Foundational Logic for Computer Science

To go beyond just writing code that runs and start designing systems that are provably correct, you need to understand the language of logic. This course is your practical introduction to the formal reasoning skills that power modern computing. You will move from basic logical statements to constructing formal proofs, learning to analyze problems with precision and clarity. By the end, you'll have the mental toolkit to reason about algorithms, database queries, and program behavior in a structured and rigorous way. What you'll learn: - Learn the fundamentals of propositional logic, including truth tables, connectives, and logical equivalences. - Master predicate logic to work with quantifiers, variables, and relations in more complex statements. - Practice essential proof techniques like direct proof, proof by contradiction, and mathematical induction. - Understand the direct application of boolean algebra in digital circuit design. - Apply logical reasoning to analyze the structure of database queries and the basics of program correctness. - Develop your computational thinking skills to break down and solve technical problems systematically. The course begins with the core building blocks of logical statements before advancing to formal proofs and their practical applications. Each concept is explained through clear text and reinforced with written exercises to solidify your understanding. This course is designed for aspiring programmers and computer science students. No prior experience in formal logic or advanced mathematics is required. Start building your foundation in logical reasoning today.