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» Strong Normalization and Equi-(Co)Inductive Types
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CORR
2008
Springer
61views Education» more  CORR 2008»
13 years 7 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
APAL
2010
66views more  APAL 2010»
13 years 7 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
IFIP
2004
Springer
14 years 27 days ago
The Simply-typed Pure Pattern Type System Ensures Strong Normalization
Pure Pattern Type Systems (P2 TS) combine in a unified setting the capabilities of rewriting and λ-calculus. Their type systems, adapted from Barendregt’s λ-cube, are especial...
Benjamin Wack
TLCA
1993
Springer
13 years 11 months ago
The Conservation Theorem revisited
This paper describes a method of proving strong normalization based on an extension of the conservation theorem. We introduce a structural notion of reduction that we call βS, and...
Philippe de Groote
LICS
2007
IEEE
14 years 1 months ago
Strong Normalization as Safe Interaction
When enriching the λ-calculus with rewriting, union types may be needed to type all strongly normalizing terms. However, with rewriting, the elimination rule (∨ E) of union typ...
Colin Riba