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» Quotient Types: A Modular Approach
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TPHOL
2002
IEEE
14 years 3 months ago
Quotient Types: A Modular Approach
In this paper we introduce a new approach to axiomatizing quotient types in type theory. We suggest replacing the existing monolithic rule set by a modular set of rules for a speci...
Aleksey Nogin
MPC
2004
Springer
123views Mathematics» more  MPC 2004»
14 years 4 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...
ICFP
2008
ACM
14 years 10 months ago
Quotient lenses
There are now a number of bidirectional programming languages, where every program can be read both as a forward transformation mapping one data structure to another and as a reve...
J. Nathan Foster, Alexandre Pilkiewicz, Benjamin C...
DM
2010
108views more  DM 2010»
13 years 11 months ago
Locally toroidal polytopes and modular linear groups
When the standard representation of a crystallographic Coxeter group G (with string diagram) is reduced modulo the integer d 2, one obtains a finite group Gd often the automorphi...
Barry Monson, Egon Schulte
CAV
2006
Springer
132views Hardware» more  CAV 2006»
14 years 2 months ago
Symmetry Reduction for Probabilistic Model Checking
We present an approach for applying symmetry reduction techniques to probabilistic model checking, a formal verification method for the quantitative analysis of systems with stocha...
Marta Z. Kwiatkowska, Gethin Norman, David Parker