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POPL
2005
ACM
16 years 2 months ago
Automated soundness proofs for dataflow analyses and transformations via local rules
We present Rhodium, a new language for writing compiler optimizations that can be automatically proved sound. Unlike our previous work on Cobalt, Rhodium expresses optimizations u...
Sorin Lerner, Todd D. Millstein, Erika Rice, Craig...
COMPGEOM
2009
ACM
15 years 8 months ago
Approximate center points with proofs
We present the Iterated-Tverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S ∈ Rd with running time sub-exponential in d. T...
Gary L. Miller, Donald Sheehy
ITP
2010
140views Mathematics» more  ITP 2010»
15 years 5 months ago
Case-Analysis for Rippling and Inductive Proof
Abstract. Rippling is a heuristic used to guide rewriting and is typically used for inductive theorem proving. We introduce a method to support case-analysis within rippling. Like ...
Moa Johansson, Lucas Dixon, Alan Bundy
CSL
2008
Springer
15 years 3 months ago
The Computability Path Ordering: The End of a Quest
Abstract. In this paper, we first briefly survey automated termination proof methods for higher-order calculi. We then concentrate on the higher-order recursive path ordering, for ...
Frédéric Blanqui, Jean-Pierre Jouann...
192
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ESOP
2006
Springer
15 years 5 months ago
Coinductive Big-Step Operational Semantics
Using a call-by-value functional language as an example, this article illustrates the use of coinductive definitions and proofs in big-step operational semantics, enabling it to d...
Xavier Leroy