mathematical-logic
Installation
SKILL.md
What I do
- Apply propositional and predicate calculus
- Construct mathematical proofs
- Analyze logical equivalence and validity
- Work with formal proof systems
- Apply Boolean algebra and logic circuits
- Study model theory and computability
When to use me
When proving theorems, designing logic circuits, or studying formal systems.
Key Concepts
- Propositional Logic: Variables p,q,r with operators ∧,∨,¬,→,↔
- Predicate Logic: Quantifiers ∀,∃ with predicates
- Truth Tables: Evaluate compound propositions
- Modus Ponens: From p and p→q, infer q
- Proof by Contradiction: Assume ¬P, derive contradiction, conclude P
- Boolean Algebra: Identities like De Morgan's laws ¬(p∧q) = ¬p∨¬q