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» Constructive Data Refinement in Typed Lambda Calculus
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TOCL
2012
235views Formal Methods» more  TOCL 2012»
11 years 10 months ago
Topological and Simplicial Models of Identity Types
racting these leads us to introduce the notion of a path object category. This is a relatively simple axiomatic framework, which is nonetheless sufficiently strong to allow the con...
Benno van den Berg, Richard Garner
SCP
2011
255views Communications» more  SCP 2011»
13 years 2 months ago
Map fusion for nested datatypes in intensional type theory
A definitional extension LNGMIt of the Calculus of Inductive Constructions (CIC), that underlies the proof assistant Coq, is presented that allows also to program with nested dat...
Ralph Matthes
CORR
2012
Springer
212views Education» more  CORR 2012»
12 years 3 months ago
A Bi-Directional Refinement Algorithm for the Calculus of (Co)Inductive Constructions
The paper describes the refinement algorithm for the Calculus of (Co)Inductive Constructions (CIC) implemented in the interactive theorem prover Matita. The refinement algorithm ...
Andrea Asperti, Wilmer Ricciotti, Claudio Sacerdot...
ACL
2001
13 years 9 months ago
An Algebra for Semantic Construction in Constraint-based Grammars
We develop a framework for formalizing semantic construction within grammars expressed in typed feature structure logics, including HPSG. The approach provides an alternative to t...
Ann A. Copestake, Alex Lascarides, Dan Flickinger
SEFM
2007
IEEE
14 years 1 months ago
An AOP Extended Lambda-Calculus
This paper presents an implicitly-typed functional, aspect-oriented programming language: λ AOP. The main contribution of the paper is a semantics for λ AOP advice weaving. The ...
Dima Alhadidi, Nadia Belblidia, Mourad Debbabi, Pr...