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ASIAN
2003
Springer
109views Algorithms» more  ASIAN 2003»
15 years 12 months ago
Deaccumulation - Improving Provability
Several induction theorem provers were developed to verify functional programs mechanically. Unfortunately, automated verification usually fails for functions with accumulating ar...
Jürgen Giesl, Armin Kühnemann, Janis Voi...
APLAS
2011
ACM
14 years 6 months ago
Solving Recursion-Free Horn Clauses over LI+UIF
Verification of programs with procedures, multi-threaded programs, and higher-order functional programs can be effectively auusing abstraction and refinement schemes that rely o...
Ashutosh Gupta, Corneliu Popeea, Andrey Rybalchenk...
ICFP
2008
ACM
16 years 6 months ago
Quotient lenses
There are now a number of bidirectional programming languages, where every program can be read both as a forward transformation mapping one data structure to another and as a reve...
J. Nathan Foster, Alexandre Pilkiewicz, Benjamin C...
CADE
2008
Springer
16 years 7 months ago
Proving Bounds on Real-Valued Functions with Computations
Interval-based methods are commonly used for computing numerical bounds on expressions and proving inequalities on real numbers. Yet they are hardly used in proof assistants, as th...
Guillaume Melquiond
ACL2
2006
ACM
15 years 10 months ago
Quantification in tail-recursive function definitions
We investigate the logical issues behind axiomatizing equations that contain both recursive calls and quantifiers in ACL2. We identify a class of such equations, named extended ta...
Sandip Ray