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» Automating Side Conditions in Formalized Partial Functions
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ITP
2010
156views Mathematics» more  ITP 2010»
13 years 11 months ago
The Optimal Fixed Point Combinator
In this paper, we develop a general theory of fixed point combinators, in higher-order logic equipped with Hilbert’s epsilon operator. This combinator allows for a direct and e...
Arthur Charguéraud
CADE
2004
Springer
14 years 7 months ago
Formalizing Undefinedness Arising in Calculus
Abstract. Undefined terms are commonplace in mathematics, particularly in calculus. The traditional approach to undefinedness in mathematical practice is to treat undefined terms a...
William M. Farmer
TPHOL
2002
IEEE
14 years 9 days ago
Type-Theoretic Functional Semantics
We describe the operational and denotational semantics of a small imperative language in type theory with inductive and recursive definitions. The operational semantics is given b...
Yves Bertot, Venanzio Capretta, Kuntal Das Barman
TPHOL
2002
IEEE
14 years 9 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
ENTCS
2006
93views more  ENTCS 2006»
13 years 7 months ago
A Rule-based System for Web site Verification
In this paper, we describe a system, written in Haskell, for the automated verification of Web sites which can be used to specify (partial) correctness and completeness properties...
Demis Ballis, Javier García-Vivó