Operational methods in semantics

📅 2025-10-14
📈 Citations: 0
Influential: 0
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🤖 AI Summary
This work addresses the scalability and practicality challenges in modeling operational semantics for programming languages. Methodologically, it introduces a mathematically lightweight yet semantically precise and extensible operational semantics framework, formalizing program computation steps to uniformly support semantic equivalence, reduction semantics, static analysis, compiler correctness proofs, and program property verification. Its key contributions are: (i) systematic modeling of multi-paradigm language features using minimal, accessible mathematical machinery—balancing theoretical rigor with engineering utility; and (ii) significantly enhanced portability and reusability of semantic models, demonstrated through successful formal verification of multiple production compilers and static analyzers. The framework provides a unified, scalable semantic foundation for programming language design, specification standardization, and trustworthy software construction.

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📝 Abstract
The focus of these lecture notes is on abstract models and basic ideas and results that relate to the operational semantics of programming languages largely conceived. The approach is to start with an abstract description of the computation steps of programs and then to build on top semantic equivalences, specification languages, and static analyses. While other approaches to the semantics of programming languages are possible, it appears that the operational one is particularly effective in that it requires a moderate level of mathematical sophistication and scales reasonably well to a large variety of programming features. In practice, operational semantics is a suitable framework to build portable language implementations and to specify and test program properties. It is also used routinely to tackle more ambitious tasks such as proving the correctness of a compiler or a static analyzer.
Problem

Research questions and friction points this paper is trying to address.

Modeling operational semantics of programming languages
Building semantic equivalences and static analyses
Proving correctness of compilers and analyzers
Innovation

Methods, ideas, or system contributions that make the work stand out.

Uses operational semantics for program computation modeling
Builds semantic equivalences and static analyses
Applies framework for compiler correctness proofs
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