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CADE
2006
Springer
14 years 5 months ago
Partial Recursive Functions in Higher-Order Logic
Abstract. Based on inductive definitions, we develop an automated tool for defining partial recursive functions in Higher-Order Logic and providing appropriate reasoning tools for ...
Alexander Krauss
TYPES
2000
Springer
13 years 8 months ago
Executing Higher Order Logic
We report on the design of a prototyping component for the theorem prover Isabelle/HOL. Specifications consisting of datatypes, recursive functions and inductive definitions are co...
Stefan Berghofer, Tobias Nipkow
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
ESOP
2009
Springer
13 years 8 months ago
Resolving Inductive Definitions with Binders in Higher-Order Typed Functional Programming
This paper studies inductive definitions involving binders, in which aliasing between free and bound names is permitted. Such aliasing occurs in informal specifications of operatio...
Matthew R. Lakin, Andrew M. Pitts
TLCA
2005
Springer
13 years 10 months ago
Recursive Functions with Higher Order Domains
In a series of articles, we developed a method to translate general recursive functions written in a functional programming style into constructive type theory. Three problems rema...
Ana Bove, Venanzio Capretta