Specification and Verification for Climate Modeling: Formalization Leading to Impactful Tooling
Year: 2025
Type: article
Abstract: Earth System Models (ESMs) are critical for understanding past climates and projecting future scenarios.However, the complexity of these models, which include large code bases, a wide community of developers, and diverse computational platforms, poses significant challenges for software quality assurance.The increasing adoption of GPUs and heterogeneous architectures further complicates verification efforts.Traditional verification methods often rely on bitwise reproducibility, which is not always feasible, particularly under new compilers or hardware.Manual expert evaluation, on the other hand, is subjective and time-consuming.Formal methods offer a mathematically rigorous alternative, yet their application in ESM development has been limited due to the lack of climate model-specific representations and tools.Here, we advocate for the broader adoption of formal methods in climate modeling.In particular, we identify key aspects of ESMs that are well suited to formal specification and introduce abstraction approaches for a tailored framework.To demonstrate this approach, we present a case study using CIVL model checker to formally verify a bug fix in an ocean mixing parameterization scheme.Our goal is to develop accessible, domain-specific formal tools that enhance model confidence and support more efficient and reliable ESM development.
DOI: 10.4204/eptcs.432.8
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
SDG: Climate action
Open Access status: diamond
Awards: The Management and Operation of the National Center for Atmospheric Research, Collaborative Research: SHF: Medium: SCIOPT: Toward Certifiable Compression-Aware SciML Systems, Collaborative Research: SHF: Medium: Practical and Rigorous Correctness Checking and Correctness Preservation for Irregular Parallel Programs, Collaborative Research: FMitF: Track-1: Correctness at Both Ends: Rigorous ML Meets Efficient Sparse Implementations, Collaborative Research: PPoSS: Large: A Comprehensive Framework for Efficient, Scalable, and Performance-Portable Tensor Applications, Collaborative Research: CIRC: Medium: New: Workbench for Reliable and Efficient Numerics, Collaborative Research: CS2: DANUBE: Formal Methods for Scientific Computing Bridging the Data-Numerics Behavior Tug-of-War
OpenAlex ID: W4415169303
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