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» Inductive reasoning about effectful data types
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ICFP
2007
ACM
14 years 4 months ago
Inductive reasoning about effectful data types
We present a pair of reasoning principles, definition and proof by rigid induction, which can be seen as proper generalizations of lazy-datatype induction to monadic effects other...
Andrzej Filinski, Kristian Støvring
ACL2
2006
ACM
13 years 10 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
JAR
2007
123views more  JAR 2007»
13 years 4 months ago
Reasoning about Object-based Calculi in (Co)Inductive Type Theory and the Theory of Contexts
Abstract. We illustrate a methodology for formalizing and reasoning about Abadi and Cardelli’s object-based calculi, in (co)inductive type theory, such as the Calculus of (Co)Ind...
Alberto Ciaffaglione, Luigi Liquori, Marino Micula...
WFLP
2000
Springer
124views Algorithms» more  WFLP 2000»
13 years 8 months ago
A Formal Approach to Reasoning about the Effectiveness of Partial Evaluation
We introduce a framework for assessing the effectiveness of partial evaluators in functional logic languages. Our framework is based on properties of the rewrite system that models...
Elvira Albert, Sergio Antoy, Germán Vidal
ENTCS
2007
91views more  ENTCS 2007»
13 years 4 months ago
A Logic for Reasoning about Generic Judgments
This paper presents an extension of a proof system for encoding generic judgments, the logic FOλ∆ of Miller and Tiu, with an induction principle. The logic FOλ∆ is itself an...
Alwen Tiu