# Research papers/Monads and arrows

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## Monads

See also Monad and Arrow HaskellWiki pages.

- State in Haskell
- SL Peyton Jones and J Launchbury, Lisp and Symbolic Computation 8(4), Dec 1995, pp293-341. (Cited by 109)

- Lazy functional state threads
- SL Peyton Jones and J Launchbury, SIGPLAN Symposium on Programming Language Design and Implementation (PLDI'94), Orlando, June 1994, pp24-35. (Cited by 127))

- Imperative functional programming
- SL Peyton Jones and PL Wadler, 20th ACM Symposium on Principles of Programming Languages (POPL'93), Charleston, Jan 1993, pp71-84. (Cited by 289)

- Prological features in a functional setting - axioms and implementations
- Ralf Hinze. In Masahiko Sato, Yoshihito Toyama, editors, Third Fuji International Symposium on Functional and Logic Programming (FLOPS'98), Kyoto University, Japan, April 1998, pp. 98-122. World Scientific, Singapore, New Jersey, London, Hong Kong. (Cited by 9)

- Composing Monads
- Mark P. Jones and Luc Duponcheel Research Report YALEU/DCS/RR-1004, Yale University, New Haven, Connecticut, USA, December 1993. (Cited by 66))

- The marriage of effects and monads
- Philip Wadler and Peter Thiemann. Submitted to ACM Transactions on Computational Logic. (Cited by 62)

- How to declare an imperative
- Philip Wadler. ACM Computing Surveys, 29(3):240--263, September 1997. A shorter version was an invited paper at ILPS 95, appearing in John Lloyd, editor, International Logic Programming Symposium, MIT Press, December 1995. (Cited by 92)

- Monads and composable continuations
- Philip Wadler. Lisp and Symbolic Computation, Special issue on continuations, 7(1):39-56, January 1994. (Cited by 34)

- Monads for functional programming
- Philip Wadler. In M. Broy, editor, Marktoberdorf Summer School on Program Design Calculi, Springer Verlag, NATO ASI Series F: Computer and systems sciences, Volume 118, August 1992. Also in J. Jeuring and E. Meijer, editors, Advanced Functional Programming, Springer Verlag, LNCS 925, 1995. (Cited by 237)

- Combining monads
- David King and Philip Wadler. Glasgow Workshop on Functional Programming, Springer Verlag Workshops in Computing Series, Ayr, July 1992. (Cited by 42)

- The essence of functional programming
- Philip Wadler. Invited talk, 19'th Symposium on Principles of Programming Languages, ACM Press, Albuquerque, January 1992. (Cited by 407)

- How to prove monad laws
- Oleg Kiselyov, v1.1, Sep 2, 2003, Originally posted as "Re: proving the monad laws" on the Haskell mailing list

- Monadification of Functional Programs
- Martin Erwig and Deling Ren. Science of Computer Programming, Vol. 52, No. 1-3, 101-129, 2004

- The Categorical Imperative - Or: How to Hide Your State Monads
- Martin Erwig. 10th Int. Workshop on Implementation of Functional Languages (IFL'98), 1-25, 1998

- Monads for Incremental Computing
- Magnus Carlsson, ICFP 2002, 2002.

- Monads for Incremental Computing
- Magnus Carlsson, ICFP'02.

### Monad comprehensions

- Comprehending monads
- Philip Wadler. Mathematical Structures in Computer Science, Special issue of selected papers from 6'th Conference on Lisp and Functional Programming, 2:461-493, 1992. (Cited by 469)

### Monad transformers

- Deriving Backtracking Monad Transformers
- Ralf Hinze. In Phil Wadler, editor, Proceedings of the 2000 International Conference on Functional Programming, Montreal, Canada, September 18-20, 2000.

- Deriving monad transformers
- Ralf Hinze. Technical Report IAI-TR-99-1, Institut fr Informatik III, Universitt Bonn, January 1999.

- Backtracking, Interleaving, and Terminating Monad Transformers
- Oleg Kiselyov, Chung-chieh Shan, Daniel P. Friedman and Amr Sabry, Functional Pearl, to be presented at ICFP 2005.

- Modular Compilers Based on Monad Transformers
- Harrison, Kamin (1998)

- Semantic Lego
- Espinosa (1995)

### Recursion

- Semantics of Value Recursion for Monadic Input/Output
- Levent Erkök, John Launchbury and Andrew Moran. Journal of Theoretical Informatics and Applications. 36. 2. 2002.

- A Recursive do for Haskell
- Levent Erkök and John Launchbury. Proceedings of the 2002 ACM SIGPLAN workshop on Haskell. Pittsburgh, Pennsylvania. 29 - 37 2002 ISBN 1-58113-605-6

- Value recursion in monadic computations
- Levent Erkök. PhD. Thesis. OGI School of Science and Engineering. October 2002.

- Semantics of fixIO
- Levent Erkök, John Launchbury and Andrew Moran. Workshop on Fixed Points in Computer Science (FICS'01). 2001.

- Recursive Monadic Bindings
- Levent Erkok and John Launchbury. Proceedings of the International Conference on Functional Programming ICFP'00. 2000.

### Applications of monads

- Global Variables in Haskell
- John Hughes. 2004. JFP.

- Monadic-style backtracking
- Ralf Hinze. Technical Report IAI-TR-96-9, Institut fr Informatik III, Universitt Bonn, October 1996.

- A Poor Man's Concurrency Monad
- Koen Claessen, Journal of Functional Programming. 9(3). 313--323. 1999.

- Building Interpreters by Composing Monads
- Guy L. Steele, Jr.. Principles of Programming Languages (POPL'94). January 1994. (Cited by 67)

- Monad Transformers and Modular Interpreters
- Sheng Liang, Paul Hudak, and Mark P. Jones, In Conference Record of POPL'95: 22nd ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, San Francisco, CA, January 1995 (110 citations)

- Monadic Regions
- Fluet and Morrisett; To appear in the Journal of Functional Programming. "Region-based type systems provide programmer control over memory management without sacrificing type-safety... we show that plain old parametric polymorphism, as found in Haskell, is all that is needed."

- XLinq: XML Programming Refactored (The Return Of The Monoids)
- Erik Meijer and Brian Beckman

- Monadic Shell
- Oleg Kiselyov

- Coalgebraic Monads
- Ghani, Lth, De Marchi (2002)

- Monad Translating Inductive and Coinductive Types
- Uustalu (2003)

- Merging Monads and Folds for Functional Programming
- Meijer, Jeuring (1995)

- Monadic Maps and Folds for Arbitrary Datatypes
- Fokkinga (1994)

- Modular Denotational Semantics for Compiler Construction
- Sheng Liang (1996)

- Monadic Parser Combinators
- Hutton, Meijer (1996)

- Building Domain-Specific Embedded Languages
- Paul Hudak (1996)

- Programming Reactive Systems in Haskell
- Finne, Jones (1994)

- Monads as a theoretical foundation for AOP
- De Meuter (1997)

- Monads for natural language semantics
- Chung-chieh Shan (Harvard University). Journal-ref: Proceedings of the 2001 European Summer School in Logic, Language and Information student session, ed. Kristina Striegnitz, 285-298

- A Monadic, Functional Implementation of Real Numbers
- Russell O'Connor, 2006. Mathematical Structures in Computer Science.

- A monadic framework for delimited continuations
- Kent Dybvig, Simon Peyton Jones, and Amr Sabry.

See also monads in other languages.

### Comonads

- Codata and Comonads in Haskell
- Kieburtz - 1999

- The Dual of Substitution is Redecoration
- Tarmo Uustalu, Varmo Vene. Trends in Functional Programming 3. (2002)

- Monads and Comonads
- Ghani et al.

- Recursion Schemes from Comonads
- Uustalu, Vene, Pardo (2001)

- Computational Comonads and Intensional Semantics
- Brookes, Geva, 1992

### Monad theory

- Notions of computation and monads
- Eugenio Moggi. Information and Computation, 93(1):55-92, July 1991 ( Cited by 649)

- Computational lambda-calculus and monads
- Eugenio Moggi. Logic in Computer Science, 1989. LICS '89, Proceedings., Fourth Annual Symposium on (1989), pp. 14-23.

- Representing Layered Monads
- Andrzej Filinski. In Proceedings of the 26th ACM SIGPLAN-SIGACT Symposium on Principles of Programming Languages, pages 175--188, San Antonio, Texas, USA, January 1999. ACM Press.

- Monads and Effects
- Nick Benton, John Hughes and Eugenio Moggi. APPSEM'00 Summer School, LNCS 2395, 2002

- Correctness of Monadic State: An Imperative Call-by-Need Calculus
- Ariola, Sabry (1998)

- Monadic Encapsulation of Effects: A Revised Approach (extended version)
- Journal of Functional Programming, 11(6), 2001.

- Towards a Mathematical Operational Semantics
- Turi, Plotkin (1997) (53 citations)

- Equivalence in Functional Languages with Effects
- Mason, Talcott (1991) (49 citations)

- Computational Types from a Logical Perspective
- Benton, Bierman (1995)

- A Modular Monadic Action Semantics
- Wansbrough (1997)

- Functor Categories and Two-Level Languages
- Moggi (1998)

- A Category-Theoretic Account of Program Modules
- Moggi (1994)

### Reasoning about Monads

- Promotional Transformation of Monadic Programs
- Hu, Iwasaki (1995)

- Inductive Reasoning about Effectful Data Types
- Andrzej Filinski and Kristian Støvring. International Conference on Functional Programming (ICFP'07), Proceedings, ACM Press, 2007.

- Free Theorems Involving Type Constructor Classes
- Janis Voigtländer. International Conference on Functional Programming (ICFP'09), Proceedings, ACM Press, 2009.

- Understanding Idiomatic Traversals Backwards and Forwards
- Richard Bird, Jeremy Gibbons, Stefan Mehner, Tom Schrijvers, and Janis Voigtländer. Haskell Symposium 2013 (Haskell'13), Proceedings, ACM Press, 2013.

## Arrows

See also Arrow HaskellWiki page.

### Arrows in Haskell

- Generalising Monads to Arrows,
- John Hughes, in Science of Computer Programming 37, pp67-111, May 2000. (draft online)

- A New Notation for Arrows
- Ross Paterson. In ICFP 2001, Firenze, Italy, pp229-240]

- Arrows and Computation
- Ross Paterson, in The Fun of Programming (Jeremy Gibbons and Oege de Moor, Eds.), pp201-222, Palgrave, 2003.

### Applications of arrows

- Genuinely Functional User Interfaces
- Anthony Courtney and Conal Elliott, in Haskell Workshop 2001, Firenze, Italy, pp41-69.

- Arrows, Robots, and Functional Reactive Programming
- Paul Hudak, Henrik Nilsson, Anthony Courtney and Jon Peterson, in Advanced Functional Programming, 4th International School, (Johan Jeuring and Simon Peyton Jones eds.), Oxford, Springer LNCS 2638, 2003.

- Polytypic compact printing and parsing
- Patrik Jansson and Johan Jeuring, In Proceedings European Symposium on Programming, LNCS 1576, pp273-287, Springer, 1999.

- Polytypic data conversion programs
- Patrik Jansson and Johan Jeuring, Science of Computer Programming 43(1), pp35-75, 2002.

- Hyperfunctions
- Sava Krstic, John Launchbury and Dusko Pavlovic, Workshop on Fixed Points in Computer Science, Sep 2001.

- Functional Reactive Programming, Continued
- Henrik Nilsson, Antony Courtney, and John Peterson. Proceedings of the 2002 ACM SIGPLAN Haskell Workshop (Haskell'02), pages 51 - 64, Pittsburgh, Pennsylvania, USA, October 2002. ACM Press.

- There and back again: arrows for invertible programming
- Artem Alimarine, Sjaak Smetsers, Arjen van Weelden, Marko van Eekelen, Rinus Plasmeijer. Proceedings of the 2005 ACM SIGPLAN workshop on Haskell. Tallinn, Estonia, 86 - 97 2005 ISBN 1-59593-071-X

Free version of the above paper at http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.60.7278 or one of the other citeseer mirrors

- ProdArrows -- Arrows for Fudgets
- Magnus Carlsson, 2001.

- Directing JavaScript with Arrows
- Jeffrey S. Foster et al, 2008 (submitted)

### Arrow theory

- Categories for Computation in Context and Unified Logic
- Richard Blute, J.R.B. Cockett and R.A.G. Seely. In Journal of Pure and Applied Algebra 116:49-98, 1997.

- Arrows, like Monads, are Monoids
- Chris Heunen and Bart Jacobs. In Electronic Notes in Theoretical Computer Science, Volume 158, 5 May 2006, Pages 219-236.

- Premonoidal Categories and Notions of Computation
- John Power and Edmund Robinson. In Mathematical Structures in Computer Science 7(5):453-468, 1997.

- Traced Premonoidal Categories
- Nick Benton and Martin Hyland. In Theoretical Informatics and Applications 37(4):273-299, 2003.

- Environments, Continuation Semantics and Indexed Categories
- John Power and Hayo Thielecke. In Proc. Theoretical Aspects of Computer Science, LNCS 1281, pp 391-414, 1997.

- Closed Freyd- and kappa-categories
- John Power and Hayo Thielecke. ICALP'99, LNCS 1644, Springer, 1999.