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» A Logic for Reasoning with Higher-Order Abstract Syntax
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JAR
2007
123views more  JAR 2007»
13 years 7 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...
TPHOL
2009
IEEE
14 years 2 months ago
The HOL-Omega Logic
A new logic is posited for the widely used HOL theorem prover, as an extension of the existing higher order logic of the HOL4 system. The logic is extended to three levels, adding ...
Peter V. Homeier
TPHOL
2002
IEEE
14 years 12 days ago
Free-Style Theorem Proving
g Higher Order Abstract Syntax with Tactical Theorem Proving and (Co)Induction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 ...
David Delahaye
ICFP
2005
ACM
14 years 7 months ago
A computational approach to reflective meta-reasoning about languages with bindings
We present a foundation for a computational meta-theory of languages with bindings implemented in a computer-aided formal reasoning environment. Our theory provides the ability to...
Aleksey Nogin, Alexei Kopylov, Xin Yu, Jason Hicke...
FMOODS
2003
13 years 9 months ago
A Syntax-Directed Hoare Logic for Object-Oriented Programming Concepts
This paper outlines a sound and complete Hoare logic for a sequential object-oriented language with inheritance and subtyping like Java. It describes a weakest precondition calculu...
Cees Pierik, Frank S. de Boer