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» Type theory in type theory using quotient inductive types
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JAR
2007
123views more  JAR 2007»
13 years 4 months ago
Reasoning about Object-based Calculi in (Co)Inductive Type Theory and the Theory of Contexts
Abstract. We illustrate a methodology for formalizing and reasoning about Abadi and Cardelli’s object-based calculi, in (co)inductive type theory, such as the Calculus of (Co)Ind...
Alberto Ciaffaglione, Luigi Liquori, Marino Micula...
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
CIE
2008
Springer
13 years 6 months ago
Recursion on Nested Datatypes in Dependent Type Theory
Nested datatypes are families of datatypes that are indexed over all types and where the datatype constructors relate different members of the family. This may be used to represent...
Ralph Matthes
MPC
2004
Springer
123views Mathematics» more  MPC 2004»
13 years 10 months ago
Constructing Polymorphic Programs with Quotient Types
The efficient representation and manipulation of data is one of the fundamental tasks in the construction of large software systems. Parametric polymorphism has been one of the mo...
Michael Abbott, Thorsten Altenkirch, Neil Ghani, C...
ENTCS
2002
91views more  ENTCS 2002»
13 years 4 months ago
Subtyping in Logical Form
By using intersection types and filter models we formulate a theory of types for a -calculus with record subtyping via a finitary programming logic. Types are interpreted as space...
Ugo de'Liguoro