Title
Affine Monads And Side-Effect-Freeness
Abstract
The notions of side-effect-freeness and commutativity are typical for probabilistic models, as subclass of quantum models. This paper connects these notions to properties in the theory of monads. A new property of a monad ('strongly affine') is introduced. It is shown that for such strongly affine monads predicates are in bijective correspondence with side-effect-free instruments. Also it is shown that these instruments are commutative, in a suitable sense, for monads which are commutative (monoidal).
Year
DOI
Venue
2016
10.1007/978-3-319-40370-0_5
COALGEBRAIC METHODS IN COMPUTER SCIENCE
Field
DocType
Volume
Affine transformation,Distributive law between monads,Discrete mathematics,Quantum,Bijection,Commutative property,Algebra,Probabilistic logic,Predicate (grammar),Monad (functional programming),Mathematics
Conference
9608
ISSN
Citations 
PageRank 
0302-9743
2
0.42
References 
Authors
11
1
Name
Order
Citations
PageRank
B. Jacobs11046100.09