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» On Modal Logics of Partial Recursive Functions
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POPL
2007
ACM
14 years 5 months ago
A very modal model of a modern, major, general type system
We present a model of recursive and impredicatively quantified types with mutable references. We interpret in this model all of the type constructors needed for typed intermediate...
Andrew W. Appel, Christopher D. Richards, Jé...
CADE
1998
Springer
13 years 9 months ago
Admissibility of Fixpoint Induction over Partial Types
Partial types allow the reasoning about partial functions in type theory. The partial functions of main interest are recursively computed functions, which are commonly assigned ty...
Karl Crary
CORR
2008
Springer
91views Education» more  CORR 2008»
13 years 4 months ago
Taming Modal Impredicativity: Superlazy Reduction
Pure, or type-free, Linear Logic proof nets are Turing complete once cut-elimination is5 considered as computation. We introduce modal impredicativity as a new form of impredicati...
Ugo Dal Lago, Luca Roversi, Luca Vercelli
TPHOL
2003
IEEE
13 years 10 months ago
Inductive Invariants for Nested Recursion
Abstract. We show that certain input-output relations, termed inductive invariants are of central importance for termination proofs of algorithms defined by nested recursion. Indu...
Sava Krstic, John Matthews
CORR
2010
Springer
84views Education» more  CORR 2010»
13 years 2 months ago
Termination Casts: A Flexible Approach to Termination with General Recursion
This paper proposes a type-and-effect system called Teq, which distinguishes terminating terms and total functions from possibly diverging terms and partial functions, for a lambd...
Aaron Stump, Vilhelm Sjöberg, Stephanie Weiri...