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TPHOL
2008
IEEE
14 years 5 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
CSL
2008
Springer
14 years 21 days ago
Type-Based Termination with Sized Products
Type-based termination is a semantically intuitive method that ensures termination of recursive definitions by tracking the size of datatype elements, and by checking that recursiv...
Gilles Barthe, Benjamin Grégoire, Colin Rib...
TLCA
2007
Springer
14 years 5 months ago
Computation by Prophecy
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
TLCA
2009
Springer
14 years 5 months ago
Initial Algebra Semantics for Cyclic Sharing Structures
Terms are a concise representation of tree structures. Since they can be naturally defined by an inductive type, they offer data structures in functional programming and mechanis...
Makoto Hamana
LPAR
2007
Springer
14 years 5 months ago
HORPO with Computability Closure: A Reconstruction
Abstract. This paper provides a new, decidable definition of the higherorder recursive path ordering in which type comparisons are made only when needed, therefore eliminating the...
Frédéric Blanqui, Jean-Pierre Jouann...