Sciweavers

99 search results - page 10 / 20
» Proving Self-Stabilization with a Proof Assistant
Sort
View
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
2008
IEEE
14 years 1 months ago
Certifying a Termination Criterion Based on Graphs, without Graphs
Although graphs are very common in computer science, they are still very difficult to handle for proof assistants as proving properties of graphs may require heavy computations. T...
Pierre Courtieu, Julien Forest, Xavier Urbain
TPHOL
2002
IEEE
14 years 13 days ago
Weakest Precondition for General Recursive Programs Formalized in Coq
Abstract. This paper describes a formalization of the weakest precondition, wp, for general recursive programs using the type-theoretical proof assistant Coq. The formalization is ...
Xingyuan Zhang, Malcolm Munro, Mark Harman, Lin Hu
TPHOL
1999
IEEE
13 years 11 months ago
Universal Algebra in Type Theory
We present a development of Universal Algebra inside Type Theory, formalized using the proof assistant Coq. We define the notion of a signature and of an algebra over a signature. ...
Venanzio Capretta
CORR
2008
Springer
105views Education» more  CORR 2008»
13 years 7 months ago
Certifying floating-point implementations using Gappa
High confidence in floating-point programs requires proving numerical properties of final and intermediate values. One may need to guarantee that a value stays within some range, ...
Florent de Dinechin, Christoph Quirin Lauter, Guil...