mathworld.wolfram.com
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MathWorld is Wolframâs comprehensive online mathematics encyclopedia. It provides in-depth, tutorial-style articles on topics across mathematicsâsuch as algebra, geometry, logic, and formal systemsâcomplete with definitions, formulas, diagrams, and cross-references.
More resources on Formal Systems
nLab: Formal System
Category-theoretic perspective on formal systems.
Open Logic Project
Free open-source textbooks on logic including formal systems.
Stanford Encyclopedia of Philosophy: Proof Theory
Comprehensive entry on formal proof systems.
Introduction to Logic
Learn the fundamentals of logic and formal systems with this introductory course. Explore reasoning principles and problem-solving techniques.
Logic for Computer Science
Unlock the power of logical thinking and formal reasoning essential for success in computer science, data analysis, and software development with this dynamic course. Ideal for students, software engineers, data scientists, and IT professionals, this comprehensive program delves into logic foundations critical for advanced computing careers. Starting with fundamental proofs and proof systems, youâll explore soundness, completeness, first-order propositional, and predicate logic. Dive into advanced topics like modeling, program verification, and temporal logic. Master Gentzenâs natural deduction, and understand the semantics and syntax of logical forms. Tackle the undecidability of logic and learn model checking using temporal logics (LTL, CTL, CTL*) to verify system properties, applying Floyd-Hoare logics to ensure program correctness. Our structured approach incorporates practical techniques to enhance memory and overcome procrastination, benefiting both academic learning and professional efficiency. Engaging case studies offer hands-on experience verifying algorithms, such as array searching and sorting, essential for real-world problem solving. Geared towards those aiming for roles in tech innovation, this course equips you with the analytical tools and logical proficiency to excel in computing, programming, and data-driven problem-solving. Elevate your career and expertise in the ever-evolving technology landscape.
plato.stanford.edu
Stanford Encyclopedia of Philosophy (plato.stanford.edu) is an open-access, peer-edited reference offering in-depth, scholarly articles on philosophy topics, including formal systems, logic, and the foundations of mathematics.