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TPHOL
2007
IEEE
13 years 11 months ago
Simple Types in Type Theory: Deep and Shallow Encodings
Abstract. We present a formal treatment of normalization by evaluation in type theory. The involved semantics of simply-typed λ-calculus is exactly the simply typed fragment of th...
François Garillot, Benjamin Werner
TPHOL
2007
IEEE
13 years 11 months ago
Proof Pearl: De Bruijn Terms Really Do Work
Placing our result in a web of related mechanised results, we give a direct proof that the de Bruijn λ-calculus (`a la Huet, Nipkow and Shankar) is isomorphic to an α-quotiented ...
Michael Norrish, René Vestergaard
TPHOL
2007
IEEE
13 years 11 months ago
Extracting Purely Functional Contents from Logical Inductive Types
We propose a method to extract purely functional contents from logical inductive types in the context of the Calculus of Inductive Constructions. This method is based on a mode con...
David Delahaye, Catherine Dubois, Jean-Fréd...
TPHOL
2007
IEEE
13 years 11 months ago
Operational Reasoning for Concurrent Caml Programs and Weak Memory Models
This paper concerns the formal semantics of programming languages, and the specification and verification of software. We are interested in the verification of real programs, wr...
Tom Ridge
TPHOL
2007
IEEE
13 years 11 months ago
Proof Pearl: The Power of Higher-Order Encodings in the Logical Framework LF
Abstract. In this proof pearl, we demonstrate the power of higherorder encodings in the logical framework Twelf[PS99] by investigating proofs about an algorithmic specification of...
Brigitte Pientka