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» Formal polytypic programs and proofs
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FLOPS
2010
Springer
14 years 2 months ago
Automatically Generating Counterexamples to Naive Free Theorems
Disproof can be as important as proof in studying programs and programming languages. In particular, side conditions in a statement about program behavior are sometimes best unders...
Daniel Seidel, Janis Voigtländer
FOSSACS
2008
Springer
13 years 9 months ago
The Implicit Calculus of Constructions as a Programming Language with Dependent Types
Abstract. In this paper, we show how Miquel's Implicit Calculus of Constructions (ICC) can be used as a programming language featuring dependent types. Since this system has a...
Bruno Barras, Bruno Bernardo
KI
1990
Springer
13 years 12 months ago
The Representation of Program Synthesis in Higher Order Logic
ue to a lack of abstraction in the formalization of deductive mechanisms involved in programming reasoning tools for the development of program synthesizers are not yet available. ...
Christoph Kreitz
ENTCS
2008
170views more  ENTCS 2008»
13 years 8 months ago
A Coq Library for Verification of Concurrent Programs
Thanks to recent advances, modern proof assistants now enable verification of realistic sequential programs. However, regarding the concurrency paradigm, previous work essentially...
Reynald Affeldt, Naoki Kobayashi
CORR
2011
Springer
155views Education» more  CORR 2011»
12 years 11 months ago
On the Generation of Positivstellensatz Witnesses in Degenerate Cases
One can reduce the problem of proving that a polynomial is nonnegative, or more generally of proving that a system of polynomial inequalities has no solutions, to finding polynomi...
David Monniaux, Pierre Corbineau