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JAR
2002
77views more  JAR 2002»
13 years 9 months ago
Proof Reflection in Coq
We formalise natural deduction for first-order logic in the proof assistant Coq, using De Bruijn indices for variable binding. The main judgement we model is of the form d [:] , ...
Dimitri Hendriks
ICFP
2003
ACM
14 years 9 months ago
Mechanising Hankin and Barendregt using the Gordon-Melham axioms
I describe the mechanisation in HOL of some basic -calculus theory, using the axioms proposed by Gordon and Melham [4]. Using these as a foundation, I mechanised the proofs from C...
Michael Norrish
JAR
2007
123views more  JAR 2007»
13 years 9 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...
CSL
2006
Springer
14 years 1 months ago
A Sequent Calculus for Type Theory
Based on natural deduction, Pure Type Systems (PTS) can express a wide range of type theories. In order to express proof-search in such theories, we introduce the Pure Type Sequent...
Stéphane Lengrand, Roy Dyckhoff, James McKi...
CIIA
2009
13 years 11 months ago
LCF-style for Secure Verification Platform based on Multiway Decision Graphs
Abstract. Formal verification of digital systems is achieved, today, using one of two main approaches: states exploration (mainly model checking and equivalence checking) or deduct...
Sa'ed Abed, Otmane Aït Mohamed