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Combining effects and coeffects via grading
2016
Proceedings of the 21st ACM SIGPLAN International Conference on Functional Programming - ICFP 2016
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The effect-coeffect system has a denotational model in terms of effect-graded monads and coeffect-graded comonads where interaction is expressed via the novel concept of graded distributive laws. ...
The effectful or coeffectful behaviour of a program can be captured and described via type-based analyses, with fine grained information provided by monoidal effect annotations and semiring coeffects. ...
This grading induces a syntactic theory of interaction between effects and coeffects, captured by a matchedpair of operations which calculates an effect and a coeffect from a coeffect-effect pair. ...
doi:10.1145/2951913.2951939
dblp:conf/icfp/GaboardiKOBU16
fatcat:f55lofqgbreupmg26k3zmttuji
Combining effects and coeffects via grading
2016
SIGPLAN notices
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The effect-coeffect system has a denotational model in terms of effect-graded monads and coeffect-graded comonads where interaction is expressed via the novel concept of graded distributive laws. ...
The effectful or coeffectful behaviour of a program can be captured and described via type-based analyses, with fine grained information provided by monoidal effect annotations and semiring coeffects. ...
This grading induces a syntactic theory of interaction between effects and coeffects, captured by a matchedpair of operations which calculates an effect and a coeffect from a coeffect-effect pair. ...
doi:10.1145/3022670.2951939
fatcat:koluiqnyonaabf6nbdoymmc2u4
Coeffects
2014
Proceedings of the 19th ACM SIGPLAN international conference on Functional programming - ICFP '14
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We remedy this by developing a generalized coeffect system with annotations indexed by a coeffect shape. ...
We show that the structural system enjoys desirable syntactic properties and we give a categorical semantics using extended notions of indexed comonad. ...
Acknowledgments Thanks are due to Marco Gaboardi, Dan Ghica, Marcelo Fiore, and Tarmo Uustalu for discussions on this work. We thank the anonymous reviewers for their comments and suggestions. ...
doi:10.1145/2628136.2628160
dblp:conf/icfp/PetricekOM14
fatcat:bc3f2kyhg5hatkbb3hxuwgkv4i
Coeffects
2014
SIGPLAN notices
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We remedy this by developing a generalized coeffect system with annotations indexed by a coeffect shape. ...
We show that the structural system enjoys desirable syntactic properties and we give a categorical semantics using extended notions of indexed comonad. ...
Acknowledgments Thanks are due to Marco Gaboardi, Dan Ghica, Marcelo Fiore, and Tarmo Uustalu for discussions on this work. We thank the anonymous reviewers for their comments and suggestions. ...
doi:10.1145/2692915.2628160
fatcat:52dvuoq3gvelrbv3v2anawzxqe
Page 1948 of Mathematical Reviews Vol. , Issue 2002C
[page]
2002
Mathematical Reviews
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Such a method is presented in the final section and it is effective in finding an exhaustive list of conformal symplectic holonomy groups. ...
In fact, a brief exposition of a twistor theory, developed by Merkulov, to study the geometry of the moduli space of Legendrian deformations of certain complex ho- mogeneous spaces is given. ...
Coeffects: Unified Static Analysis of Context-Dependence
[chapter]
2013
Lecture Notes in Computer Science
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Monadic effect systems provide a unified way of tracking effects of computations, but there is no unified mechanism for tracking how computations rely on the environment in which they are executed. ...
We present three examples that do not fit the traditional approach of effect systems and have not been considered using the modal logic perspective, but can be captured as coeffect systems ( §1) -the tracking ...
We thank Gavin Bierman, Tarmo Uustalu, Varmo Vene and reviewers of earlier drafts. This work was supported by the EPSRC and CHESS. ...
doi:10.1007/978-3-642-39212-2_35
fatcat:oicnyrke7fhd3abwz4auvoy3gm
The semantic marriage of monads and effects
[article]
2014
arXiv
pre-print
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Dually, this approach yields indexed comonads which gives a unified semantics and effect system to contextual notions of effect (called coeffects), which we have previously described. ...
We redefine the semantics of Moggi's computational lambda-calculus in terms of (strong) indexed monads which gives a one-to-one correspondence between indices of the denotations and the effect annotations ...
They established soundness results between the effect system and an operational semantics, and conjectured a "coherent semantics" of effects and monads in a denotational style. ...
arXiv:1401.5391v1
fatcat:hdntf3yjijf33l6jg6j3hocjsy
Integrating Global Climate Change Mitigation Goals with Other Sustainability Objectives: A Synthesis
2015
Annual Review Environment and Resources
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This article reviews and synthesizes results from disparate strands of literature on the coeffects of mitigation to inform climate policy choices at different governance levels. ...
The incommensurability and uncertainties around the quantification of coeffects become, however, increasingly pervasive the more the perspective shifts from sectoral and local to economy wide and global ...
Seto, Felix Creutzig, Michael Jakob, Fabian Joas, and Steffen Brunner for helpful comments on earlier versions of this manuscript. ...
doi:10.1146/annurev-environ-021113-095626
fatcat:qo2hmylj25fs5apihsjccs2vzu
PhD Abstracts
2017
Journal of functional programming
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As a service to the community, the Journal of Functional Programming publishes the abstracts from PhD dissertations completed during the previous year. ...
The usual way of defining type theory formally is by starting with an inductive definition of precontexts, pretypes and preterms and as a second step defining a ternary typing relation over these three ...
Internalising a type theory with dependent types is challenging because of the mutual definitions of types, terms, substitution of terms and the conversion relation. ...
doi:10.1017/s0956796817000089
fatcat:p2yk5sbqazcuriv33wdtzekcc4
A Core Quantitative Coeffect Calculus
[chapter]
2014
Lecture Notes in Computer Science
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Monadic notions of computation are well-established mechanisms used to express effects in pure functional languages. Less well-established is the notion of comonadic computation. ...
In this work, we present a language RPCF inspired by a generalized interpretation of the exponential modality. ...
This work benefited from partial support of: ANR, under projects ...
doi:10.1007/978-3-642-54833-8_19
fatcat:lfedilzrobewxbj55nogaeodj4
Modal Reasoning = Metric Reasoning, via Lawvere
[article]
2021
arXiv
pre-print
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We prove such a relation to be a congruence, this way obtaining a compositional technique for reasoning about modal and coeffectful behaviours. ...
To achieve this goal, we develop a general theory of ternary program relations based on the novel notion of a comonadic lax extension, on top of which we define a modal extension of Abramsky's applicative ...
operationally-based techniques for effectful and coeffectful languages that, to the best of the authors' knowledge, are not available in any of the operational theories of coeffects present in the literature ...
arXiv:2103.03871v1
fatcat:x6prnsruf5fdtpyrhgv5fzk4vu
Embedding effect systems in Haskell
2014
Proceedings of the 2014 ACM SIGPLAN symposium on Haskell - Haskell '14
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Along the way, we relate the examples to other concepts, such as Haskell's implicit parameters and coeffects. ...
We explore a number of practical examples that make Haskell even better and safer for effectful programming. ...
this manuscript, and participants of Fun in the Afternoon 2014 (Facebook, London) for comments on a talk based on an early version. ...
doi:10.1145/2633357.2633368
dblp:conf/haskell/OrchardP14
fatcat:mgydh7itgffr3divcfvz3usva4
Embedding effect systems in Haskell
2014
SIGPLAN notices
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The file type is application/pdf.
Along the way, we relate the examples to other concepts, such as Haskell's implicit parameters and coeffects. ...
We explore a number of practical examples that make Haskell even better and safer for effectful programming. ...
this manuscript, and participants of Fun in the Afternoon 2014 (Facebook, London) for comments on a talk based on an early version. ...
doi:10.1145/2775050.2633368
fatcat:zkwtxyxrrjbr5lcgtqcltiubsm
PhD Abstracts
2015
Journal of functional programming
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As a service to the community, the Journal of Functional Programming publishes the abstracts from PhD dissertations completed during the previous year. ...
This porting process is nontrivial, and involves fundamental issues related to equality and finiteness; the recently developed homotopy type theory is put to good use formalizing these issues in a satisfactory ...
One of the key contributions is to port the theory of species from a classical, untyped set theory to a constructive type theory. ...
doi:10.1017/s0956796815000167
fatcat:6t25jkfshjfdtj7hv5mxmjcwfm
Lifespan associations of resting-state brain functional networks with ADHD symptoms
[article]
2022
arXiv
pre-print
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Our findings reveal a lifespan association of brain networks with ADHD symptoms and provide potential shared neural bases of distinct ADHD symptoms in children and adults. ...
Compared to the linear lifespan associations of brain functional segregation and integration with age in HCs, ADHD patients have a quadratic association in the whole brain and in most functional systems ...
A larger positive coeffect indicates a higher effect of In H Se H In H Se H ADHD on brain network integration, and a larger negative coeffect represents a higher effect of age. ...
arXiv:2107.13219v3
fatcat:arphczgvondjjpaqq36jyp5nbi
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