Discover **Probabilistic Context-Free Grammars (PCFG)**: assign probabilities to rules to generate varied, controlled music or text. Essential for BP3!
B3) Derivation Rules
Discover the 7 BP3 derivation modes and how these strategies transform a grammar into a dynamic and expressive musical generator. Master musical generation.
L17) The Complexity Matrix
Discover the complexity matrix, revealing the differential coupling between generation and parsing. Understand why their asymmetry isn’t just O(n) vs O(n³).
L15) The Formulas of Asymmetry
Generation-parsing asymmetry is mathematical. Discover key formulas: O(n) complexity, Catalan numbers, surprisal. Understand its 6 fundamental dimensions.
L14) The Direction of Parsing
Generation is always top-down. But parsing (LL, LR) has unique directional freedom. Discover this fundamental asymmetry, essential for compilers.
L13) Generate or Recognize
Explore the duality of grammars: generation vs. recognition. Why is producing easier than analyzing? Discover this key asymmetry in linguistics and music.