protocol for Demand-Driven Communication of Terms

Samuel A. Rebelsky

 

91-29

An Approximation Algorithm for the Asymmetric Travelling Salesman Problem with Distances One and Two

Sundar Vishwanathan

 

91-30

Gap-Definable Counting Classes

Steve Fenner, Lance Fortnow, Stuart Kurtz

 

92-01

Connecting Formal Semantics to Constructive Intuitions

Stuart A. Kurtz, John C. Mitchell and Michael J. O'Donnell

 

92-02

On the diameter of random Cayley graphs of the symmetric group

L. Babai and G. L. Hetyei

 

92-03

I/O Trees I/O Support for Equational Logic Programming

Samuel A. Rebelsky

 

92-04

A New Lower Bound Theorem for Read Only Once Branching Programs and Its Applications

Janos Simon and Mario Szegedy

 

92-05

Approximating Euclidean Distances by Small Degree Graphs

Jose Soares

 

92-06

Observing Self-Stabilization

Chengdian Lin and Janos Simon

 

92-07

Electronic Journals scholarly invariants in a changing medium

M. J. O'Donnell

 

92-08

An Oracle Relative to which the Isomorphism Conjecture Holds

Stephen A. Fenner, Lance Fortnow, Stuart A. Kurtz

 

92-09

New Sparseness Results on Graph Spanners

Barun Chandra, Gautam Das, Giri Narasimhan, Jose Soares

 

92-10

On the Abstract Group of Automorphisms

Laszlo Babai and Albert J. Goodman

 

92-11

Short Presentations for Finite Groups

L. Babai, A.J. Goodman, W.M. Kantor, E.M. Luks, P.P. Palfy

 

92-12

Graph Spanners: a Survey

Jose Soares

 

92-13

Gap-Definability as a Closure Property

Stephen Fenner, Lance Fortnow, Lide Li

 

92-14

Graph Spanners

Jose Soares

 

92-15

Noniterative Domain Decomposition for Second Order Hyperbolic Problems

Clint N. Dawsom and Todd F. Dupont

 

92-16

Computing the Composition Factors of Primitive Groups

Laszlo Babai, Eugene M. Luks, Akos Seress

 

92-17

Deciding finiteness of matrix groups in deterministic polynomial time

Laszlo Babai, Robert Beals, and Daniel Rockmore

 

92-18

Several Procedures for Operator-Based Averaging for Elliptic Equations

Clint N. Dawson and Todd F. Dupont

 

92-19

How Required Compression Depends on the Thermodynamics of Rich Gas Flow

Todd F Dupont and Henry H. Rachford, Jr.

 

92-20

Drop Formation in a One-Dimensional Approximation of the Navier-Stokes Equation

Jens Eggers and Todd F. Dupont

 

92-21

Reducing the Rank of Lower Triangular All-Ones Matrices

Peter Kimmel and Amber Settle

 

92-22

Color and Geometry as Cues for Indexing

Markus A. Stricker

 

92-23

Tree Pattern Matching for Strongly Sequential Systems

Jiefei Hong

 

92-24

Inline Algorithms for Graph Problems

Sundar Vishwanathan

 

92-25

Oracles, Proofs and Checking

Lance Fortnow

 

92-26

An Oracle Builder's Toolkit

Stephen A. Fenner, Lance Fortnow, Stuart A. Kurtz, Lide Li

 

92-27

A Simple Proof of Representing OR Function as a Polynomial Modulo Prime Numbers

Shi-Chun Tsai

 

92-28

Lower Bounds on Representing Boolean Functions as Polynomials in Zn

Shi-Chun Tsai

 

93-01

Transparent (holographic( Proofs

Laszlo Babai

 

93-02

Low degree test

Katalin Friendl and Zsolt Hatsagi

 

93-03

On PP-Low Classes

Lide Li

 

93-04

Efficient Algorithms for Token Management for One-bit Delay Rings with Priorities

Lide Li and Janos Simon

 

93-05

Constructing Sparse Spanners for Most Graphs in Higher Dimensions

Barun Chandra

 

93-06

Tours, A System for Lazy Term-Based Communication

Samuel A. Rebelsky

 

93-07

Direct Memory Access Parsing

Charles Eugene Martin

 

93-08

A Generic Separation

Lance Fortnow

 

93-09

A Note on Step Satisfied Boolean Formulas

Peter Kimmel

 

93-10

Algorithms for Finite Groups

Robert M. Beals

 

93-11

Electronic Journals scholarly invariants iin a changing medium

M. J. O'Donnell

 

93-12

On the Counting Functions

Lide Li

 

93-13

On Slightly superlinear transparent proofs

Laszlo Babai and Katalin Friedl

 

93-14

Seperability and One-Way Functions

Lance Fortnow and John Rpgers

 

93-15

Transparent Proofs and Limits to Approximation

Laszlo Babai

 

93-16

Optimality and Domination in Repeated Games with bounded Players

Lance Fortnow and Duke Whang

 

93-17

Fault tolerant circuits and probabilistically checkable proofs

Anna Gal and Mario Szegedy

 

93-18

t-Particle Random Walks and Recycle Random Bits in Parallel (extended Abstract)

Katalin Friedl and Shi-Chun Tsai

 

94-01

A Note on Self-Correction vs. Random-Self-Reducibility (Preliminary Version)

Joan Feigenbaum, Lance Fortnow

 

94-02

Relativity Recursive Reals and Real Functions

Chun-Kuen Ho

 

94-03

A Kolomogorov Complexity proof of Hastad's switching lemma

Sophie Lapante

 

94-04

Simultaneous Messages vs. Communication

Laszlo Babai and Peter Kimmel

 

94-05

The Capacity and the Sensitivity of Color Histogram Indexing

Markus Stricker and Michael Swain

 

94-06

Beyond Recursive Real Functions

Chun-Kuen Ho

 

94-08

Transparent Proofs and Limits to Approximtion

Laszlo Babai

 

94-08

Two results on the Bit Extraction Problem (extended Abstract)

Shi-Chun Tsai and Katalin Friedl

 

94-09

Resource-Bounded Instance Complexity

Lance Fortnow and Martin Kummer

 

94-10

Automorphism groups, isomorphism, reconstruction

Laszlo Babai

 

94-11

Decomposition of Matrix Groups and Algebras

Katalin Friedl

 

94-12

Semi-unbounded fan-in circuits: Boolean vs. arithmetic

Anna Gal

 

94-13

Run-Time and Compile-Time Improvements to Equational Programs

David J. Sherman

 

94-14

Beyond P^NP=NEXP

Stephen Fenner and Lance Fortnow

 

94-15

Introduction: Logic and Logic Programming Languages

Michael J. O'Donnell

 

94-16

Equational Logic Programming

Michael J. O'Donnell

 

94-17

Intuitive Counterexamples for Constructive Fallacies

James Lipton and Michael J. O'Donnell

 

94-18

Fault tolerant circuits and probabilistically checkable proofs

Anna Gal and Mario Szegedy

 

94-19

A Note on adaptiveness and advice in coherence

Lance Fortnow and Sophie Laplante

 

94-20

The Isomorphism Conjecture Holds and One-way Functions Exist Relative to an Oracle

John Rogers

 

94-21

Beating A Finite Automaton in the Big Match

Lance Fortnow and Peter Kimmel

 

94-22

Simultaneous Messages vs. Communication

Laszlo Babai, Peter G. Kimmel, Satyanarayana V. Lokam

 

94-23

Multiplicative equations over commuting matrices

Laszlo Babai, Robert Beals, Jin-yi Cai, Gabor Ivanyos, Eugene Luks

 

94-24

Approximation and Online Algorithms for Graph Problems

Barun Chandra

 

94-25

Convergence in Recursive Analysis

Chun-Kuen Ho

 

95-01

Measure, Category, and Learning Theory

Lance Fortnow, Rusins Freivalds, William Gasarch, Martin Kummer, Stuart Kurtz, Carl Smith, Frank Stephan

 

95-09

A Simple function that requires exponential size read-once branching programs

Anna Gal