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» Inductive Beluga: Programming Proofs
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FATES
2003
Springer
13 years 10 months ago
Using a Software Testing Technique to Improve Theorem Proving
Most efforts to combine formal methods and software testing go in the direction of exploiting formal methods to solve testing problems, most commonly test case generation. Here we ...
Reiner Hähnle, Angela Wallenburg
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
TCS
2011
13 years 6 days ago
Realizability models and implicit complexity
New, simple, proofs of soundness (every representable function lies in a given complexity class) for Elementary Affine Logic, LFPL and Soft Affine Logic are presented. The proofs ...
Ugo Dal Lago, Martin Hofmann
CEFP
2009
Springer
13 years 3 months ago
Reasoning about Codata
Programmers happily use induction to prove properties of recursive programs. To show properties of corecursive programs they employ coinduction, but perhaps less enthusiastically. ...
Ralf Hinze
POPL
2012
ACM
12 years 25 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...