Feasible computations and provable complexity properties by Juris Hartmanis

Cover of: Feasible computations and provable complexity properties | Juris Hartmanis

Published by Society for Industrial and Applied Mathematics in Philadelphia .

Written in English

Read online

Subjects:

  • Machine theory.,
  • Formal languages.,
  • Computational complexity.

Edition Notes

Bibliography: p. 61-62.

Book details

StatementJuris Hartmanis.
SeriesCBMS-NSF regional conference series in applied mathematics ;, 30
Classifications
LC ClassificationsQA267 .H35
The Physical Object
Pagination62 p. ;
Number of Pages62
ID Numbers
Open LibraryOL4726902M
LC Control Number78014744

Download Feasible computations and provable complexity properties

An overview of current developments in research on feasible computations; and a consideration of this area of research in relation to provable properties of complexity of computations.

The author begins by defining and discussing efficient reductions between problems and considers the families and corresponding complete languages of NL, DCSL Cited by: Keywords: feasible computations, reductions, complete sets, L-isomorphisms - Hide Description An overview of current developments in research on feasible computations; and a consideration of this area of research in relation to provable properties of complexity of computations.

Feasible Computations and Provable Complexity Properties Book Code: CB Series: CBMS-NSF Regional Conference Series in Applied Mathematics. the results about complexity of computations change quite radically if we consider Feasible computations and provable complexity properties book properties of computations which can be proven formally.

As a matter of fact, these results suggest that we. Feasible Computations and Provable Complexity Properties Title Information.

Published: ISBN: eISBN: Book Code: CB30 more recent developments in the study of the structure of feasible computations and in the investigation of provable properties of complexity of computations and their relations.

Get this from a library. Feasible computations and provable complexity properties. [Juris Hartmanis] -- An overview of current developments in research on feasible computations; and a consideration of this area of research in relation to provable properties of complexity of computations.

The author. Feasible Computations and Provable Complexity Properties > /ch5 Feasible Computations and Provable Complexity Properties Published: ISBN: eISBN: Book Code: CB Series: CBMS-NSF Regional Conference Series in Applied Mathematics.

Feasible Computations and Provable Complexity Properties > /bm Feasible Computations and Provable Complexity Properties Back Matter. This Chapter Appears in. Title Information. Published: ISBN: eISBN: Book Code: CB Series: CBMS-NSF Regional Conference Series in. Hartmanis has published four books and over research Feasible computations and provable complexity properties book.

J., Feasible Computations and Provable Complexity Properties. Society for Industrial & Applied Mathematics, Philadelphia, Pennsylvania, P. Lewis and R. Stearns, “Classification of Computations by Time and Memory Requirements,” Proceedings of IFIP Congress. E-Book Titles. IISc has perpetual access to several E-Book collections from the leading publishers like the American Mathematical Society, Cambridge University Press, Elsevier, Oxford University Press, Springer, John Wiley etc.

Feasible computations and provable complexity properties: Hartmanis, Juris: SIAM: Feedback systems: input. Feasible computations and provable complexity properties.

Monograph, Society for Industrial and Applied Mathematics, Some structural properties of polynomial reducibilities and sets in NP. Proc. 15th STOC,pp – Buy this book on publisher's site; Reprints and Permissions; Personalised recommendations.

Selected Books | FIND BOOKS BY JURIS V. HARTMANIS ON AMAZON Algebraic Structure Theory of Sequential Machines (Prentice-Hall, ) Feasible Computations and Provable Complexity Properties (SIAM, ) Computational Complexity Theory.

It is notoriously hard to express computational complexity properties of programs in programming logics based on a semantics which respects extensional function equality. Feasible Computations and Provable Complexity Properties, SIAM, Philadelphia () J.

Remmel (Eds.), Feasible Mathematics II, Perspectives in Computer Science. Provable complexity classes are also investigated. Introduction Investigation of computational coiiiplexity has led to various important properties of Turing machines, not previously studied in Recursion Theory.

In this paper we are going to investigate definitional complexity of such properties. Hartmanis, Feasible computation and provable complexity properties (very difficult) Hennie, Introduction to computability Machtey and Young, An introduction to the general theory of algorithms Savage, The complexity of computing Parallel Processing: Quinn, M.

J., Parallel Computing: Theory and Practice, McGraw-Hill, NY,   Feasible Computations and Provable Complexity Properties. CBMSNSF Regional Conference Series in Applied Mathematics # CBMSNSF Regional Conference Series in Applied Mathematics # SIAM,   Models of computation, complexity bounds (with particular emphasis on lower bounds), complexity classes, trade-off results.

for sequential and parallel computation; for "general" (Boolean) and "structured" computation (e.g. decision trees, arithmetic circuits) for deterministic, probabilistic, and nondeterministic computation; worst case and.

See Chapter 5 of Feasible Computations and Provable Complexity Properties (available via Google Books) by Juris Hartmanis: "Long Proofs of Trivial Theorems." $\endgroup$ –.

Borodin, Allan. Computational Complexity and the Existence of Complexity Gaps. September 2. Lewis, Forbes Downer. Unsolvability Considerations in Computational. Hartmanis, Feasible Computations and Provable Complexity Properties, CBMS-NSF Regional Conference Series in Applied Mathematics 30 (SIAM, ).

Google Scholar; L. Hemaspaandra and M. Ogihara, The Complexity Theory Companion (Springer, ). Crossref, Google Scholar. theory of computation. • Graduate Complexity course. The book can serve as a text for a graduate complexity course that prepares graduate students interested in theory to do research in complexity and related areas.

Such a course can use parts of Part I to review basic material, and then move on to the advanced topics of Parts II and III. We study the P versus NP problem through properties of functions and monoids, continuing the work of [3]. Here we consider inverse monoids whose properties and relationships determine whether P is different from NP, or whether injective one-way functions (with respect to worst-case complexity) exist.

JURIS HARTMANIS, Feasible Computations and Provable Complexity Properties ZOHAR MANNA, Lectures on the Logic of Computer Programming ELLIS L.

JOHNSON, Integer Programming: Facets, Subadditivity, and Duality for Group and Semi-Group Problems SHMUEL WINOGRAD, Arithmetic Complexity of Computations J. KINGMAN, Mathematics of Genetic Diversity.

Abstract. For any reduction r, a set is called “≤ r p-sparse” if it is ≤ r p-reducible to a sparse difficulty of sets in nondeterministic complexity classes is investigated in terms of non-≤ 1−tt p-sparseness, i.e., not being ≤ 1−tt p-reducible to any sparse particular, nondeterministic complexity classes used to specify various types of one-way functions are.

Journals & Books; Help Download full Resolution, Ph.D. Thesis, University of Illinois, Urbana-Champaign, Hartmanis, J., Feasible Computations and Provable Complexity Properties, Regional Conference Series in Applied Mathematics, SIAM, J.

HartmanisFeasible Computations and Provable Complexity Properties. Regional. J. Hartmanis, Feasible Computations and Provable Complexity Properties, SIAM Monographie, Philadelphia, Google Scholar [H I M] J.

Hartmanis, N. Immerman, S. Mahaney, One-way Log-Tape Reductions, Proc. of the 19th Symposium on Foundations of Computer Science (), 65–71 Google Scholar. In this lecture, we study the most important complexity classes for deterministic, nondeterministic, parallel, and probabilistic computations.

Particular attention will be given to the relationships between differrent computation models and to complete problems in the most relevant complexity classes. Computation complexity The per-bundle computation complexity at sender and receiver sides is mainly O RTTλ k with (n, k) (see Tournoux et al.

[ ] for further details). The coding parameter, λ, is the average sending rate of the application in bundles per second, and RTT the average delay between the emission of a bundle and the. Rice's Theorem states that all nontrivial language properties of recursively enumerable sets are undecidable.

Borchert and Stephan (Math. Logic Quart. 46 (4) () –) started the search for complexity-theoretic analogs of Rice's Theorem, and proved that every nontrivial counting property of boolean circuits is UP-hard. Hemaspaandra and Rothe (Theoret. Update II and Summary.

I have become aware that Juris Harmanis’ monograph Feasible Computations and Provable Complexity Properties can be read as an in-depth response to Q1–er, the (excellent) Q1 and Q4 proof sketches provided below by Travis Service and by Alex ten Brink provide a modern affirmation and extension of Hartmanis' overall conclusions that.

Meta-complexity refers to the computational complexity of problems whose instances themselves encode algorithms or computations. Some of the fundamental questions in theoretical computer science are questions about meta-complexity, including: Is the Satisfiability Problem solvable in less than exponential time.

This book has been cited by the following publications. computability and Gödel's theorems. Part II studies and classifies provable recursion in classical systems, from fragments of Peano arithmetic up to Π11–CA0. Takeuti [] First order bounded arithmetic and small boolean circuit complexity classes, Feasible Mathematics II (P.

The field of Theoretical Computer Science (TCS), especially Computational Complexity Theory, is arguably the most foundational aspect of Computer Science. It deals with fundamental questions such as, what is feasible computation, and what can and cannot be computed with a reasonable amount of computational resources in terms of time and/or space.

Books by the faculty 44 tional complexity, compiler construction, information retrieval, numerical analysis, programming methodolo-gy, theory of scheduling, and more. Two NRC reports, by Hartmanis and by Schneider, have had a national impact.

Only the fi rst edition of each book is listed. Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): (external link) http. the standard classification of feasible computations. Furthermore, the IP = PSPACE result reveals some very interesting and unsuspected properties of mathematical proofs.

In this column we define the width of a proof in a formal system F and show that it is an. Computational complexity theory focuses on classifying computational problems according to their resource usage, and relating these classes to each other.

A computational problem is a task solved by a computer. A computation problem is solvable by mechanical application of mathematical steps, such as an algorithm. A problem is regarded as inherently difficult if its solution requires.

Get this from a library. Proof complexity and feasible arithmetics: DIMACS workshop, April[Paul W Beame; Samuel R Buss; DIMACS (Group); NSF Science and Technology Center in Discrete Mathematics and Theoretical Computer Science.;]. Structural complexity theory is the study of the form and meaning of computational complexity classes.

A robust machine is a nondeterministic Turing machine that maintains certain computational properties in every relativized world.

our goal is to use counting as a tool in understanding the structure of feasible computations. Save to. Juris Hartmanis' monograph Feasible computations and provable complexity properties () covers much of the same material as Emanuele Viola's proof.

xity-theory approximation-hardness. I also provides necessary conditions for semi-decidable properties. Programs running in O(n^k) are a complexity clique in the above sense, hence.

Hartmanis, Computational complexity of one-tape Turing machine computations, J. ACM, 15 () Google Scholar Digital Library; br J. Hartmanis, Feasible Computations and Provable Complexity Properties, Society for Industrial and Applied. Computability of a function is an informal notion.

One way to describe it is to say that a function is computable if its value can be obtained by an effective more rigor, a function: → is computable if and only if there is an effective procedure that, given any k-tuple of natural numbers, will produce the value ().

In agreement with this definition, the remainder of this.Hartmanis, Feasible computation and provable complexity properties (very difficult) Hennie, Introduction to computability Machtey and Young, An introduction to the general theory of algorithms Savage, The complexity of computing Parallel Processing: Quinn, M.

J., Parallel Computing: Theory and Practice, McGraw-Hill, NY, (A good.Do pseudo-random generators exist? Is efficient learning of concepts feasible?

Are complexity lower bounds provable in standard proof systems? These questions connect complexity theory to a wide range of other areas, including algorithm design, derandomization, learning, cryptography, and logic.

96777 views Saturday, November 14, 2020