B1) PCFG

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.

S10) Under the Hood

Explore the full BPscript pipeline: JS compiler, WebAssembly engine, resolver, and dispatcher. From .bp file to sound, its complete anatomy is detailed.

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).

L16) The Paradox of Bidirectionality

Reversible grammars are 50 years old. Why isn’t bidirectionality adopted? This article explores the structural reasons for this persistent asymmetry.

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.

L11) Beyond the Three Semantics

Classical semantics have limits. Explore advanced semantics: translational, process, and algebraic. Understand compilers, concurrent systems, and data types.