Mechanized semantics - with applications to program proof and compiler verification

@inproceedings{Leroy2010MechanizedS,
  title={Mechanized semantics - with applications to program proof and compiler verification},
  author={Xavier Leroy},
  booktitle={Logics and Languages for Reliability and Security},
  year={2010}
}
  • X. Leroy
  • Published in
    Logics and Languages for…
    26 October 2010
  • Computer Science
syntax Inductive expr : Type := | Evar: ident -> expr | Econst: Z -> expr | Eadd: expr -> expr -> expr | Esub: expr -> expr -> expr. Inductive bool_expr : Type := | Bequal: expr -> expr -> bool_expr | Bless: expr -> expr -> bool_expr. Inductive cmd : Type := | Cskip: cmd | Cassign: ident -> expr -> cmd | Cseq: cmd -> cmd -> cmd | Cifthenelse: bool_expr -> cmd -> cmd -> cmd | Cwhile: bool_expr -> cmd -> cmd. X. Leroy (INRIA) Mechanized semantics Marktoberdorf 2009 29 / 173 

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References

SHOWING 1-10 OF 92 REFERENCES

Oracle Semantics for Concurrent Separation Logic

This work defines a modular operational semantics for Concurrent C minor--a language with shared memory, spawnable threads, and first-class locks, and proves its soundness with respect to the operational semantics and proved the sequential C.S.L. rules (those inherited from sequential Separation Logic) simply by adapting Appel & Blazy's machine-checked soundness proofs.

On the Relationship Between Concurrent Separation Logic and Assume-Guarantee Reasoning

This work shows that CSL (adapted for the low-level language) can be viewed as a specialization of the extended A-G logic by enforcing the invariant that "shared resources are well-formed outside of critical regions".

Separation Logic for Small-Step cminor

This paper gives a small-step semantics (instead of the big-step of the proved-correct compiler) that is motivated by the need to support future concurrent extensions of Cminor, and detail a machine-checked proof of soundness of the authors' Separation Logic.

A machine-checked model for a Java-like language, virtual machine, and compiler

Jinja is a compromise between the realism of the language and the tractability and clarity of its formal semantics, and provides a unified model of the source language, the virtual machine, and the compiler.

Verified Software Toolchain - (Invited Talk)

The Verified Software Toolchain verifies with machine-checked proofs that the assertions claimed at the top of the toolchain really hold in the machine-language program, running in the operating-system context, on a weakly-consistent-shared-memory machine.

Theorem proving support in programming language semantics

We describe several views of the semantics of a simple programming language as formal documents in the calculus of inductive constructions that can be verified by the Coq proof system. Covered

Types and programming languages

This text provides a comprehensive introduction both to type systems in computer science and to the basic theory of programming languages, with a variety of approaches to modeling the features of object-oriented languages.

Mechanized Metatheory for the Masses: The PoplMark Challenge

An initial set of benchmarks for measuring progress in this area of programming languages are proposed, based on the metatheory of System F<:, a typed lambda-calculus with second-order polymorphism, subtyping, and records.

Foundational proof-carrying code

  • A. Appel
  • Computer Science
    Proceedings 16th Annual IEEE Symposium on Logic in Computer Science
  • 2001
This paper describes many of the mathematical and engineering problems to be solved in the construction of a foundational proof-carrying code system, using the simplest possible verifier and the smallest possible runtime system.

A Syntactic Approach to Type Soundness

A new approach to proving type soundness for Hindley/Milner-style polymorphic type systems by an adaptation of subject reduction theorems from combinatory logic to programming languages and the use of rewriting techniques for the specification of the language semantics is presented.
...