Logic for Computer Science
Coursera
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.
More resources on Logical Foundations of Mathematics
nLab: Foundations of Mathematics
Modern perspectives including HoTT
Mathematical Logic Playlist
Introductory series on logic foundations from Reddit recs
Introduction to Mathematical Logic
Learn the foundations of mathematical logic with this introductory course by Scott Aaronson. Explore the logical basis of mathematics!
Mathematical Logic
Learn mathematical logic with Hans-Peter Beck! Explore the logical foundations of mathematics in this comprehensive course.
How to Prove It - Daniel J. Velleman
A clear, step-by-step transition from computational math to proof-based math, focusing on logic and set theory.
plato.stanford.edu
Stanford Encyclopedia of Philosophy is a peerâreviewed, open online encyclopedia of philosophy with inâdepth, expertâwritten articles. It covers logical foundations of mathematics (logic, set theory, model theory, type theory) and related topics, each with extensive bibliographies.
