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» A Type of Partial Recursive Functions
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JAR
2010
122views more  JAR 2010»
12 years 11 months ago
Partial and Nested Recursive Function Definitions in Higher-order Logic
Based on inductive definitions, we develop a tool that automates the definition of partial recursive functions in higher-order logic (HOL) and provides appropriate proof rules for ...
Alexander Krauss
HOA
1993
13 years 8 months ago
Strong Normalization of Typeable Rewrite Systems
This paper studies termination properties of rewrite systems that are typeable using intersection types. It introduces a notion of partial type assignment on Curryfied Term Rewri...
Steffen van Bakel, Maribel Fernández
FCT
2009
Springer
13 years 11 months ago
Independence Results for n-Ary Recursion Theorems
The n-ary first and second recursion theorems formalize two distinct, yet similar, notions of self-reference. Roughly, the n-ary first recursion theorem says that, for any n algo...
John Case, Samuel E. Moelius
LFP
1990
102views more  LFP 1990»
13 years 5 months ago
A Semantic Basis for Quest
Quest is a programming language based on impredicative type quantifiers and subtyping within a three-level structure of kinds, types and type operators, and values. The semantics ...
Luca Cardelli, Giuseppe Longo
JSYML
2000
56views more  JSYML 2000»
13 years 4 months ago
Computability over The Partial Continuous Functionals
We show that to every recursive total continuous functional there is a representative of in the hierearchy of partial continuous functionals such that is S1 - S9 computable ov...
Dag Normann