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ITP
2010
140views Mathematics» more  ITP 2010»
13 years 11 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
LPAR
2010
Springer
13 years 6 months ago
Generating Counterexamples for Structural Inductions by Exploiting Nonstandard Models
Induction proofs often fail because the stated theorem is noninductive, in which case the user must strengthen the theorem or prove auxiliary properties before performing the induc...
Jasmin Christian Blanchette, Koen Claessen
ACL2
2006
ACM
14 years 1 months ago
Soundness of the simply typed lambda calculus in ACL2
To make it practical to mechanize proofs in programming language metatheory, several capabilities are required of the theorem proving framework. One must be able to represent and ...
Sol Swords, William R. Cook
AAAI
2008
13 years 8 months ago
Computer-Aided Proofs of Arrow's and Other Impossibility Theorems
Arrow’s Impossibility Theorem is one of the landmark results in social choice theory. Over the years since the theorem was proved in 1950, quite a few alternative proofs have be...
Fangzhen Lin, Pingzhong Tang
FMCAD
2008
Springer
13 years 9 months ago
Mechanized Information Flow Analysis through Inductive Assertions
We present a method for verifying information flow properties of software programs using inductive assertions and theorem proving. Given a program annotated with information flow a...
Warren A. Hunt Jr., Robert Bellarmine Krug, Sandip...