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TCS
2008
13 years 7 months ago
Polyhedra genus theorem and Euler formula: A hypermap-formalized intuitionistic proof
This article presents formalized intuitionistic proofs for the polyhedra genus theorem, the Euler formula and a sufficient condition of planarity. They are based on a hypermap mod...
Jean-François Dufourd
ICFP
2009
ACM
14 years 8 months ago
Effective interactive proofs for higher-order imperative programs
We present a new approach for constructing and verifying higherorder, imperative programs using the Coq proof assistant. We build on the past work on the Ynot system, which is bas...
Adam J. Chlipala, J. Gregory Malecha, Greg Morrise...
CADE
2005
Springer
14 years 8 months ago
A Proof-Producing Decision Procedure for Real Arithmetic
We present a fully proof-producing implementation of a quantifier elimination procedure for real closed fields. To our knowledge, this is the first generally useful proof-producing...
Sean McLaughlin, John Harrison
ENTCS
2008
106views more  ENTCS 2008»
13 years 7 months ago
Verifying Test-Hypotheses: An Experiment in Test and Proof
HOL-TestGen is a specification and test case generation environment extending the interactive theorem prover Isabelle/HOL. The HOL-TestGen method is two-staged: first, the origina...
Achim D. Brucker, Lukas Brügger, Burkhart Wol...
EKAW
1999
Springer
13 years 12 months ago
Formally Verifying Dynamic Properties of Knowledge Based Systems
Abstract. In this paper we study dynamic properties of knowledge-based systems. We argue the importance of such dynamic properties for the construction and analysis of knowledge-ba...
Perry Groot, Annette ten Teije, Frank van Harmelen