Proof Contexts with Late Binding

Prevosto, Virgile; Boulmé, Sylvain; Urzyczyn, Pawe{l}

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Conference Paper

Proof Contexts with Late Binding

MPS-Authors

/persons/resource/persons45221

Prevosto, Virgile
Programming Logics, MPI for Informatics, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

There are no public fulltexts stored in PuRe

Supplementary Material (public)

There is no public supplementary material available

Citation

Prevosto, V., & Boulmé, S. (2005). Proof Contexts with Late Binding. In Typed Lambda Calculi and Applications: 7th International Conference, TLCA 2005 (pp. 325-339). Berlin, Germany: Springer.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-2775-C

Abstract

The focal language (formerly Foc) allows one to incrementally build modules and to prove formally their correctness. focal encourages a development process by refinement, deriving step-by-step implementations from specifications. This refinement process is realized using an inheritance mechanism on structures which can mix primitive operations, axioms, algorithms and proofs. Inheriting from existing structures allows to reuse their components under some conditions, statically checked by the compiler. This paper presents two formal semantics for encoding focal constructions in the Coq proof assistant. The first one is a shallow embedding which gives a practical way to use Coq to check proofs in focal libraries. The second one formalizes the focal structures as Coq types (called mixDrecs) and shows that the informal semantics of focal libraries is coherent with respect to Coq logic. In the last part of the paper, we prove that the first embedding is conform to the mixDrecs model.