Computability Theory

Theory of Computation: What is Theory of Computation

Duration: 7:09
Updated: 26 Feb 2013

1. The main question of theory of computation 2. What does "computed" mean anyway? 2. Computational devices 3. Algorithmics vs. Computability 4. Course home ...

http://wn.com/Theory_of_Computation_What_is_Theory_of_Computation

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Dan Says - Introductory Computability Theory - Turing Machine Introduction 2

Duration: 6:53
Updated: 29 Jul 2013

Hello everybody! I am discussing an introduction to Turing Machines and why this machine is important to today and Computer Science. Developed by the father ...

http://wn.com/Dan_Says_-_Introductory_Computability_Theory_-_Turing_Machine_Introduction_2

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Theory of Computation: Partially Computable and Computable Functions (Part 01)

Duration: 11:18
Updated: 12 Feb 2013

1. Partial functions 2. Partially computable functions 3. Class web page is at http://vkedco.blogspot.com/2011/08/theory-of-computation-home.html 4. Referenc...

http://wn.com/Theory_of_Computation_Partially_Computable_and_Computable_Functions_(Part_01)

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Dan Says - Introductory Computability Theory - Turing Machine Introduction 1

Duration: 8:06
Updated: 29 Jul 2013

Hello everybody! I am discussing an introduction to Turing Machines and why this machine is important to today and Computer Science. Developed by the father ...

http://wn.com/Dan_Says_-_Introductory_Computability_Theory_-_Turing_Machine_Introduction_1

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Theory of Computation: Composition and Recursion (Part 01)

Duration: 13:46
Updated: 01 Apr 2013

1) Scientific theories, primitives, and constructive devices 2) Function composition 3) Function composition of partially computable functions is partially c...

http://wn.com/Theory_of_Computation_Composition_and_Recursion_(Part_01)

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Theory of Computation: Unbounded Minimalization, Goldbach's Conjecture, & Partial Computability

Duration: 11:19
Updated: 03 Mar 2012

1) Bounded & Unbounded Minimalization 2) Goldbach's Conjecture 3) Goldbach's Conjecture & Unbounded Minimalization 4) Unbounded Miniamlization & Partial Comp...

http://wn.com/Theory_of_Computation_Unbounded_Minimalization,_Goldbach's_Conjecture,_&_Partial_Computability

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what does "group theory" tell us about computability?

Duration: 9:07
Updated: 11 Oct 2012

Can we use group theory as a tool for discussing computation in general? Can we specify a function which computes the next state of the person or machine? Le...

http://wn.com/what_does_"group_theory"_tell_us_about_computability?

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CiE 2013 - Mariya Soskova - The Turing Universe in the Context of Enumeration Reducibility

Duration: 60:13
Updated: 17 Oct 2013

A fundamental goal of computability theory is to understand the way that objects relate to each other in terms of their information content. We wish to understand the relative information content between sets of natural numbers, how one subset of the natural numbers Y can be used to specify another one X. This specification can be computational, or arithmetic, or even by the application of a countable sequence of Borel operations. Each notion in the spectrum gives rise to a different model of relative computability. Which of these models best reflects the real world computation is under question.

http://wn.com/CiE_2013_-_Mariya_Soskova_-_The_Turing_Universe_in_the_Context_of_Enumeration_Reducibility

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cellular automata: codd-devore-generations-wire world

Duration: 3:55
Updated: 14 Aug 2013

epic cellular automata! A cellular automaton (pl. cellular automata, abbrev. CA) is a discrete model studied in computability theory, mathematics, physics, c...

http://wn.com/cellular_automata_codd-devore-generations-wire_world

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Effective Mathematics of the Uncountable (Lecture Notes in Logic) by Noam Greenberg, ...[PDF]

Duration: 1:47
Updated: 17 Dec 2013

download link: http://www.rarbes.com/effective-mathematics-of-the-uncountable-lecture-notes-in-logic-by-noam-greenberg-denis-hirschfeldt-joel-david-hamkins-russell-miller-pdf/ Effective Mathematics of the Uncountable (Lecture Notes in Logic) by Noam Greenberg, Denis Hirschfeldt, Joel David Hamkins, Russell Miller [PDF] Classical computable model theory is most naturally concerned with countable domains. There are, however, several methods -- some old, some new -- that have extended its basic concepts to uncountable structures. Unlike in the classical case, however, no single dominant approach has emerged, and different methods reveal different aspects of the computable content of uncountable mathematics. This book contains introductions to eight major approaches to computable uncountable mathematics: descriptive set theory; infinite time Turing machines; Blum-Shub-Smale computability; Sigma-definability; computability theory on admissible ordinals; E-recursion theory; local computability; and uncountable reverse mathematics. This book provides an authoritative and multifaceted introduction to this exciting new area of research that is still in its early stages. It is ideal as both an introductory text for graduate and advanced undergraduate students, and a source of interesting new approaches for researchers in computability theory and related areas.

http://wn.com/Effective_Mathematics_of_the_Uncountable_(Lecture_Notes_in_Logic)_by_Noam_Greenberg,_..._PDF_

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GVSU Mathematics Department seminar: Damir Dzhafarov

Duration: 54:13
Updated: 07 Aug 2012

Damir Dazhafarov speaks at the GVSU Mathematics Department Seminar on March 28, 2012 on "Applications of Computability Theory". This seminar was part of the ...

http://wn.com/GVSU_Mathematics_Department_seminar_Damir_Dzhafarov

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Computable Real Numbers and Why They Are Still Important Today

Duration: 30:32
Updated: 05 Jun 2013

Talk by ACM A.M. Turing Laureate Edmund Clarke during the ACM A.M. Turing Centenary Celebration, June, 2012. Abstract: Although every undergraduate in comput...

http://wn.com/Computable_Real_Numbers_and_Why_They_Are_Still_Important_Today

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Alan Turing: His work on computability and the universal computer

Duration: 62:26
Updated: 29 Jun 2013

Talk by Luca Aceto on Alan Turing's work on computability and the universal computer. (Joint with the Icelandic Mathematical Society.) The talk was held in r...

http://wn.com/Alan_Turing_His_work_on_computability_and_the_universal_computer

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Brain, Contradictions and Computability

Duration: 124:12
Updated: 27 Feb 2014

Round Table discussions held during 5th World Congress on Paraconsistency

http://wn.com/Brain,_Contradictions_and_Computability

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Theory of Computation: Composition and Recursion (Part 04)

Duration: 9:52
Updated: 10 Apr 2012

1. A constructive method of obtaining a total function from two other total functions by primitive recursion 2. Primitive recursion preserves computability: ...

http://wn.com/Theory_of_Computation_Composition_and_Recursion_(Part_04)

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Theory of Computation: Primitive Recrusively Closed Classes of Functions (Part 01)

Duration: 14:13
Updated: 10 May 2013

1. Composition and primitive recursion as constructive methods 2. Does primitive recursion define computability? 3. Three primitives of the theory of primiti...

http://wn.com/Theory_of_Computation_Primitive_Recrusively_Closed_Classes_of_Functions_(Part_01)

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Turing Centennial Conference: Turing, Church, Gödel, Computability, Complexity and Randomization

Duration: 39:12
Updated: 18 Aug 2013

Turing, Church, Gödel, Computability, Complexity and Randomization Presented by Prof. Michael Rabin, Turing Award laureate, Hebrew University & Harvard Unive...

http://wn.com/Turing_Centennial_Conference_Turing,_Church,_Gödel,_Computability,_Complexity_and_Randomization

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Some Theory of Computation for dan91709

Duration: 10:16
Updated: 29 Jul 2013

The following is effectively part 2 of my last video http://www.youtube.com/watch?v=MGRhqXN9ul4 , where this is a video discussing the faulty reasoning of da...

http://wn.com/Some_Theory_of_Computation_for_dan91709

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The Turing Computational Model

Duration: 73:08
Updated: 25 Jun 2013

Chair: Moshe Vardi Panel: Stephen Cook, Juris Hartmanis, William Kahan, Richard E. Stearns Abstract The panel presentations will discuss the beauty and simpl...

http://wn.com/The_Turing_Computational_Model

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Open-texture, computability, and Church's Thesis - Stewart Shapiro

Duration: 64:09
Updated: 27 Jul 2013

The lecture of Stewart Shapiro, 'Open-texture, computability, and Church's Thesis', presented at the "Trends in Logic IX" conference - Church's Thesis: Logic...

http://wn.com/Open-texture,_computability,_and_Church's_Thesis_-_Stewart_Shapiro

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Theory of Computation: Programming Language L (Part 01)

Duration: 14:38
Updated: 19 Sep 2011

1. Formal specification of the programming language L defined in Chapter 2 of "Computability, Complexity, and Languages," 2nd Ed., by Davis, Weyuker, Sigal 2...

http://wn.com/Theory_of_Computation_Programming_Language_L_(Part_01)

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Planning and Computability

Duration: 32:27
Updated: 09 Aug 2013

Lecture by Greg Michaelson at School of Computer Science, Glasgow University

http://wn.com/Planning_and_Computability

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L19: Uncomputable Functions, and Introduction to Complexity

Duration: 81:11
Updated: 11 Jun 2013

Proof by diagonalization that there are uncomputable functions; introduction to complexity theory, big-Oh notation, definition of worst-case for a non-determ...

http://wn.com/L19_Uncomputable_Functions,_and_Introduction_to_Complexity

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Branches of Mathematics

Pure mathematics

Applied mathematics

Related Topics

Theory of Computation: What is Theory of Computation

Dan Says - Introductory Computability Theory - Turing Machine Introduction 2

Theory of Computation: Partially Computable and Computable Functions (Part 01)

Dan Says - Introductory Computability Theory - Turing Machine Introduction 1

Theory of Computation: Composition and Recursion (Part 01)

Theory of Computation: Unbounded Minimalization, Goldbach's Conjecture, & Partial Computability

what does "group theory" tell us about computability?

CiE 2013 - Mariya Soskova - The Turing Universe in the Context of Enumeration Reducibility

cellular automata: codd-devore-generations-wire world

Effective Mathematics of the Uncountable (Lecture Notes in Logic) by Noam Greenberg, ...[PDF]

GVSU Mathematics Department seminar: Damir Dzhafarov

Computable Real Numbers and Why They Are Still Important Today

Alan Turing: His work on computability and the universal computer

Brain, Contradictions and Computability

Theory of Computation: What is Theory of Computation

Dan Says - Introductory Computability Theory - Turing Machine Introduction 2

Theory of Computation: Partially Computable and Computable Functions (Part 01)

Dan Says - Introductory Computability Theory - Turing Machine Introduction 1

Theory of Computation: Composition and Recursion (Part 01)

Theory of Computation: Unbounded Minimalization, Goldbach's Conjecture, & Partial Computability

what does "group theory" tell us about computability?

CiE 2013 - Mariya Soskova - The Turing Universe in the Context of Enumeration Reducibility

cellular automata: codd-devore-generations-wire world

Effective Mathematics of the Uncountable (Lecture Notes in Logic) by Noam Greenberg, ...[PDF]

GVSU Mathematics Department seminar: Damir Dzhafarov

Computable Real Numbers and Why They Are Still Important Today

Alan Turing: His work on computability and the universal computer

Brain, Contradictions and Computability

Theory of Computation: Composition and Recursion (Part 04)

Theory of Computation: Primitive Recrusively Closed Classes of Functions (Part 01)

Turing Centennial Conference: Turing, Church, Gödel, Computability, Complexity and Randomization

Some Theory of Computation for dan91709

The Turing Computational Model

Open-texture, computability, and Church's Thesis - Stewart Shapiro

Theory of Computation: Programming Language L (Part 01)

Planning and Computability

L19: Uncomputable Functions, and Introduction to Complexity

Theory of Computation: What is Theory of Computation

Dan Says - Introductory Computability Theory - Turing Machine Introduction 2

Theory of Computation: Partially Computable and Computable Functions (Part 01)

Dan Says - Introductory Computability Theory - Turing Machine Introduction 1

Theory of Computation: Composition and Recursion (Part 01)

Theory of Computation: Unbounded Minimalization, Goldbach's Conjecture, & Partial Computability

what does "group theory" tell us about computability?

CiE 2013 - Mariya Soskova - The Turing Universe in the Context of Enumeration Reducibility

cellular automata: codd-devore-generations-wire world

Effective Mathematics of the Uncountable (Lecture Notes in Logic) by Noam Greenberg, ...[PDF]

GVSU Mathematics Department seminar: Damir Dzhafarov

Computable Real Numbers and Why They Are Still Important Today

Alan Turing: His work on computability and the universal computer

Brain, Contradictions and Computability

Theory of Computation: Composition and Recursion (Part 04)

Theory of Computation: Primitive Recrusively Closed Classes of Functions (Part 01)

Turing Centennial Conference: Turing, Church, Gödel, Computability, Complexity and Randomization

Some Theory of Computation for dan91709