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69
Voted
MPC
2015
Springer
23views Mathematics» more  MPC 2015»
9 years 8 months ago
Polynomial Functors Constrained by Regular Expressions
We show that every regular language, via some DFA which accepts it, gives rise to a homomorphism from the semiring of polynomial functors to the semiring of n×n matrices over poly...
Dan Piponi, Brent A. Yorgey
68
Voted
MPC
2015
Springer
18views Mathematics» more  MPC 2015»
9 years 8 months ago
Hierarchy in Generic Programming Libraries
Generic programming (GP) is a form of abstraction in programming languages that serves to reduce code duplication by exploiting the regular structure of algebraic datatypes. Severa...
José Pedro Magalhães, Andres Lö...
67
Voted
MPC
2015
Springer
10views Mathematics» more  MPC 2015»
9 years 8 months ago
A Relation-Algebraic Approach to Multirelations and Predicate Transformers
The correspondence between up-closed multirelations and isotone predicate transformers is well known. Less known is that multirelations have also been used for modelling topologica...
Rudolf Berghammer, Walter Guttmann
66
Voted
MPC
2015
Springer
9views Mathematics» more  MPC 2015»
9 years 8 months ago
The strength of multi-row models
We develop a method for computing facet-defining valid inequalities for any mixed-integer set PJ . While our practical implementation does not return only facet-defining inequal...
Quentin Louveaux, Laurent Poirrier, Domenico Salva...
63
Voted
MPC
2015
Springer
19views Mathematics» more  MPC 2015»
9 years 8 months ago
Notions of Bidirectional Computation and Entangled State Monads
Abstract. Bidirectional transformations (bx) support principled consistency maintenance among data sources. Each data source corresponds to one perspective on a composite system, m...
Faris Abou-Saleh, James Cheney, Jeremy Gibbons, Ja...
Mathematics
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