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» Relational Reasoning for Recursive Types and References
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LICS
1999
IEEE
13 years 9 months ago
Subtyping Recursive Types in Kernel Fun
The problem of defining and checking a subtype relation between recursive types was studied in [3] for a first order type system, but for second order systems, which combine subty...
Dario Colazzo, Giorgio Ghelli
INLG
2004
Springer
13 years 10 months ago
Overgenerating Referring Expressions Involving Relations and Booleans
Abstract. We present a new approach to the generation of referring expressions containing attributive, type and relational properties combined by conjunctions, disjunctions and neg...
Sebastian Varges
TLCA
2005
Springer
13 years 11 months ago
Relational Reasoning in a Nominal Semantics for Storage
We give a monadic semantics in the category of FM-cpos to a higher-order CBV language with recursion and dynamically allocated mutable references that may store both ground data an...
Nick Benton, Benjamin Leperchey
TPHOL
2008
IEEE
13 years 11 months ago
A Type of Partial Recursive Functions
We describe a new method to represent (partial) recursive functions in type theory. For every recursive definition, we define a co-inductive type of prophecies that characterises...
Ana Bove, Venanzio Capretta
TPHOL
2002
IEEE
13 years 10 months 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