6120a Discrete Mathematics And Proof For Computer Science Fix
CS 6120
It sounds like you're looking for help with a specific course or module, likely (often titled "Mathematics for Computer Science" or "Discrete Mathematics and Proofs"). This course is famously challenging because it moves away from "calculating" and toward "proving"—essentially teaching you how to think like a computer scientist.
The course code (often associated with ) focuses on the mathematical foundations necessary for advanced computer science. The primary goal is to master formal mathematical proofs CS 6120 It sounds like you're looking for
The Three Fatal Errors (and their fixes)
- Assume the opposite of what you want to prove.
- Derive a logical impossibility (e.g.,
True ∧ False or 0 = 1).
- Conclude your original statement must be true.
Definition 4: Proposition
Recursion:
Fixpoints provide the mathematical definition for recursive functions, ensuring they eventually terminate or reach a stable state. Assume the opposite of what you want to prove
- Counting principles: sum rule, product rule, inclusion-exclusion.
- Permutations (ordered arrangements) and combinations (unordered).
- Binomial theorem, binomial coefficients, Pascal’s triangle.
- Pigeonhole principle (simple and generalized).
- Recurrence relations: Fibonacci, Tower of Hanoi; solving linear recurrences.
- Direct proof
- Proof by contrapositive
- Proof by contradiction
- Proof by cases
- Mathematical induction (ordinary and strong)
- Structural induction (for recursively defined structures)
6120A: Discrete Mathematics and Proof for Computer Science