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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Overview of Distributed Systems: Characteristics, Classification, Computation, Communication, and Fault Models

Characterizing Distributed Systems: Multiple autonomous computers with CPUs, memory, storage, and I/O paths, interconnected geographically, shared state, global invariants. Classifying Distributed Systems: Based on synchrony, communication medium, fault models like crash and Byzantine failures. Comp

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Understanding Formal Languages and Automata Theory

This course delves into abstract models of computers and computation, offering essential concepts and principles for understanding the fundamental nature of the computer field. Exploring topics such as regular expressions, context-free grammars, and automata theory, students gain insights into the p

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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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Psychological Theories of Criminality: Understanding the Roots

Psychological theories of criminality delve into the association between intelligence, personality, learning, and criminal behavior. Major theories include Psychodynamic Theory by Freud, Behavioral Theory by Bandura, and Cognitive Theory by Kohlberg. These theories explore how unconscious mental pro

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Computation of Machine Hour Rate: Understanding MHR and Overhead Rates

Computation of Machine Hour Rate (MHR) involves determining the overhead cost of running a machine for one hour. The process includes dividing overheads into fixed and variable categories, calculating fixed overhead hourly rates, computing variable overhead rates, and summing up both for the final M

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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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Understanding Numerical Methods and Errors in Computation

Delve into the world of numerical methods through the guidance of Dr. M. Mohamed Surputheen. Explore topics such as solving algebraic and transcendental equations, simultaneous linear algebraic equations, interpolation, numerical integration, and solving ordinary differential equations. Learn about

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Theories of Causation in Psychological and Social Sciences

Overview of theories of causation categorized into psychological, social psychological, and sociological perspectives. Psychological theories focus on instinctive, biological, and psychological qualities of abusers, including Attachment Theory, Psychodynamic Theory, Social Learning Theory, and Situa

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Understanding Political Theory through a Contextual Approach

Exploring G.H. Sabine's perspective on political theory through a contextual approach, emphasizing the importance of historical context and societal influences. Sabine argues that while political theory evolves with its contemporary politics, it should be analyzed within its specific time and social

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Trust Income Computation and Application Guidelines

Learn about income computation of trusts using ITR-5 vs. ITR-7, types of institutions, components of income, application of income, and important guidelines including amendments by FA2022 for charitable and religious trusts.

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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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Dp-branes, NS5-branes, U-duality, and M-Theory Overview

Overview of Dp-branes, NS5-branes, and U-duality derived from nonabelian (2,0) theory with Lie 3-algebra. Introduction to M-theory, including M2-branes and M5-branes in the strong coupling limit. Discussion on BLG theory, Lorentzian Lie 3-algebra, and the ABJM theory for M2-branes.

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Secure Multiparty Computation: Enhancing Privacy in Data Sharing

Secure multiparty computation (SMC) enables parties with private inputs to compute joint functions without revealing individual data, ensuring privacy and correctness. This involves computations on encrypted data using techniques like homomorphic encryption for scenarios like e-voting. SMC serves as

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Understanding Sequence Alignment and Scoring Matrices

In this content, we dive into the fundamentals of sequence alignment, Opt score computation, reconstructing alignments, local alignments, affine gap costs, space-saving measures, and scoring matrices for DNA and protein sequences. We explore the Smith-Waterman algorithm (SW) for local sequence align

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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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Exploring Challenges and Opportunities in Processing-in-Memory Architecture

PIM technology aims to enhance performance by moving computation closer to memory, improving bandwidth, latency, and energy efficiency. Despite initial setbacks, new strategies focus on cost-effectiveness, programming models, and overcoming implementation challenges. A new direction proposes intuiti

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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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Understanding Time-Independent Perturbation Theory in Quantum Mechanics

Perturbation theory is a powerful tool in solving complex physical and mathematical problems approximately by adjusting solutions from a related problem with known solutions. This theory allows for more accurate approximate solutions by treating the difference as a small perturbation. An example inv

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Enhancing Mobile-Cloud Computing with Autonomous Agents Framework

Autonomous Agents-based Mobile-Cloud Computing (MCC) refers to moving computing tasks to powerful centralized platforms in the cloud, offering advantages like extending battery life and dynamic resource provisioning. However, an inflexible split of computation between mobile and cloud platforms lead

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Ethical Theories: Divine Command vs. Virtue Theory Explained

Divine Command Theory asserts that morality is derived from God's commands, contrasting with Virtue Theory which focuses on developing moral virtues to achieve human flourishing and excellence. Divine Command Theory relies on religious texts, while Virtue Theory emphasizes the cultivation of virtues

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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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Enhancing I/O Performance on SMT Processors in Cloud Environments

Improving I/O performance and efficiency on Simultaneous Multi-Threading (SMT) processors in virtualized clouds is crucial for maximizing system throughput and resource utilization. The vSMT-IO approach focuses on efficiently scheduling I/O workloads on SMT CPUs by making them "dormant" on hardware

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Understanding Fermi Liquid Theory in Interacting Fermion Systems

Fermi liquid theory, also known as Landau-Fermi liquid theory, is a theoretical model that describes the normal state of metals at low temperatures. Introduced by Landau and further developed by Abrikosov and Khalatnikov, this theory explains the similarities and differences between interacting ferm

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Bootstrapping in Fully Homomorphic Encryption

Fully Homomorphic Encryption (FHE) allows evaluation of unbounded-depth circuits without being limited by specific parameters. Bootstrapping is a critical technique to achieve full homomorphism by refreshing ciphertexts, enabling decryption functionalities within the encryption scheme. This process

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Homomorphic Encryption and RLWE Schemes Overview

Homomorphic encryption allows computation on encrypted data, enabling privacy in outsourced computing services and applications like spam filters for encrypted mail. The Ring Learning With Errors (RLWE) scheme and its properties are discussed, along with symmetric encryption from RLWE and fully homo

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Efficient Multi-Party Computation Techniques

Explore the innovative approaches to Multi-Party Computation (MPC) such as MPC via Fully Homomorphic Encryption (FHE) and Multi-Key FHE. The focus is on minimizing round complexity and achieving secure distributed computations. Learn about key concepts, protocols, and advancements in the realm of MP

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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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