Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · 2503.13970

CoreDPPL: Towards a Sound Composition of Differentiation, ODE Solving, and Probabilistic Programming

Oscar Eriksson·Anders Ågren Thuné·Johannes Borgström·David Broman
View original source ↗Read source document ↗Export metadata ↓

Abstract

In recent years, there has been extensive research on how to extend general-purpose programming language semantics with domain-specific modeling constructs. Two areas of particular interest are (i) universal probabilistic programming where Bayesian probabilistic models are encoded as programs, and (ii) differentiable programming where differentiation operators are first class or differential equations are part of the language semantics. These kinds of languages and their language constructs are usually studied separately or composed in restrictive ways. In this paper, we study and formalize the combination of probabilistic programming constructs, first-class differentiation, and ordinary differential equations in a higher-order setting. We propose formal semantics for a core of such differentiable probabilistic programming language (DPPL), where the type system tracks random computations and rejects unsafe compositions during type checking. The semantics and its type system are formalized, mechanized, and proven sound in Agda with respect to abstract language constructs.

Explore related subjects

cs.PL

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Oscar Eriksson, Anders Ågren Thuné, Johannes Borgström, David Broman. 2025-03-18. CoreDPPL: Towards a Sound Composition of Differentiation, ODE Solving, and Probabilistic Programming. https://arxiv.org/abs/2503.13970

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

On the computational complexity of JavaScript regex matching

Despite widespread use, the complexity of the matching problem for modern regular expressions languages remains unclear. Previous work proved that an idealized regular expression language with backreferences and lookarounds had PSPACE-complete matching. We extend this work to a real-world regex language by proving that JavaScript regex matching with expanded lower-bounded quantifiers is PSPACE-complete. We then generalize the result: we show that PSPACE-hardness survives the removal of negative lookarounds, and that removing all lookarounds leads to an OptP-complete parsing problem. Our core arguments are formalized in Rocq.

cs.PL↗
arXiv2026

Opportunistic ZGC: Leveraging Idle Cores for More Effective Concurrent Garbage Collection

Managed language runtimes often provide concurrent garbage collectors so that latency-critical applications with large working sets can keep running while most collection work proceeds in the background. ZGC is a production-quality, generational, concurrent collector in OpenJDK with sub-millisecond pause times. While ZGC is designed to run concurrently, frequent and excessive collections with ZGC can still slow the mutators due to synchronization costs and interference with shared computing resources. Hence, the ZGC scheduler is conservative by default, and in most cases, will grow the heap toward the maximum allowed before scheduling a collection. While this approach minimizes collection effort, it can be wasteful, or even harmful, if the maximum heap size is not well tuned to the actual working set. We propose Opportunistic ZGC (OppZGC), a feedback-directed ZGC scheduling policy that constrains the heap dynamically and automatically, without per-application tuning. OppZGC identifies periods when CPU cores are underutilized and leverages them for concurrent collection with ZGC. We describe the design and implementation of OppZGC in OpenJDK's HotSpot Java VM and evaluate it with standard and latency-sensitive benchmarks from DaCapo Chopin and SPECjbb. OppZGC limits heap usage when there is CPU capacity sufficient for additional collections, and avoids scheduling extra collections when they would substantially degrade performance. Overall, it reduces maximum heap usage for our DaCapo benchmarks by between 61% and 90%, on average, depending on configuration, with minimal impact on throughput and request latency compared to default ZGC.

cs.PL↗
arXiv2026

From Rocq to Metal: A Pipeline for Formally Verified Microcontroller Firmware

Enforcing invariants in safety-critical firmware is increasingly urgent as generated code becomes widespread, but standard extraction targets for proof assistants require runtimes too large for many embedded devices. We present a pipeline for running formally verified Rocq firmware logic on Cortex-M microcontrollers. The pipeline extracts Gallina to Scheme, compiles it with Encore!, a bare-metal Continuation Passing Style (CPS) bytecode virtual machine, and embeds the result in no_std Rust firmware. We structure applications as pure state-transition functions, so the business logic is proved in Rocq while the event/effect boundary, host callbacks, compiler, and VM remain explicit trusted components. On ST33-class targets with a 50 KB RAM lower bound, Encore! executes Rocq-extracted code end-to-end, stays within the target memory budget on our benchmarks, and validates a transaction-signing application on physical Ledger Flex hardware.

cs.PL↗