Delve into the world of FAEST, a post-quantum signature scheme, with a focus on publicly verifiable zero-knowledge proofs. The presentation covers VOLE-in-the-Head, families of ZK proofs, and the application of VOLE in creating VOLE-ZK proofs. Learn about the background of VOLE, its use in the desig

1 views • 26 slides

Logic, as a normative study, focuses on distinguishing correct reasoning from incorrect. Traditional logic, based on Aristotle's work, emphasized syllogistic reasoning, while modern logic, pioneered by figures like Leibnitz and Russell, employs mathematical methods and symbolic logic for a more adva

0 views • 10 slides

Register Transfer Language is a symbolic notation used to describe the micro-operations transferring data among registers in computer organisation. It signifies the availability of hardware logic circuits to perform specified micro-operations and transfer results between registers. Register Transfer

6 views • 7 slides

Generate the complete symbolic execution tree for a given program by annotating nodes with path constraints and line numbers, aiding in understanding program execution flow.

0 views • 26 slides

Delve into the fascinating world of the Haida, a Native American group from the Pacific Northwest Coast known for their intricate art, symbolic designs, and rich mythological heritage. Discover how Haida symbols capture important events in their history, explore their unique tattooing traditions, an

0 views • 8 slides

Join Shirley Ho at the ACM Learning event to delve into the world of symbolic equations with deep learning. Discover insights on leveraging deep learning for symbolic equations and engage in a knowledge-packed session tailored for scientists, programmers, designers, and managers.

0 views • 5 slides

Delve into the world of symbolic thinking through the eyes of renowned artist René Magritte and explore how symbols shape our perception and understanding of the world. From dissecting Magritte's iconic painting to unraveling the intricacies of language as a symbolic system, journey through the int

1 views • 15 slides

In this collection of images, various mathematical concepts are visually presented, including definitions, theorems, and proofs. The slides cover a range of topics in a structured manner, providing a concise overview of key mathematical principles. From foundational definitions to detailed proofs, t

0 views • 12 slides

Indirect proofs offer a roundabout approach to proving statements, with argument by contradiction and argument by contraposition being the main techniques. Argument by contradiction involves supposing the statement is false and deriving a contradiction, while argument by contraposition relies on the

0 views • 18 slides

Explore algebraic proofs, equations solving techniques, and properties of equality through examples. Learn about the distributive property, temperature conversion, and problem-solving applications in algebra. Enhance your understanding of logic and algebraic reasoning.

0 views • 30 slides

Symbolic Interactionism is a school of thought in sociology that focuses on how individuals interact with each other through symbols, shaping social structures. It highlights the role of symbols in defining actions and meanings in social interactions. The concept explores how different socializing e

0 views • 18 slides

Sociologists employ three primary theoretical perspectives to explain how society influences young people and vice versa: the symbolic interactionist perspective, the functionalist perspective, and the conflict perspective. Symbolic interactionism focuses on symbols and face-to-face interactions, wh

1 views • 18 slides

Explore the principles of direct proof in discrete mathematics through a Peer Instruction approach by Dr. Cynthia Bailey Lee and Dr. Shachar Lovett. Learn how to prove theorems of the form "if p, then q" using logical rules, algebra, and math laws. Utilize a clear template for direct proofs, practic

0 views • 17 slides

Dive into the world of direct proofs in discrete math with this comprehensive guide. Learn how to prove implications, create truth tables, and follow a step-by-step direct proof template. Test your understanding with engaging quizzes and practical examples. Master the art of logical reasoning and fo

0 views • 18 slides

Cryptography has evolved from classical proofs to interactive and probabilistically checkable proofs, enabling the development of applications like Non-Malleable and Chosen-Ciphertext Secure Encryption Schemes. Non-Malleability protects against active attacks like malleability and chosen-ciphertext

0 views • 29 slides

Explore the various aspects of post-quantum cryptography security, including evaluation criteria, building public key cryptography (PKC) systems, security proofs, digital signatures, and reduction problems. Dive into topics such as performance, cryptanalysis, provable security, standard models, exis

0 views • 42 slides

Delve into the world of symbolic logic where traditional and modern approaches differ. Learn how symbolic languages help overcome challenges with natural languages, leading to a clearer understanding of deductive reasoning through the analysis of premises, conclusions, compound statements, and logic

1 views • 32 slides

Explore various proof techniques in mathematics including direct proofs, proofs by cases, proofs by contrapositive, and examples showing how to prove statements using algebra, definitions, and known results. Dive into proofs involving integers, even and odd numbers, and more to enhance your understa

2 views • 13 slides

The paper presents practical and statistically sound proofs of exponentiation in any group. It discusses the computation process, applications in verifiable delay functions and time-efficient arguments for NP, as well as interactive protocols and the overview of PoEs. The research contributes a stat

0 views • 18 slides

Logic is the study of reasoning methods to distinguish between correct and incorrect arguments. Symbolic Logic involves representing logic symbolically for easier understanding and manipulation. Logical inferences help in making decisions based on reasoning chains. The content discusses the use of l

1 views • 28 slides

Explore key concepts in algebra and geometry reasoning, including properties of equality, distributive property, and proofs using deductive reasoning. Practice solving equations, identifying properties of congruence, and writing two-column proofs to justify mathematical statements.

0 views • 13 slides

The paper discusses the implausibility of constant-round public-coin zero-knowledge proofs, exploring the limitations and complexities in achieving them. It delves into the fundamental problem of whether such proofs exist, the challenges in soundness error reduction, and the difficulties in parallel

0 views • 20 slides

Explore self-explanation training techniques to enhance students' understanding of mathematical proofs. Dive into key concepts such as definitions, worked examples, theorems, and proofs, focusing on intuitive learning methods and practical applications.

0 views • 27 slides

Explore the architecture of proof assistants, discussing the use of tactics, formal proofs, and the difficulty in utilizing these tools. Discover the contribution of a new architecture for proof assistants, addressing extensibility and error checking, with a focus on soundness guarantees. Delve into

0 views • 41 slides

This presentation by Bamidele Oluwade explores the research on mythological cosmology, aiming to provide scientifically valid proofs for metaphysical phenomena through mathematical models and standard methods of proof in mathematics, supported by scientific/thought experiments and results from vario

0 views • 45 slides

The research discusses securing multiparty online services through the certification of symbolic transactions, addressing logic flaws and the importance of program verification. The Certification of Symbolic Transaction (CST) approach is presented as an effective way to verify system-wide properties

0 views • 22 slides

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

0 views • 21 slides

Recent developments in interactive proofs focus on enhancing the efficiency of computations outsourced to untrusted servers, addressing concerns related to correctness and privacy. Solutions like doubly efficient interactive proofs offer a secure way to delegate computations while minimizing relianc

0 views • 25 slides

Exhaustive proofs and proofs by cases are essential methods in discrete mathematics for proving theorems. Exhaustive proofs involve checking all possibilities, while proof by cases focuses on considering different scenarios separately. The methods are illustrated through examples like proving (n+1)^

0 views • 8 slides

Reading and understanding mathematical proofs involves careful analysis of logic and reasoning. Mathematicians and students use various strategies to ensure correctness, such as examining assumptions, following step-by-step logic, and verifying conclusions. This process is crucial for grasping the v

1 views • 79 slides

Explore the development of proofs in computer science, from classical mathematical proofs to interactive and zero-knowledge proofs pioneered by researchers like Goldwasser, Micali, Rackoff, and others. Discover how proof theory has evolved over time, making computation verification more efficient an

0 views • 28 slides

The research explores techniques for securely delegating computations to the cloud, addressing concerns of correctness and privacy through interactive proofs and efficient verification methods. It compares classical and doubly efficient interactive proofs, emphasizing the importance of computational

0 views • 43 slides

Metamath is a computer language designed for representing mathematical proofs. With several verifiers and proof assistants, it aims to formalize modern mathematics using a simple foundation. The Metamath-100 project is focused on proving a list of 100 theorems, with significant progress made in prov

0 views • 17 slides

Symbolic Execution is a method used for analyzing programs to determine inputs causing each part to execute, vital in program testing. However, limitations arise in cases without code availability, hindering definitive path conditions. Directed Automated Random Testing (DART) overcomes this through

0 views • 20 slides

Explore the evolution of proofs in computer science focusing on succinct zero-knowledge proofs, their significance, and impact on Bitcoin protocol and public ledgers. Learn about classical proofs, zero-knowledge proofs by Goldwasser-Micali-Rackoff, and interactive proofs in the realm of computer sci

0 views • 40 slides

Dive into the realm of predicate logic and quantifiers, exploring the nuances of symbolic proofs and evaluating logical statements. Learn about bound variables, domain considerations, and strategies for constructing iron-clad proofs using quantifiers.

0 views • 36 slides

Explore the concept of non-interactive quantum zero-knowledge proofs with Dominique Unruh at the University of Tartu. Discover how these proofs ensure verifier acceptance of true statements while learning nothing, and delve into the various implementations and implications of Quantum NIZK proofs wit

0 views • 19 slides

Exploring zero-knowledge proofs in cryptography, this content delves into interactive protocols, perfect zero-knowledge definitions, and the QR protocol's honest verifier and malicious verifier zero-knowledge theorems. It discusses how simulators work to maintain zero-knowledge properties and the si

0 views • 37 slides

The lecture covers theorems on convergent sequences, including the convergence of monotonic increasing and decreasing sequences when bounded. Detailed proofs for these theorems are provided, along with examples to determine if a sequence is bounded. The presentation includes step-by-step explanation

0 views • 6 slides

Delve into the realm of interactive proofs in complexity theory, exploring concepts such as completeness, soundness, and efficiency. Discover how interactive proof systems can be utilized in scenarios like graph isomorphism and their implications on the complexity classes NP and coNP. Uncover the in

0 views • 40 slides