@incollection{myhillnerodeafp11, author = {C.~Wu and X.~Zhang and C.~Urban}, title = {{T}he {M}yhill-{N}erode {T}heorem based on {R}egular {E}xpressions}, 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journal = {Journal of Functional Programming}, volume = 19, number = {2}, year = 2009, pages = {173--190}}@Unpublished{KraussNipkow11, author = {A.~Krauss and T.~Nipkow}, title = {{P}roof {P}earl: {R}egular {E}xpression {E}quivalence and {R}elation {A}lgebra}, note = {To appear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}}