A mathematical proof is a deductive argument that uses axioms, theorems and accepted rules of inference to logically guarantee a conclusion. It must demonstrate that the statement is true in all possible cases, rather than just presenting many cases in which it holds. Proofs employ logic expressed in both mathematical symbols and natural language, and are studied in the philosophy of mathematics.

Stanford University

Winter 2023

CS 103 introduces mathematical logic, proofs, and discrete structures, paving the way to an understanding of computational problem-solving. It encourages a profound appreciation of mathematical beauty while addressing concepts like finite automata and regular expressions. CS106B is a prerequisite or corequisite. The course also incorporates programming assignments.

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