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POPL
2012
ACM
12 years 11 days ago
Recursive proofs for inductive tree data-structures
We develop logical mechanisms and decision procedures to facilitate the verification of full functional properties of inductive tree data-structures using recursion that are soun...
Parthasarathy Madhusudan, Xiaokang Qiu, Andrei Ste...
CADE
2010
Springer
13 years 6 months ago
Automated Synthesis of Induction Axioms for Programs with Second-Order Recursion
In order to support the verification of programs, verification tools such as ACL2 or Isabelle try to extract suitable induction axioms from the definitions of terminating, recursiv...
Markus Aderhold
ICFP
2009
ACM
14 years 5 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...
TPHOL
2008
IEEE
13 years 11 months ago
Imperative Functional Programming with Isabelle/HOL
We introduce a lightweight approach for reasoning about programs involving imperative data structures using the proof assistant Isabelle/HOL. It is based on shallow embedding of pr...
Lukas Bulwahn, Alexander Krauss, Florian Haftmann,...
ML
2007
ACM
101views Machine Learning» more  ML 2007»
13 years 4 months ago
A persistent union-find data structure
The problem of disjoint sets, also known as union-find, consists in maintaining a partition of a finite set within a data structure. This structure provides two operations: a fu...
Sylvain Conchon, Jean-Christophe Filliâtre