Theory of computation - PowerPoint PPT Presentation


Computability: Exploring Theoretical Limits of Computation

Delve into computability theory, focusing on what is computable and the limits of computation. Explore concepts like Rice's Theorem, the Halting Problem, and classes of expressiveness in computability theory, such as combinational logic, finite-state machines, pushdown automata, and Turing machines.

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Evolution of Mathematical Theories and Proof Systems

Development of mathematical theories such as model theory, proof theory, set theory, recursion theory, and computational complexity is discussed, starting from historical perspectives with Dedekind and Peano to Godel's theorems, recursion theory's golden age in the 1930s, and advancements in proof t

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Enhanced Security in Multiparty Computation

Explore the improved black-box constructions of composable secure computation, focusing on definitions, objectives, and the formalization basics of multiparty computation (MPC). Learn about the motivating security aspects in MPC and the real/ideal paradigm. Discover how MPC security involves compari

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Understanding the Theory of Firms: Neoclassical vs. Modern Approaches

The theory of firms is explored through the Neoclassical and Modern perspectives. Neoclassical theory focuses on profit maximization, while Modern theory delves into managerial, principal-agent, and transaction cost theories. The discussion covers criticisms of Neoclassical theory and the essential

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Evolution of Light Theory: From Wave Theory to Quantum Theory

At the turn of the century, the discovery of the photoelectric effect challenged the wave theory of light, leading to the development of the quantum theory by Max Planck and Albert Einstein. This new theory introduced the concept of discrete energy units known as quanta, bridging the gap between wav

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Secure Computation Techniques in RAM Models with Efficient Automation

Explore the automation of efficient RAM-model secure computation techniques, including examples such as secure binary search. Discover how traditional solutions using circuit abstractions can be improved for sub-linear time computation through methods like Oblivious RAM. Learn about techniques such

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Secure Multiparty Computation for Department of Education Data Sharing

This report discusses the use of Secure Multiparty Computation (SMC) to enable sharing of sensitive Department of Education data across organizational boundaries. The application of SMC allows for joint computation while keeping individual data encrypted, ensuring privacy and security within the Nat

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Advancements in Active Secure Multiparty Computation (MPC)

Delve into the realm of secure multiparty computation under 1-bit leakage, exploring the intersection of DP algorithms, MPC, and the utilization of leakage for enhanced performance. Discover the overhead implications of achieving active security, as well as the evolution of secure computation protoc

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Enhancing Computation in Physics Education Using Cognitive Approaches

Utilizing evidence-based methods, this study explores incorporating computation in physics courses, focusing on instructional design, student knowledge states, and preparation for future learning. It discusses common conceptual difficulties in quantum mechanics and proposes cognitive theory-based st

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COMET: Code Offload by Migrating Execution - OSDI'12 Summary

The research paper discusses COMET, a system for transparently offloading computation from mobile devices to network resources to improve performance. It outlines the goals of COMET, its design, and evaluation, focusing on distributed shared memory and bridging computation disparity through offloadi

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Actively Secure Arithmetic Computation and VOLE Study

Exploring actively secure arithmetic computation and VOLE with constant computational overhead at Tel Aviv University. Understanding how functions are represented in secure computation using arithmetic circuits over boolean circuits. Efficiently evaluating arithmetic circuits over large finite field

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Enhancing Multi-Party Computation Efficiency Through ORAM Techniques

Explore the realm of efficient random access in multi-party computation through the reevaluation of classic schemes and the introduction of new approaches. Discover the potential of ORAM in improving performance and reducing costs in various computational tasks, such as secure multi-party computatio

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Exploring Secure Computation in the Age of Information

Welcome to Secure Computation Lecture 1 by Arpita Patra. The course covers evaluation policies, projects, and references in the realm of secure computation. The content delves into the significance of information security across various sectors, emphasizing the importance of safeguarding sensitive d

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Secure Two-Party Computation and Basic Secret-Sharing Concepts

In today's lecture of "Foundations of Cryptography," the focus is on secure two-party and multi-party computation, emphasizing semi-honest security where Alice and Bob must compute without revealing more than necessary. Concepts such as real-world vs. ideal-world scenarios, the existence of PPT simu

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Linear Communication in Secure Multiparty Computation for Efficient and Fast Processing

The research focuses on achieving perfectly secure multiparty computation (MPC) with linear communication and constant expected time. It explores efficient approaches using a broadcast-hybrid model and P2P communication, aiming to balance speed and efficiency in MPC. The study highlights the importa

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Computational Learning Theory: An Overview

Computational Learning Theory explores inductive learning algorithms that generate hypotheses from training sets, emphasizing the uncertainty of generalization. The theory introduces probabilities to measure correctness and certainty, addressing challenges in learning hidden concepts. Through exampl

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Theory of Computation Winter 2022: Learning Goals and Key Concepts

Explore the key concepts in the Theory of Computation for Winter 2022, including decision problems, reductions, undecidability, and the relationship between HALTTM and ATM. Learn about decidable, recognizable, and undecidable problems as well as the importance of reductions in proving undecidability

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Undecidability and Reductions in Theory of Computation

Explore the undecidability of the halting problem and ATM, using reductions to show their non-decidability. Discover how problems are reduced from A to B in computation theory, enabling the solution of one problem by solving another.

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Automata Theory and Theory of Computation Overview

This course overview covers concepts in automata theory and theory of computation, including formal language classes, grammars, recognizers, theorems in automata theory, decidability, and intractability of computational problems. The Chomsky hierarchy, interplay between computing components, modern-

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Understanding Non-SD Languages in Theory of Computation

Explore the concept of Non-SD languages in the theory of computation, which are larger in number compared to SD languages. Non-SD languages involve infinite search or analyzing whether a Turing Machine will loop indefinitely. Discover examples and insights into proving languages are not SD through c

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Theories of Interest in Microeconomics II

Explore various theories of interest in economics, including the Classical Theory, Liquidity Preference Theory by Keynes, Productivity Theory, Abstinence Theory, Time-Preference Theory, Fisher's Time Preference Theory, and the Loanable Fund Theory. These theories offer different perspectives on the

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Secure Computation Challenges and Solutions in Data Mining

Exploring the intersection of secure computation and data mining, this content uncovers key challenges such as improving algorithms, converting programs for secure computation, and addressing parallelizability issues. It highlights the importance of cryptography in ensuring data privacy and presents

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Covert Computation: Ensuring Undetectable Engagement

Covert computation aims to conceal the fact that computation is occurring and hide engagement in certain tasks like secure computation, authenticated key exchange, and more. By making messages indistinguishable and utilizing steganographic channels, it becomes possible to keep the activities covert

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Undecidability Proofs and Reductions in Theory of Computation

Explore undecidability proofs and reductions in the context of Theory of Computation through examples and explanations. Understand how problems are reduced to show undecidability, with demonstrations involving Turing Machines and languages. Gain insights into proving statements like the undecidabili

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Overview of Turing Machines: Introduction, Tape, and Computation

Turing Machines are fundamental in the theory of computation, capable of recognizing all computable languages. They consist of a Finite State Machine combined with an infinite tape. The tape is initialized with input on the left end, and a TM's computation can either halt by entering special accept

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Computation for Real Estate Sector in Bangalore Branch of ICAI

Practical overview of GST computation for real estate transactions in Bangalore, with details on old rates with ITC and new rate regime effective from April 1, 2019. The content discusses different transactions, conditions for new rates without ITC, and provides insights on the 80:20 computation met

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Fides: A System for Verifiable Computation Using Smart Contracts

Fides presents a system for verifiable computation using smart contracts, focusing on blockchain basics, Ethereum, smart contracts, and outsourcing computation. It explores key components of blockchain, Ethereum's decentralized computing platform, properties of smart contracts, and the concept of ve

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Insights into Secure Computation with Minimal Interaction

This paper revisits the concept of secure computation with minimal interaction, focusing on the challenges and possibilities of achieving secure multiparty computation in 2 rounds. Specifically exploring scenarios with 3 and 4 parties, the study delves into the reasons for choosing n=3, n=4, and t=1

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Theory of Computation: Decidability and Encoding in CSE 105 Class

Explore the concepts of decidability, encoding, and computational problems in CSE 105 Theory of Computation class. Learn about decision problems, encodings for Turing Machines, framing problems as languages of strings, and examples of computational problems and their encodings. Gain insights into th

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Overview of Income Computation and Disclosure Standards (ICDS)

The Income-tax Act, 1961 introduced Income Computation and Disclosure Standards (ICDS) to be followed by certain assesses for computation of income. ICDS applies to taxpayers using the mercantile system of accounting from the Assessment Year 2016-17 onwards. Non-compliance with ICDS can lead to Best

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Introduction to Recursive Definitions in The Theory of Computation

Explore recursive definitions in the realm of computation theory through examples like defining sets of even numbers, factorial language, palindrome strings, and more. Learn how to prove properties using recursive rules and construct languages with specific patterns and constraints.

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Understanding Computational Problems in Theory of Computation

Today's learning goals in the Theory of Computation class include understanding high-level algorithm descriptions, proving the existence of undecidable languages using counting arguments and diagonalization, and encoding inputs for Turing Machines. Computational problems can be reframed as languages

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Blackbox Verifiable Computation Scheme Overview

This summarized content discusses the concept of blackbox verifiable computation, focusing on the challenges faced by clients and servers, the role of helper oracles, positive results utilizing homomorphic encryption, and background information on Random Self Reducible (RSR) functions. The protocol

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Understanding Tree Data Structures in Computation

Explore the theory of computation trees, tree properties, and terminology including nodes, root, leaves, siblings, ancestors, descendants, and more. Learn about subtree representation, tree traversal methods, and the concept of binary trees in computing.

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Theory of Computation Fall 2017 Course Details and Guidelines

This content provides information about the Theory of Computation course offered in Fall 2017 at UCSD. It covers learning goals, introductions, the use of clickers, logistics including homework, exams, and office hours, tips on how to excel in the course with integrity, and guidelines on academic in

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Exploring Theory of Computation: Undecidability and Counting Arguments

Dive into the world of theory of computation with a focus on undecidability, counting arguments, and examples of non-Turing recognizable languages. Discover the intricacies of proving problems as undecidable and delve into the concepts of Turing-recognizable sets and deciders for complex computation

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Parallel Computation for Matrix Multiplication

Matrix multiplication is a fundamental operation with diverse applications across scientific research. Parallel computation for matrix multiplication involves distributing the computational workload over multiple processors, improving efficiency. Different algorithms have been developed for multiply

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Evolution of Algorithmic Game Theory in Computer Science

The evolution of Algorithmic Game Theory (AGT) in the realm of Computer Science showcases the intersection of economics and theoretical computation. Before 1995, notable researchers like von Neumann and Megiddo laid the foundation for AGT. Concepts such as computation as a game, bounded rationality,

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Theory of Computation Introduction: Dr. Abdulhussein M. Abdullah

Delve into the theory of computation with Dr. Abdulhussein M. Abdullah in the 2nd semester of 2017-2018. Explore the fundamental questions regarding what can be computed, computational problems, and the representation of information. Gain insights into computational models and computability, complex

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Understanding Branching Programs and Decision Trees in Computation

Branching Programs and Decision Trees serve as simple models for computation, exploring space and time complexity trade-offs. The dual terminology, encompassing Switching Networks to Binary Decision Diagrams, reveals the evolution of these models in complexity theory and formal verification.

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