PPT-1 Introduction to Computability Theory

Author : ellena-manuel | Published Date : 2016-07-19

Lecture11 Variants of Turing Machines Prof Amos Israeli There are many alternative definitions of Turing machines Those are called variants of the original Turing

Presentation Embed Code

Download Presentation

Download Presentation The PPT/PDF document "1 Introduction to Computability Theory" is the property of its rightful owner. Permission is granted to download and print the materials on this website for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.

1 Introduction to Computability Theory: Transcript


Lecture11 Variants of Turing Machines Prof Amos Israeli There are many alternative definitions of Turing machines Those are called variants of the original Turing machine Among the variants are machines with many tapes and non deterministic machines . This conviction of the solvability of every mathematical problem is a powerful incentive to the worker We hear within us the perpetual call There is the problem Seek its solution You can 64257nd it by pure reason for in mathematics these is no ign More precisely we can explain what it means for a partial arith metic function to be computable Since we can code any 64257nite discrete object as a natural number in a natural way we also have a notion of computability on these obj ects We can use C Berkeley CS172 Automata Computability and Complexity Handout 1 Professor Luca Trevisan 232015 Notes on State Minimization These notes present a technique to prove a lower bound on the number of states of any D Outline We simply determine if is the same as its reversal language This works because the reverse of the implication in the de64257nition of must also be true for any machine in by reversing twice Proof Consider a TM which on input does the follo Lecture2: Non Deterministic Finite . Automata (cont.). Prof. Amos Israeli. Roadmap for Lecture. In this lecture we:. Prove that NFA-s and DFA-s are . equivalent. . . Present . the three regular operations.. Lecture14: Recap. Prof. Amos Israeli. Regular languages – Finite automata.. Context free languages – Stack automata.. Decidable languages – Turing machines.. Undecidability.. Reductions.. Subjects. 15-453. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. MINIMIZING . DFAs. THURSDAY Jan . 24. IS THIS . MINIMAL?. 1. 1. 1. 1. 0. 0. 0. 0. NO. IS THIS . MINIMAL?. Lecture14: . The Halting Problem. Prof. Amos Israeli. In this lecture we present an undecidable language.. The language that we prove to be undecidable is a very natural language namely the language consisting of pairs of the form where . Non-Computability Issues in Amorphous Computing. Ji. ří. Wiedermann. Academy of Sciences . Charles University . Prague, CZ. Institute of Computer Science. . Academy of Sciences of the Czech Republic. 12 computability problemiscomputableifitcanbesolvedbysomealgorithm;aproblemthatisnoncomputablecannotbesolvedbyanyalgorithm.Section12.1considers Lecture9: Variants of Turing Machines. Prof. Amos Israeli. There are many alternative definitions of Turing machines. Those are called . variants . of the original Turing machine. Among the variants are machines with many tapes and non deterministic machines. . Sigmund Freud is the father of psychoanalysis. He based many . of his theories on the idea of . the social archetype which causes archetypal theory to have similarities with Psychological Criticism (which we will look at later this semester. . Jeff Edmonds . York University. Lecture. . 0. COSC 4111. Jeff Edmonds . www.cse.yorku.ca\~jeff. jeff@cse.yorku.ca. CSB 3044, ext. 33295. 416-538-7413 . . . Course Material. www.cse.yorku.ca\~jeff\courses\4111. In this topic, we will:. Ask what is computable. Describe a Turing machine. Define Turing completeness. Computability. How do we define what is and what is not computable?. Is it possible to write a C++ function which cannot be written using Pascal, Java, or C#, or vice versa?.

Download Document

Here is the link to download the presentation.
"1 Introduction to Computability Theory"The content belongs to its owner. You may download and print it for personal use, without modification, and keep all copyright notices. By downloading, you agree to these terms.

Related Documents