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» Strong Normalization with Singleton Types
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CORR
2008
Springer
61views Education» more  CORR 2008»
15 years 2 months ago
Short proofs of strong normalization
This paper presents simple, syntactic strong normalization proofs for the simply-typed -calculus and the polymorphic -calculus (system F) with the full set of logical connectives, ...
Aleksander Wojdyga
PPDP
2004
Springer
15 years 7 months ago
Characterizing strong normalization in a language with control operators
We investigate some fundamental properties of the reduction relation in the untyped term calculus derived from Curien and Herbelin’s λµµ. The original λµµ has a system of ...
Daniel J. Dougherty, Silvia Ghilezan, Pierre Lesca...
APAL
2010
66views more  APAL 2010»
15 years 2 months ago
Strong normalization results by translation
We prove the strong normalization of full classical natural deduction (i.e. with conjunction, disjunction and permutative conversions) by using a translation into the simply typed...
René David, Karim Nour
TACS
2001
Springer
15 years 6 months ago
Strong Normalization of Second Order Symmetric Lambda-mu Calculus
Parigot suggested symmetric structural reduction rules for ion to µ-abstraction in [9] to ensure unique representation of data type. We prove strong normalization of second order ...
Yoriyuki Yamagata
TLCA
2001
Springer
15 years 6 months ago
Strong Normalization of Classical Natural Deduction with Disjunction
We introduce λµ→∧∨⊥ , an extension of Parigot’s λµ-calculus where disjunction is taken as a primitive. The associated reduction relation, which includes the permutati...
Philippe de Groote