Notes on Classical & Intuistionistic Logic

Unorganized

Heyting Algebra

Law of Excluded Middle

(34)\[p \lor \neg{p}\]

Appendix

Table 1 Logical symbols

Symbol

Meaning

\(\to\)

Implication

\(\equiv\)

Equivalent

\(\neg\)

Negation

\(\wedge\)

Conjunction (and)

\(\lor\)

Disjunction (or)

\(\oplus\)

Exclusive disjunction (xor)

\(\top\)

Tautology, Truth

\(\bot\)

Contradiction, Falsum

\(\forall\)

Universal quantifier (for all)

\(\exists\)

Existential quantifier (there exists)

\(\exists !\)

Uniqueness quantifier (there exists only one)

\(:=\)

Definition

\(\vdash\)

Turnstile (entailment, proves)

\(\vDash\)

Double turnstile (models, semantic entailment)