foryourhealth111-pixel
Install Cs Foundations
Pick your agent. Every command is ready to paste.
npx skills add foryourhealth111-pixel/Vibe-Skills --skill cs-foundationsThe open skills CLI detects your agents (Claude Code, Cursor, Codex and 70+ more) and installs to the right folder. Add -g to install globally.
01
Install it
Run the command above, or upload the folder in Claude.
02
Ask naturally
Describe the task. Your agent loads cs-foundations when the request matches its description.
03
Name it if needed
If it does not trigger, say “use the cs-foundations skill”. In Codex, type $cs-foundations.
CS Foundations Skill
Skill Metadata
skill_config:
version: "1.0.0"
category: theoretical
prerequisites: []
estimated_time: "6-8 weeks"
difficulty: intermediate
parameter_validation:
topic:
type: string
enum: [logic, proofs, sets, functions, combinatorics, number-theory, graphs]
required: true
depth:
type: string
enum: [intro, standard, advanced]
default: standard
retry_config:
max_attempts: 3
backoff_strategy: exponential
initial_delay_ms: 500
observability:
log_level: INFO
metrics: [topic_usage, proof_verification_rate, exercise_completion]
Quick Start
Computer science is built on mathematics. Master these fundamentals:
Core Topics
Discrete Mathematics
- Set theory and operations
- Logic and proof techniques
- Combinatorics and counting
- Number theory basics
- Relations and functions
Computational Thinking
- Problem decomposition
- Abstraction and generalization
- Pattern recognition
- Algorithmic thinking
Formal Logic
- Propositional logic
- Predicate logic
- Proof by induction
- Truth tables and logical equivalence
Learning Path
Week 1: Logic Basics
- Boolean algebra
- Truth tables
- Logical operators
- Inference rules
Week 2: Proof Techniques
- Direct proof
- Proof by contradiction
- Mathematical induction
- Strong induction
Week 3: Set Theory
- Set operations (∪, ∩, complement)
- Cartesian product
- Relations
- Equivalence relations
Week 4: Functions
- Function notation
- Domain, codomain, range
- One-to-one and onto
- Function composition
Week 5: Combinatorics
- Counting principles
- Permutations
- Combinations
- Pigeonhole principle
Week 6: Number Theory
- Modular arithmetic
- Prime numbers
- GCD and Euclidean algorithm
- Congruence
Practice Problems
- Prove by induction that 1+2+...+n = n(n+1)/2
- Prove √2 is irrational
- Show A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
- Count functions from {1,2,3} to {a,b}
- Solve: x ≡ 5 (mod 12) and x ≡ 3 (mod 8)
Troubleshooting
| Issue | Root Cause | Resolution |
|---|---|---|
| Proof stuck | Missing case or wrong direction | Check base case, verify induction step |
| Set operation confusion | ∪ vs ∩ mix-up | Draw Venn diagram |
| Counting error | Overcounting duplicates | Distinguish P(n,r) vs C(n,r) |
| Modular arithmetic error | Forgot wraparound | Work with remainders explicitly |
Key Concepts
- Axioms: Statements we assume true
- Theorems: Statements we prove
- Lemmas: Helper theorems
- Corollaries: Results that follow easily
Why It Matters
These foundations enable:
- Understanding algorithm correctness
- Analyzing computational complexity
- Designing new algorithms
- Proving algorithm properties
- Understanding what's computable
Interview Prep
- Explain mathematical induction
- Prove that a function is injective
- Count permutations with constraints
- Solve modular equations
- Apply pigeonhole principle
Tips for Cs Foundations
- • Start a fresh session after installing so your agent picks up the new skill.
- • This skill ships scripts. Read them before the first run, and run it in a project without secrets first.
- • It bundles reference files. The agent reads them only when needed, so they cost no context until then.
- • It is part of a pack with 30 skills. Install only the ones you need with --skill to keep triggers precise.
- • If two skills overlap, mention the one you want by name.
Questions about Cs Foundations
What does the Cs Foundations skill do?
Master discrete mathematics, logic, formal proofs, and computational thinking. Build the mathematical foundation for all computer science.
How do I install Cs Foundations?
Run "npx skills add foryourhealth111-pixel/Vibe-Skills --skill cs-foundations" in your project. The skills CLI installs it for Claude Code, Cursor, Codex and 70+ other agents. In Claude on the web, upload the skill folder as a ZIP under Customize > Skills.
Does Cs Foundations work in Cursor and Codex?
Yes. Cs Foundations uses the open SKILL.md format, so it works in Claude Code, Claude, Cursor, OpenAI Codex, Gemini CLI, GitHub Copilot and other agents that support agent skills.
Is Cs Foundations free?
Cs Foundations is open source on GitHub under the Apache-2.0 license. It is free to install; check the license before commercial use.
Who made Cs Foundations?
Cs Foundations is published by foryourhealth111-pixel in the foryourhealth111-pixel/Vibe-Skills repository, together with 29 other skills.
