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Regular Expressions and Automata using Haskell
Simon Thompson
Technical Report 5-00, Computing Laboratory, University of Kent, January 2000.Abstract
Regular Expressions and Automata
The paper begins with definitions of regular expressions, and how strings are matched to them; this also gives our first Haskell treatment also. After describing the abstract data type of sets we define non-deterministic finite automata, and their implementation in Haskell. We then show how to build an NFA corresponding to each regular expression, and how such a machine can be optimised, first by transforming it into a deterministic machine, and then by minimising the state space of the DFA. We conclude with a discussion of regular definitions, and show how recognisers for strings matching regular definitions can be built.
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Bibtex Record
@techreport{958,
author = {Simon Thompson},
title = {{Regular Expressions and Automata using Haskell}},
month = {January},
year = {2000},
pages = {182-196},
keywords = {determinacy analysis, Craig interpolants},
note = {},
doi = {},
url = {http://www.cs.kent.ac.uk/pubs/2000/958},
institution = {Computing Laboratory, University of Kent},
number = {5-00},
publication_type = {techreport},
submission_id = {23260_948360512},
type = {Technical Report},
}