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» Ambient Calculus and its Logic in the Calculus of Inductive ...
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CSL
2007
Springer
14 years 1 months ago
From Proofs to Focused Proofs: A Modular Proof of Focalization in Linear Logic
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Dale Miller, Alexis Saurin
KBSE
1997
IEEE
13 years 11 months ago
Moving Proofs-As-Programs into Practice
Proofs in the Nuprl system, an implementation of a constructive type theory, yield “correct-by-construction” programs. In this paper a new methodology is presented for extract...
James L. Caldwell
POPL
2010
ACM
14 years 4 months ago
Nominal System T
This paper introduces a new recursion principle for inductive data modulo -equivalence of bound names. It makes use of Oderskystyle local names when recursing over bound names. It...
Andrew M. Pitts
TYPES
2000
Springer
13 years 11 months ago
A Tour with Constructive Real Numbers
Abstract. The aim of this work is to characterize constructive real numbers through a minimal axiomatization. We introduce, discuss and justify 16 constructive axioms. Then we addr...
Alberto Ciaffaglione, Pietro Di Gianantonio
FM
2001
Springer
130views Formal Methods» more  FM 2001»
13 years 12 months ago
Towards a Topos Theoretic Foundation for the Irish School of Constructive Mathematics
The Irish School of Constructive Mathematics (M♣ c ), which extends the VDM, exploits an algebraic notation based upon monoids and their morphisms for the purposes of abstract mo...
Mícheál Mac an Airchinnigh