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@article{Gasarch09,
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  author    = {S.~A.~Fenner and W.~I.~Gasarch and B.~Postow},
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  title     = {{T}he {C}omplexity of {F}inding {SUBSEQ(A)}},
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  journal   = {Theory Computing Systems},
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  volume    = {45},
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  number    = {3},
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  year      = {2009},
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  pages     = {577-612}
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}
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@Book{Shallit08,
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  author = 	 {J.~Shallit},
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  title = 	 {{A} {S}econd {C}ourse in {F}ormal {L}anguages and {A}utomata {T}heory},
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  publisher = 	 {Cambridge University Press},
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  year = 	 {2008}
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}
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@Unpublished{Rosenberg06,
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  author = 	 {A.~L.~Rosenberg},
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  title = 	 {{A} {B}ig {I}deas {A}pproach to the {T}heory of {C}omputation},
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  note = 	 {Course notes for CMPSCI 401 at the University of Massachusetts},
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  year = 	 {2006}
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}
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@incollection{myhillnerodeafp11,
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  author =       {C.~Wu and X.~Zhang and C.~Urban},
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  title =        {{T}he {M}yhill-{N}erode {T}heorem based on {R}egular {E}xpressions},
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  booktitle =    {The Archive of Formal Proofs},
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  editor =       {G.~Klein and T.~Nipkow and L.~Paulson},
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  publisher =    {\url{http://afp.sourceforge.net/devel-entries/Myhill-Nerode.shtml}},
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  month =        Aug,
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  year =         2011,
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  note =         {Formal proof development},
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  ISSN =         {2150-914x}
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}
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@PhdThesis{Haftmann09,
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  author = 	 {F.~Haftmann},
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  title = 	 {{C}ode {G}eneration from {S}pecifications in {H}igher-{O}rder {L}ogic},
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  school = 	 {Technical University of Munich},
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  year = 	 {2009}
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}
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@article{Harper99,
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  author    = {R.~Harper},
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  title     = {{P}roof-{D}irected {D}ebugging},
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  journal   = {Journal of Functional Programming},
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  volume    = {9},
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  number    = {4},
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  year      = {1999},
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  pages     = {463-469}
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}
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@article{Yi06,
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  author    = {K.~Yi},
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  title     = {{E}ducational {P}earl: `{P}roof-{D}irected {D}ebugging' {R}evisited
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               for a {F}irst-{O}rder {V}ersion},
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  journal   = {Journal of Functional Programming},
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  volume    = {16},
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  number    = {6},
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  year      = {2006},
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  pages     = {663-670}
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}
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@Manual{PittsHOL4,
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  title = 	 {{S}yntax and {S}emantics},
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  author = 	 {A.~M.~Pitts},
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  note = 	 {Part of the documentation for the HOL4 system.}
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}
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@article{OwensReppyTuron09,
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  author = {S.~Owens and J.~Reppy and A.~Turon},
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  title = {{R}egular-{E}xpression {D}erivatives {R}e-{E}xamined},
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  journal = {Journal of Functional Programming},
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  volume = 19,
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  number = {2},
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  year = 2009,
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  pages = {173--190}
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}
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@Unpublished{KraussNipkow11,
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  author = 	 {A.~Krauss and T.~Nipkow},
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  title = 	 {{P}roof {P}earl: {R}egular {E}xpression {E}quivalence and {R}elation {A}lgebra},
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  note = 	 {To appear in Journal of Automated Reasoning},
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  year = 	 {2011}
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}
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@Book{Kozen97,
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  author = 	 {D.~Kozen},
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  title = 	 {{A}utomata and {C}omputability},
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  publisher = 	 {Springer Verlag},
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  year = 	 {1997}
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}
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@InProceedings{Almeidaetal10,
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  author =       {J.~B.~Almeida and N.~Moriera and D.~Pereira and S.~M.~de Sousa},
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  title =        {{P}artial {D}erivative {A}utomata {F}ormalized in {C}oq},
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  booktitle =    {Proc.~of the 15th International Conference on Implementation
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                  and Application of Automata},
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  pages =        {59-68},
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  year =         {2010},
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  volume =       {6482},
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  series =       {LNCS}
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}
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@incollection{Constable00,
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  author    = {R.~L.~Constable and
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               P.~B.~Jackson and
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               P.~Naumov and
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               J.~C.~Uribe},
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  title     = {{C}onstructively {F}ormalizing {A}utomata {T}heory},
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  booktitle = {Proof, Language, and Interaction},
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  year      = {2000},
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  publisher = {MIT Press},
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  pages     = {213-238}
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}
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@techreport{Filliatre97,
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  author = {J.-C. Filli\^atre},
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  institution = {LIP - ENS Lyon},
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  number = {97--04},
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  title = {{F}inite {A}utomata {T}heory in {C}oq: 
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           {A} {C}onstructive {P}roof of {K}leene's {T}heorem},
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  type = {Research Report},
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  year = {1997}
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}
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@article{OwensSlind08,
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  author    = {S.~Owens and K.~Slind},
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  title     = {{A}dapting {F}unctional {P}rograms to {H}igher {O}rder {L}ogic},
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  journal   = {Higher-Order and Symbolic Computation},
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  volume    = {21},
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  number    = {4},
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  year      = {2008},
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  pages     = {377--409}
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}
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@article{Brzozowski64,
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 author = {J.~A.~Brzozowski},
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 title = {{D}erivatives of {R}egular {E}xpressions},
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 journal = {Journal of the ACM},
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 volume = {11},
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 issue = {4},
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 year = {1964},
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 pages = {481--494},
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 publisher = {ACM}
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} 
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@inproceedings{Nipkow98,
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 author={T.~Nipkow},
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 title={{V}erified {L}exical {A}nalysis},
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 booktitle={Proc.~of the 11th International Conference on Theorem Proving in Higher Order Logics},
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 series={LNCS},
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 volume=1479,
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 pages={1--15},
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 year=1998
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}
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@inproceedings{BerghoferNipkow00,
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  author={S.~Berghofer and T.~Nipkow},
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  title={{E}xecuting {H}igher {O}rder {L}ogic},
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  booktitle={Proc.~of the International Workshop on Types for Proofs and Programs},
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  year=2002,
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  series={LNCS},
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  volume=2277,
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  pages="24--40"
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}
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@book{HopcroftUllman69,
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  author    = {J.~E.~Hopcroft and
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               J.~D.~Ullman},
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  title     = {{F}ormal {L}anguages and {T}heir {R}elation to {A}utomata},
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  publisher = {Addison-Wesley},
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  year      = {1969}
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}
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@inproceedings{BerghoferReiter09,
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  author    = {S.~Berghofer and
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               M.~Reiter},
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  title     = {{F}ormalizing the {L}ogic-{A}utomaton {C}onnection},
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  booktitle = {Proc.~of the 22nd International
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               Conference on Theorem Proving in Higher Order Logics},
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   190
  year      = {2009},
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  pages     = {147-163},
144
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  series    = {LNCS},
114
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  volume    = {5674}
172
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}
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@Article{Church40,
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  author = 	 {A.~Church},
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  title = 	 {{A} {F}ormulation of the {S}imple {T}heory of {T}ypes},
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  journal = 	 {Journal of Symbolic Logic},
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  year = 	 {1940},
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  volume = 	 {5},
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  number = 	 {2},
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  pages = 	 {56--68}
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}
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@ARTICLE{Antimirov95,
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    author = {V.~Antimirov},
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    title = {{P}artial {D}erivatives of {R}egular {E}xpressions and 
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     {F}inite {A}utomata {C}onstructions},
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    journal = {Theoretical Computer Science},
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    year = {1995},
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    volume = {155},
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    pages = {291--319}
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}
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@ARTICLE{Brzozowski10,
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  author = {J.~A.~Brzozowski},
172
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  title = {{Q}uotient {C}omplexity of {R}egular {L}anguages},
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  journal = {Journal of Automata, Languages and Combinatorics},
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  volume = {15},
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  number = {1/2}, 
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  pages = {71--89},
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  year = 2010
174
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} 
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@book{Sakarovitch09,
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  author    = {J.~Sakarovitch},
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  title     = {{E}lements of {A}utomata {T}heory},
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  publisher = {Cambridge University Press},
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  year      = {2009}
175
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}
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@inproceedings{WuZhangUrban11,
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  author    = {C.~Wu and X.~Zhang and C.~Urban},
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  title     = {{A} {F}ormalisation of the {M}yhill-{N}erode {T}heorem based on {R}egular {E}xpressions
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               ({P}roof {P}earl)},
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  booktitle = {Proc.~of the 2nd International Conference on Interactive Theorem Proving},
175
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  year      = {2011},
199
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  pages     = {341--356},
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  series    = {LNCS},
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  volume    = {6898}
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}
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@Article{Okhotin/04a,
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  author =	"A. Okhotin",
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   246
  title =	"Boolean {G}rammars",
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zhang
parents: 219
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   247
  journal =	"Inf.~Comput.",
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parents: 219
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   248
  pages =	"19--48",
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  year = 	"2004",
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  number =	"1",
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parents: 219
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  volume =	"194",
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  keywords =	"context-free grammar, intersection, complement,
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		 language equation, parsing, conjunctive grammar,
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zhang
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		 trellis automaton, cellular automaton",
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parents: 219
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   255
  abstract =	"A new generalization of context-free grammars is
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		 introduced: Boolean grammars allow the use of all
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		 set-theoretic operations as an integral part of the
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		 formalism of rules. Rigorous semantics for these
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		 grammars is defined by language equations in a way that
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		 allows to generalize some techniques from the theory of
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		 context-free grammars, including Chomsky normal form,
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		 Cocke-Kasami-Younger cubic-time recognition algorithm
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		 and some limited extension of the notion of a parse
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		 tree, which together allow to conjecture practical
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		 applicability of the new concept. (Copyright 2004
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		 ScienceDirect)",
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   267
  editor =	"Albert R. Meyer",
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   268
  publisher =	"Elsevier B.V.",
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  address =	"Orlando-Amsterdam-Tokyo-Singapore",
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  URL =  	"http://dx.doi.org/10.1016/j.ic.2004.03.006",
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  cdate =	"2004-12-21",
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  mdate =	"2005-08-18",
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}
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232
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@Article{journals/iandc/KountouriotisNR09,
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  title =	"{W}ell-founded {S}emantics for Boolean {G}rammars",
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diff changeset
   277
  author =	"V. Kountouriotis and C. Nomikos and P.
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   278
		 Rondogiannis",
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zhang
parents: 219
diff changeset
   279
  journal =	"Inf. Comput",
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zhang
parents: 219
diff changeset
   280
  year = 	"2009",
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zhang
parents: 219
diff changeset
   281
  number =	"9",
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zhang
parents: 219
diff changeset
   282
  volume =	"207",
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zhang
parents: 219
diff changeset
   283
  bibdate =	"2009-09-08",
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zhang
parents: 219
diff changeset
   284
  bibsource =	"DBLP,
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parents: 219
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		 http://dblp.uni-trier.de/db/journals/iandc/iandc207.html#KountouriotisNR09",
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parents: 219
diff changeset
   286
  pages =	"945--967",
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parents: 219
diff changeset
   287
  URL =  	"http://dx.doi.org/10.1016/j.ic.2009.05.002",
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}
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@Article{journals/corr/abs-1010-5023,
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parents: 219
diff changeset
   291
  title =	"Yacc is {D}ead",
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zhang
parents: 219
diff changeset
   292
  author =	"M. Might and D. Darais",
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zhang
parents: 219
diff changeset
   293
  journal =	"CoRR",
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zhang
parents: 219
diff changeset
   294
  year = 	"2010",
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diff changeset
   295
  volume =	"abs/1010.5023",
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parents: 219
diff changeset
   296
  note = 	"informal publication",
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zhang
parents: 219
diff changeset
   297
  bibdate =	"2010-11-03",
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parents: 219
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   298
  bibsource =	"DBLP,
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		 http://dblp.uni-trier.de/db/journals/corr/corr1010.html#abs-1010-5023",
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  URL =  	"http://arxiv.org/abs/1010.5023",
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}
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232
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@InProceedings{Ford04a,
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   304
  author =	"B. Ford",
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  title =	"Parsing {E}xpression {G}rammars: {A} {R}ecognition-based
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		 {S}yntactic {F}oundation",
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   307
  booktitle =	"POPL '04: Proceedings of the 31st ACM SIGPLAN-SIGACT
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		 symposium on Principles of programming languages",
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zhang
parents: 219
diff changeset
   309
  year = 	"2004",
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parents: 219
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   310
  ISBN = 	"1-58113-729-X",
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parents: 219
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   311
  pages =	"111--122",
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parents: 219
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  location =	"Venice, Italy",
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parents: 219
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   313
  doi =  	"10.1145/964001.964011",
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parents: 219
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   314
  URL =  	"http://pdos.csail.mit.edu/~baford/packrat/popl04/peg-popl04.pdf",
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  publisher =	"ACM",
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   316
  address =	"New York, NY, USA",
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   317
  keywords =	"peg parsing cclit",
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  doi-url =	"http://dx.doi.org/10.1145/964001.964011",
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}
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@InProceedings{Ford02b,
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parents: 219
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  author =	"B. Ford",
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   323
  title =	"{Packrat Parsing: a Practical Linear-Time Algorithm
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parents: 219
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		 with Backtracking}",
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zhang
parents: 219
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  booktitle =	"ICFP '02: Proceedings of the seventh ACM SIGPLAN
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zhang
parents: 219
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		 international conference on Functional programming",
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zhang
parents: 219
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   327
  year = 	"2002",
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parents: 219
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  school =	"Massachusetts Institute of Technology",
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parents: 219
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  URL =  	"http://pdos.csail.mit.edu/~baford/packrat/thesis/
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		 http://pdos.csail.mit.edu/~baford/packrat/thesis/thesis.pdf",
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zhang
parents: 219
diff changeset
   331
  keywords =	"packrat parsing cclit",
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parents: 219
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}
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@InProceedings{conf/pepm/WarthDM08,
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parents: 219
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  title =	"{Packrat Parsers Can Support Left Recursion}",
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parents: 219
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   336
  author =	"A. Warth and J. R. Douglass and T. D.
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parents: 219
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		 Millstein",
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parents: 219
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  bibdate =	"2008-04-04",
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parents: 219
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  bibsource =	"DBLP,
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		 http://dblp.uni-trier.de/db/conf/pepm/pepm2008.html#WarthDM08",
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parents: 219
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  booktitle =	"PEPM",
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parents: 219
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   342
  booktitle =	"Proceedings of the 2008 {ACM} {SIGPLAN} Symposium on
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		 Partial Evaluation and Semantics-based Program
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   344
		 Manipulation, {PEPM} 2008, San Francisco, California,
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		 {USA}, January 7-8, 2008",
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   346
  publisher =	"ACM",
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   347
  year = 	"2008",
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   348
  editor =	"Robert Gl{\"u}ck and Oege de Moor",
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   349
  ISBN = 	"978-1-59593-977-7",
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   350
  pages =	"103--110",
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   351
  URL =  	"http://doi.acm.org/10.1145/1328408.1328424",
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   352
}
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   353
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   354
@Article{Earley70,
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   355
  author =	"J. Earley",
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  title =	"{An Efficient Context-Free Parsing Algorithm}",
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   357
  journal =	"Communications of the ACM (CACM)",
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   358
  volume =	"13",
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   359
  number =	"2",
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diff changeset
   360
  month =	feb,
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diff changeset
   361
  year = 	"1970",
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   362
  keywords =	"parallel parsing, syntax analysis, parsing,
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		 context-free grammar, compilers, computational
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		 complexity, CACM,",
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}
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   366
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   367
@Article{AycHor02,
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   368
  author =	"Aycock and Horspool",
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   369
  title =	"{Practical Earley Parsing}",
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   370
  journal =	"COMPJ: The Computer Journal",
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   371
  volume =	"45",
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   372
  year = 	"2002",
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}