@incollection{myhillnerodeafp11,

  author =       {C.~Wu and X.~Zhang and C.~Urban},

  booktitle =    {The Archive of Formal Proofs},

  editor =       {G.~Klein and T.~Nipkow and L.~Paulson},

  publisher =    {\url{http://afp.sf.net/entries/Myhill-Nerode.shtml}},

  month =        Aug,

  year =         2011,

  note =         {Formal proof development},

  ISSN =         {2150-914x}

}

@PhdThesis{Haftmann09,

  author = 	 {F.~Haftmann},

  title = 	 {{C}ode {G}eneration from {S}pecifications in {H}igher-{O}rder {L}ogic},

  school = 	 {Technical University of Munich},

  year = 	 {2009}

}

@article{Harper99,

  author    = {R.~Harper},

  title     = {{P}roof-{D}irected {D}ebugging},

  journal   = {Journal of Functional Programming},

  volume    = {9},

  number    = {4},

  year      = {1999},

  pages     = {463-469}

}

@article{Yi06,

  author    = {K.~Yi},

  title     = {{E}ducational {P}earl: `{P}roof-{D}irected {D}ebugging' {R}evisited

               for a {F}irst-{O}rder {V}ersion},

  journal   = {Journal of Functional Programming},

  volume    = {16},

  number    = {6},

  year      = {2006},

  pages     = {663-670}

}

@Manual{PittsHOL4,

  title = 	 {{S}yntax and {S}emantics},

  author = 	 {A.~M.~Pitts},

  note = 	 {Part of the documentation for the HOL4 system.}

}

@article{OwensReppyTuron09,

  author = {S.~Owens and J.~Reppy and A.~Turon},

  title = {{R}egular-{E}xpression {D}erivatives {R}e-{E}xamined},

  journal = {Journal of Functional Programming},

  volume = 19,

  number = {2},

  year = 2009,

  pages = {173--190}

}

@Unpublished{KraussNipkow11,

  author = 	 {A.~Krauss and T.~Nipkow},

  title = 	 {{P}roof {P}earl: {R}egular {E}xpression {E}quivalence and {R}elation {A}lgebra},

  note = 	 {To appear in Journal of Automated Reasoning},

  year = 	 {2011}

}

@Book{Kozen97,

  author = 	 {D.~Kozen},

  title = 	 {{A}utomata and {C}omputability},

  publisher = 	 {Springer Verlag},

  year = 	 {1997}

}

@InProceedings{Almeidaetal10,

  author =       {J.~B.~Almeida and N.~Moriera and D.~Pereira and S.~M.~de Sousa},

  title =        {{P}artial {D}erivative {A}utomata {F}ormalized in {C}oq},

  booktitle =    {Proc.~of the 15th International Conference on Implementation

                  and Application of Automata},

  pages =        {59-68},

  year =         {2010},

  volume =       {6482},

  series =       {LNCS}

}

@incollection{Constable00,

  author    = {R.~L.~Constable and

               P.~B.~Jackson and

               P.~Naumov and

               J.~C.~Uribe},

  title     = {{C}onstructively {F}ormalizing {A}utomata {T}heory},

  booktitle = {Proof, Language, and Interaction},

  year      = {2000},

  publisher = {MIT Press},

  pages     = {213-238}

}

@techreport{Filliatre97,

  author = {J.-C. Filli\^atre},

  institution = {LIP - ENS Lyon},

  number = {97--04},

  title = {{F}inite {A}utomata {T}heory in {C}oq: 

           {A} {C}onstructive {P}roof of {K}leene's {T}heorem},

  type = {Research Report},

  year = {1997}

}

@article{OwensSlind08,

  author    = {S.~Owens and K.~Slind},

  title     = {{A}dapting {F}unctional {P}rograms to {H}igher {O}rder {L}ogic},

  journal   = {Higher-Order and Symbolic Computation},

  volume    = {21},

  number    = {4},

  year      = {2008},

  pages     = {377--409}

}

@article{Brzozowski64,

 author = {J.~A.~Brzozowski},

 title = {{D}erivatives of {R}egular {E}xpressions},

 journal = {Journal of the ACM},

 volume = {11},

 issue = {4},

 year = {1964},

 pages = {481--494},

 publisher = {ACM}

} 

@inproceedings{Nipkow98,

 author={T.~Nipkow},

 title={{V}erified {L}exical {A}nalysis},

 booktitle={Proc.~of the 11th International Conference on Theorem Proving in Higher Order Logics},

 series={LNCS},

 volume=1479,

 pages={1--15},

 year=1998

}

@inproceedings{BerghoferNipkow00,

  author={S.~Berghofer and T.~Nipkow},

  title={{E}xecuting {H}igher {O}rder {L}ogic},

  booktitle={Proc.~of the International Workshop on Types for Proofs and Programs},

  year=2002,

  series={LNCS},

  volume=2277,

  pages="24--40"

}

@book{HopcroftUllman69,

  author    = {J.~E.~Hopcroft and

               J.~D.~Ullman},

  title     = {{F}ormal {L}anguages and {T}heir {R}elation to {A}utomata},

  publisher = {Addison-Wesley},

  year      = {1969}

}

@inproceedings{BerghoferReiter09,

  author    = {S.~Berghofer and

               M.~Reiter},

  title     = {{F}ormalizing the {L}ogic-{A}utomaton {C}onnection},

  booktitle = {Proc.~of the 22nd International

               Conference on Theorem Proving in Higher Order Logics},

  year      = {2009},

  pages     = {147-163},

  series    = {LNCS},

  volume    = {5674}

}

@Article{Church40,

  author = 	 {A.~Church},

  title = 	 {{A} {F}ormulation of the {S}imple {T}heory of {T}ypes},

  journal = 	 {Journal of Symbolic Logic},

  year = 	 {1940},

  volume = 	 {5},

  number = 	 {2},

  pages = 	 {56--68}

}

@ARTICLE{Antimirov95,

    author = {V.~Antimirov},

    title = {{P}artial {D}erivatives of {R}egular {E}xpressions and 

     {F}inite {A}utomata {C}onstructions},

    journal = {Theoretical Computer Science},

    year = {1995},

    volume = {155},

    pages = {291--319}

}

@ARTICLE{Brzozowski10,

  author = {J.~A.~Brzozowski},

  title = {{Q}uotient {C}omplexity of {R}egular {L}anguages},

  journal = {Journal of Automata, Languages and Combinatorics},

  volume = {15},

  number = {1/2}, 

  pages = {71--89},

  year = 2010

} 

@book{Sakarovitch09,

  author    = {J.~Sakarovitch},

  title     = {{E}lements of {A}utomata {T}heory},

  publisher = {Cambridge University Press},

  year      = {2009}

}

@inproceedings{WuZhangUrban11,

  author    = {C.~Wu and X.~Zhang and C.~Urban},

  title     = {{A} {F}ormalisation of the {M}yhill-{N}erode {T}heorem based on {R}egular {E}xpressions

               ({P}roof {P}earl)},

  booktitle = {Proc.~of the 2nd International Conference on Interactive Theorem Proving},

  year      = {2011},

  pages     = {341--356},

  series    = {LNCS},

  volume    = {6898}

}