> For the complete documentation index, see [llms.txt](https://docs.algenta.ai/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.algenta.ai/systems-and-infrastructure-kernels.md).

# Systems & infrastructure kernels

- [Data structures and algorithms kernels](https://docs.algenta.ai/systems-and-infrastructure-kernels/data-structures-and-algorithms-kernels.md): Binary heaps, a priority queue and circular buffer, a byte-level trie, six sorting algorithms, and sorted-list set operations -- pure-Mojo replacements for heapq, queue, pygtrie, sort, and set.
- [Bit-level and hashing kernels](https://docs.algenta.ai/systems-and-infrastructure-kernels/bit-level-and-hashing-kernels.md): Bit-twiddling primitives, non-cryptographic checksums and check digits, a counting Bloom filter, counter-based Philox4x64-10 random draws, and perceptual image hashing for near-duplicate detection.
- [Caching and persistence kernels](https://docs.algenta.ai/systems-and-infrastructure-kernels/caching-and-persistence-kernels.md): A TTL cache with hit-rate tracking, an in-memory table/query engine, a key-value store with snapshot/restore, and closed-form memory-sizing arithmetic for pools, allocators, and transformer training.
- [Encoding and cryptography kernels](https://docs.algenta.ai/systems-and-infrastructure-kernels/encoding-and-cryptography-kernels.md): Categorical data encoding, closed-form sizing arithmetic for block-cipher modes, classical-cryptanalysis statistics, and closed-form blockchain/consensus metrics — none of which perform an actual cryp
- [Networking and social graph kernels](https://docs.algenta.ai/systems-and-infrastructure-kernels/networking-and-social-graph-kernels.md): HTTP/URL protocol primitives, undirected and directed graph-metric arithmetic over adjacency lists, and the scalar cost formulas behind multi-GPU collective communication.
- [Reliability and observability kernels](https://docs.algenta.ai/systems-and-infrastructure-kernels/reliability-and-observability-kernels.md): Distributed-training checkpoint/recovery math, LLM-serving health metrics, a structured JSON logger, classical MTBF/Weibull reliability engineering, and perturbation-based sensitivity analysis -- five
- [Scheduling and rate-limiting kernels](https://docs.algenta.ai/systems-and-infrastructure-kernels/scheduling-and-rate-limiting-kernels.md): OS-course CPU scheduling algorithms and their metrics, stateless queue/backpressure/rate-limit scoring formulas, three independent token-bucket-family rate limiters, LLM-inference latency micro-optimi
- [Governance and workflow kernels](https://docs.algenta.ai/systems-and-infrastructure-kernels/governance-and-workflow-kernels.md): Petri net formalism primitives, real differential-privacy mechanisms, model/audit governance scoring, ESG carbon-accounting arithmetic, and the scalar primitives behind a DAG workflow orchestrator --
- [Utility and control primitive kernels](https://docs.algenta.ai/systems-and-infrastructure-kernels/utility-and-control-primitive-kernels.md): Package-dependency graph resolution, portfolio/Kelly-criterion allocation, statistical anomaly detection, backtracking constraint satisfaction, PID/control-theory step-response math, and numerical (no
- [System I/O and serialization kernels](https://docs.algenta.ai/systems-and-infrastructure-kernels/system-io-and-serialization-kernels.md): Environment-variable access, pure-string path and URL parsing, weighted/stratified random sampling, MessagePack binary serialization, and the histogram/dedup pair a richer, mostly-undispatchable conta
- [Streaming, structured output, and time kernels](https://docs.algenta.ai/systems-and-infrastructure-kernels/streaming-structured-output-and-time-kernels.md): Nine unrelated infrastructure primitives grouped only by being what is left over -- windowed stream aggregates, LLM structured-output scoring, time-zone/date/unit conversion, glob and template string


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