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» Representing Nested Inductive Types Using W-Types
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TLCA
2005
Springer
13 years 11 months ago
The Elimination of Nesting in SPCF
We use a fully abstract denotational model to show that nested function calls and recursive definitions can be eliminated from SPCF (a typed functional language with simple non-lo...
James Laird
CADE
2010
Springer
13 years 6 months ago
Beluga: A Framework for Programming and Reasoning with Deductive Systems (System Description)
Beluga is an environment for programming and reasoning about formal systems given by axioms and inference rules. It implements the logical framework LF for specifying and prototypi...
Brigitte Pientka, Joshua Dunfield
SOSL
1993
13 years 9 months ago
Verifying Process Algebra Proofs in Type Theory
In this paper we study automatic veri cation of proofs in process algebra. Formulas of process algebra are represented by types in typed -calculus. Inhabitants (terms) of these ty...
M. P. A. Sellink
ILP
1998
Springer
13 years 9 months ago
Strongly Typed Inductive Concept Learning
In this paper we argue that the use of a language with a type system, together with higher-order facilities and functions, provides a suitable basis for knowledge representation in...
Peter A. Flach, Christophe G. Giraud-Carrier, John...
APLAS
2007
ACM
13 years 9 months ago
Mixed Inductive/Coinductive Types and Strong Normalization
Abstract. We introduce the concept of guarded saturated sets, saturated sets of strongly normalizing terms closed under folding of corecursive functions. Using this tool, we can mo...
Andreas Abel