Mathematical Logic for Computer Science and Formal Reasoning

How do we prove that a statement is absolutely true? In computer science, software engineering, and mathematics, formal logic is the bedrock of precise reasoning, algorithm design, and system verification. This course provides a clear, structured path to understanding how symbols and rules construct rigorous logical systems. You will transition from basic intuitive thinking to formal, mathematical proofs. Learn to analyze complex arguments, translate natural language into symbolic logic, and apply reasoning frameworks to solve abstract problems. What you'll learn: Understand the foundational concepts of propositional logic, including truth tables, tautologies, and logical equivalence; Learn to use first-order predicate logic with quantifiers to express complex mathematical statements; Practice formal proof techniques such as natural deduction, resolution, and mathematical induction; Apply logical reasoning to analyze the soundness and completeness of formal systems; Explore how modern logic intersects with computer science, including basic computability and formal verification concepts. The course begins with essential definitions and foundational terminology, establishing a solid conceptual base before guiding you through propositional calculus, predicate logic, and advanced proof systems. This course is designed for beginners, computer science students, and anyone interested in analytical reasoning, with no prior background in advanced mathematics required. Start building your foundation in formal reasoning and logical analysis today.