C++

Alga: Algebraic Text Processing with Fuzzy Matching

A mathematically elegant C++20 library for algebraic text processing and compositional parsing with fuzzy matching capabilities.

CBT: Computational Basis Transforms - A Unified Framework

A C++17 header-only library implementing Computational Basis Transforms - a unified framework for understanding how FFT, logarithmic arithmetic, and Bayesian inference are all instances of the same pattern.

libdis: Disjoint Interval Sets as a Complete Boolean Algebra

A modern C++ header-only library implementing disjoint interval sets as first-class mathematical objects with rigorous Boolean algebra operations.

Alea: A Modern C++ Library for Algebraic Random Elements

Alga: Algebraic Parser Composition through Monadic Design A C++20 Template Library for Type-Safe Text Processing

ZeroIPC: Transforming Shared Memory into an Active Computational Substrate

ZeroIPC transforms shared memory from passive storage into an active computational substrate, enabling functional and reactive programming paradigms across process boundaries with zero-copy performance.

Algebraic Composition for Streaming Data Reduction: A Type-Safe Framework with Numerical Stability

Algebraic Hashing A Modern C++20 Library for Composable Hash Functions Version 2.0

Cryptographic perfect hash functions: A theoretical analysis on space efficiency, time complexity, and entropy

maph: Maps Based on Perfect Hashing for Sub-Microsecond Key-Value Storage

PFC: Zero-Copy Data Compression Through Prefix-Free Codecs and Generic Programming

maph: Maps Based on Perfect Hashing for Sub-Microsecond Key-Value Storage

A high-performance key-value storage system achieving sub-microsecond latency through memory-mapped I/O, approximate perfect hashing, and lock-free atomic operations. 10M ops/sec single-threaded, 98M ops/sec with 16 threads—12× faster than Redis, 87× …

PFC: Zero-Copy Data Compression Through Prefix-Free Codecs

A header-only C++20 library that achieves 3-10× compression with zero marshaling overhead. PFC makes compression an intrinsic type property through prefix-free codes (Elias Gamma/Delta, Fibonacci, Rice), algebraic types, and Stepanov's generic …

Accumux: Compositional Online Statistical Reductions in C++

A modern C++20 library for compositional online data reductions with numerically stable algorithms and algebraic composition.

Algebraic Hashing: Composable Hash Functions Through XOR

Most hash libraries treat hash functions as black boxes. Algebraic Hashing exposes their mathematical structure, letting you compose hash functions like algebraic expressions—with zero runtime overhead.

The Core Insight

Hash functions form an abelian …