Artificial Intelligence: Knowledge Representation and Reasoning
Explore knowledge representation and reasoning in AI, covering logic, rule-based systems, natural language semantics, and advanced topics like circumscription and epistemic logic.
The Ultimate Guide to Propositional Logic for Discrete Mathematics
Comprehensive guide to propositional logic in discrete mathematics, covering key concepts, truth tables, logical equivalence, and practical applications with exercises for reinforced learning.
Basics of Discrete Mathematics
Explore set theory, relations, functions, counting principles, and propositional logic in this comprehensive introduction to discrete mathematics, essential for computer science and AI.
Safety and Liveness of Robot Behaviors
Explore formal methods for designing robots, guaranteeing behavior, and identifying potential issues. Learn about safety and liveness properties in robotic systems, including multi-robot and human-robot interactions.
The Longest Mathematical Proof Ever: Exploring Schur Number Five
Dive into the world's longest mathematical proof, exploring Schur number five and its 2-petabyte size. Uncover propositional logic, SAT solvers, and proof verification in this fascinating journey.
Privacy-preserving Automated Reasoning
Explore privacy-preserving formal reasoning techniques, including ppSAT solver and zero-knowledge protocols for Boolean formula unsatisfiability, advancing automated verification while maintaining data privacy.
Mathematical Logic
Explore statements, propositions, connectives, truth tables, tautology, and contradiction in mathematical logic.
Discrete Math I
Comprehensive exploration of discrete mathematics, covering logic, sets, functions, algorithms, number theory, induction, counting, probability, relations, and graphs with practical applications.
Maths Chapter 1 University Freshman
Explore propositional logic, compound propositions, tautologies, and contradictions in this comprehensive introduction to mathematical reasoning for university freshmen.
The Limits of Proof
Explore proof systems, from classical logic to modern computational approaches, examining their strengths, limitations, and applications in mathematics and computer science.
The Holy Grail of Propositional Logic - MathFoundations - N J Wildberger
Explore mechanized reasoning in propositional logic through Boole's Algebra, featuring two solutions to a Sir Galahad puzzle: Boole Reduction and Boole-Mobius transform.
Replacing Truth Tables and Boolean Equivalences - N J Wildberger
Explore the Algebra of Boole as a mathematical framework for propositional logic, replacing truth tables with simpler computations using 0's and 1's to verify logical statements.
Propositional Logic and the Algebra of Boole - N J Wildberger
Overview of propositional logic, exploring atomic statements, connectives, truth values, and techniques for analysis. Covers tautologies, contradictions, truth tables, and equivalences, with a focus on Boole's algebraic approach.
Inference Rules via the Algebra of Boole - MathFoundations 275
Explore propositional logic inference rules using Boolean algebra, simplifying complex logical concepts and eliminating the need for memorization. Includes application to a Lewis Carroll puzzle.
Aristotle's Syllogisms Revisited with the Algebra of Boole - MathFoundations 280
Explore Aristotle's syllogisms through modern propositional logic and Boolean algebra, offering new insights into classical reasoning and its contemporary applications.
An Introduction to Mathematical Logic
Explore fundamental concepts of mathematical logic, including propositional calculus, first-order logic, and formal reasoning techniques.
Money, Circuits, Mythic Figures, and More - Theory in the Allen School
Diverse theoretical computer science research: algorithms, data structures, complexity, combinatorics, and economics. Insights from UW Allen School's theory group on cutting-edge topics.
Great Ideas in Theoretical Computer Science: Deductive Systems
Explore deductive systems in theoretical computer science, covering topics like Hilbert's 10th problem, binary trees, propositional logic, and logical equivalence.
Trees for Logic and Parsing in C++
Explore efficient implementation of recursive tree-types in C++ for logic and parsing, with insights on construction, inspection, and replacement of subtrees.
The Essence of Testing
Explore the core principles of software testing, focusing on ScalaTest's evolution, propositional and predicate logic, and property-based testing advancements.
Logical Reasoning: Deductive Logic - Part 1
Explore inductive reasoning, propositional logic, and probabilistic inductive reasoning methods to enhance logical thinking and problem-solving skills.