@BOOK{MOST:1, AUTHOR={Andrzej Mostowski}, TITLE={Constructible Sets with Applications}, PUBLISHER={North Holland}, YEAR=1969} @BOOK{BORSUK:1, AUTHOR={Karol Borsuk and Wanda Szmielew}, TITLE={Foundations of Geometry}, PUBLISHER={North Holland}, YEAR=1960} @ARTICLE{TARSKI:1, AUTHOR={Alfred Tarski}, TITLE={{\"U}ber unerreichbare {K}ardinalzahlen}, JOURNAL={Fundamenta Mathematicae}, YEAR=1938, VOLUME=30, PAGES={68--89}} @ARTICLE{TARSKI:2, AUTHOR={Alfred Tarski}, TITLE={On Well-ordered Subsets of any Set}, JOURNAL={Fundamenta Mathematicae}, YEAR=1939, VOLUME=32, PAGES={176--183}} @TECHREPORT{EDMONTON:89, AUTHOR={Piotr Rudnicki and Andrzej Trybulec}, TITLE={A Collection of {\TeX ed} Mizar Abstracts}, INSTITUTION={University of Alberta}, YEAR=1989 } @BOOK{SZMIELEW:1, AUTHOR={Wanda Szmielew}, TITLE={From Affine to {E}uclidean Geometry}, PUBLISHER={PWN -- D.Reidel Publ. Co.}, YEAR=1983, VOLUME=27, ADDRESS={Warszawa -- Dordrecht}} @ARTICLE{KUSAK:1, AUTHOR={Eugeniusz Kusak}, TITLE={A New Approach to Dimension-free Affine Geometry}, JOURNAL={Bull. Acad. Polon. Sci. S{\'e}r. Sci. Math.}, YEAR=1979, VOLUME=27, NUMBER={11--12}, PAGES={875--882}} @BOOK{KURAT:1, AUTHOR={Kazimierz Kuratowski}, TITLE={Wst{\c{e}}p do teorii mnogo{\'s}ci i topologii}, PUBLISHER={PWN}, YEAR=1977, ADDRESS={War\-sza\-wa}} @BOOK{KURAT-MOST:1, AUTHOR={Kazimierz Kuratowski and Andrzej Mostowski}, TITLE={Teoria mnogo{\'s}ci}, PUBLISHER={PTM}, YEAR=1952, ADDRESS={Wroc\-{\l}aw}} @BOOK{KARGAP:1, AUTHOR = {M. I. Kargapo{\l}ow and J. I. Mierzlakow}, TITLE = {Podstawy teorii grup}, PUBLISHER = {PWN}, YEAR = 1989, ADDRESS = {War\-sza\-wa}} @BOOK{GUZ-ZBIER:1, AUTHOR = {Wojciech Guzicki and Pawe{\l} Zbierski}, TITLE = {Podstawy teorii mnogo{\'s}ci}, PUBLISHER = {PWN}, YEAR = 1978, ADDRESS = {War\-sza\-wa}} @BOOK{DIEUDONNE, AUTHOR = {Jean Dieudonn{\'e}}, TITLE = {Foundations of Modern Analysis}, PUBLISHER = {Academic Press}, YEAR = {1960}, ADDRESS = {New York and London}} @BOOK{MACKEY, AUTHOR = {G.W.Mackey}, TITLE = {The Mathematical Foundations of Quantum Mechanics}, PUBLISHER = {North Holland}, YEAR = {1963}, ADDRESS = {New York, Amsterdam}} @BOOK{Form.Math.1(1), TITLE = {Formalized {M}athematics: a computer assisted approach}, PUBLISHER = {Universit{\'e} Catholique de Louvain}, YEAR = {1990}, VOLUME = {1({\bf 1})}, NUMBER = {1}, MONTH = {January}} @ARTICLE{INTR.1(1), AUTHOR = {Trybulec, Andrzej}, TITLE = {Introduction}, JOURNAL = {Formalized {M}athematics}, PUBLISHER = {Universit{\'e} Catholique de Louvain}, YEAR = {1990}, VOLUME = {1({\bf 1})}, MONTH = {January}, PAGES = {7--8}} @BOOK{Form.Math.1(2), TITLE = {Formalized {M}athematics: a computer assisted approach}, PUBLISHER = {Universit{\'e} Catholique de Louvain}, YEAR = {1990}, VOLUME = {1({\bf 2})}, NUMBER = {2}, MONTH = {March--April}} @BOOK{Form.Math.2(1), TITLE = {Formalized {M}athematics: a computer assisted approach}, PUBLISHER = {Universit{\'e} Catholique de Louvain}, YEAR = {1991}, VOLUME = {2({\bf 1})}, NUMBER = {1}, MONTH = {January--February}} @BOOK{Form.Math.2(4), TITLE = {Formalized {M}athematics: a computer assisted approach}, PUBLISHER = {Universit{\'e} Catholique de Louvain}, YEAR = {1991}, VOLUME = {2({\bf 4})}, NUMBER = {4}, MONTH = {September--October}} @ARTICLE{POGORZELSKI.1975, AUTHOR = {Pogorzelski, Witold A. and Prucnal, Tadeusz}, TITLE = {The Substitution Rule for Predicate Letters in the First-Order Predicate Calculus}, JOURNAL = {Reports on Mathematical Logic}, YEAR = {1975}, NUMBER = {5}, PAGES = {77--90}} @BOOK{LUKA:1, AUTHOR = {Jan {\L}ukasiewicz}, TITLE = {Elementy logiki matematycznej}, PUBLISHER = {PWN}, YEAR = {1958}, ADDRESS = {Warszawa}} @BOOK{BORSUK:2, AUTHOR = {Borsuk, Karol}, TITLE = {Theory of Shape}, PUBLISHER = {PWN}, YEAR = {1975}, VOLUME = {59}, SERIES = {Monografie Matematyczne}, ADDRESS = {Warsaw}} @ARTICLE{BORSUK:3, AUTHOR = {Borsuk, Karol}, TITLE = {On the Homotopy Types of Some Decomposition Spaces}, JOURNAL = {Bull. Acad. Polon. Sci.}, YEAR = {1970}, NUMBER = {18}, PAGES = {235--239}} @BOOK{SIKORSKI:1, AUTHOR = {R. Sikorski}, TITLE = {Rachunek r{\'o}{\.z}niczkowy i ca{\l}kowy -- funkcje wielu zmiennych}, PUBLISHER = {PWN - Warszawa}, SERIES = {Biblioteka Matematyczna}, YEAR = {1968}} @BOOK{GRZEG1, AUTHOR = {Andrzej Grzegorczyk}, TITLE = {Zarys logiki matematycznej}, PUBLISHER = {PWN}, YEAR = {1973}, ADDRESS = {Warsaw}} @BOOK{Wilson, AUTHOR = { Robin Wilson}, TITLE = { Wprowadzenie do teorii graf{\'o}w}, PUBLISHER = { PWN}, YEAR = { 1985}} @ARTICLE{LAMBEK:1, AUTHOR = {Lambek, Joachim}, TITLE = {The Mathematics of Sentence Structure}, JOURNAL = {American Mathematical Monthly}, YEAR = {1958}, NUMBER = {65}, PAGES = {154--170}} @BOOK{MacLane:1, AUTHOR = {Saunders Mac Lane}, TITLE = {Categories for the Working Mathematician}, PUBLISHER = {Springer Verlag}, YEAR = {1971}, VOLUME = {5}, SERIES = {Graduate Texts in Mathematics}, ADDRESS = {New York, Heidelberg, Berlin}} @BOOK{BOURBAKI, AUTHOR = {Nicolas Bourbaki}, TITLE = {Elements de Mathematique}, PUBLISHER = {HERMANN}, YEAR = {1960}, VOLUME = {Topologie Generale}, EDITION = {Troisieme edition}} @BOOK{MUZALEWSKI:1, AUTHOR = {Muzalewski,Micha{\l}}, TITLE = {Foundations of {M}etric-{A}ffine {G}eometry}, PUBLISHER = {Dzia{\l} {W}ydawnictw {F}ilii {U}{W} w {B}ia{\l}ymstoku}, ADDRESS = {Filia {UW} w Bia{\l}ymstoku}, YEAR = {1990}} @BOOK{SEMAD, AUTHOR = {Zbigniew Semadeni and Antoni Wiweger}, TITLE = {Wst{\c e}p do teorii kategorii i funktor{\'o}w}, PUBLISHER = {PWN}, YEAR = {1978}, VOLUME = {45}, SERIES = {Biblioteka Matematyczna}, ADDRESS = {Warszawa}} @BOOK{KELL55, AUTHOR = {John L. Kelley}, TITLE = {General Topology}, PUBLISHER = {von Nostrand}, YEAR = {1955}, VOLUME = {I,II}} @BOOK{KURAT:2, AUTHOR = {Kazimierz Kuratowski}, TITLE = {Topology}, PUBLISHER = {PWN -- Polish Scientific Publishers, Academic Press}, YEAR = {1966}, VOLUME = {I}, ADDRESS = {Warsaw, New York and London}} @BOOK{RASIOWA-SIKOR, AUTHOR = {Rasiowa, Helena and Sikorski, Roman}, TITLE = {The Mathematics of Metamathematics}, PUBLISHER = {PWN}, YEAR = {1968}, VOLUME = {41}, SERIES = {Monografie Matematyczne}, ADDRESS = {Warszawa}} @BOOK{TRACZYK, AUTHOR = {Traczyk, Tadeusz}, TITLE = {Wst{\c e}p do teorii algebr {B}oole'a}, PUBLISHER = {PWN}, YEAR = {1970}, VOLUME = {37}, SERIES = {Biblioteka Matematyczna}, ADDRESS = {Warszawa}} @BOOK{HUNGERFORD, AUTHOR = {Hungerford, Thomas W.}, TITLE = {Algebra}, PUBLISHER = {Springer-Verlag New York Inc.}, YEAR = {1974}, VOLUME = {73}, SERIES = {Graduate Texts in Mathematics}, ADDRESS = {Seattle, Washington USA}, EDITION = {{D}epartment of {M}athematics {U}niversity of {W}ashington}} @BOOK{Lang, AUTHOR = {Lang, Serge}, TITLE = {Algebra}, PUBLISHER = {PWN}, YEAR = {1984}, ADDRESS = {Warszawa}} @BOOK{POGO:1, AUTHOR = {Witold A. Pogorzelski}, TITLE = {Klasyczny Rachunek Predykat\' ow}, PUBLISHER = {PWN}, YEAR = {1981}, ADDRESS = {Warszawa}} @ARTICLE{POGO:2, AUTHOR = {W{\l}odzimierz Lesisz and Witold A. Pogorzelski}, TITLE = {A Simplified Definition of the Notion of Similarity between Formulas of the First Order Predicate Calculus}, JOURNAL = {Reports on Mathematical Logic}, YEAR = {1976}, NUMBER = {7}, PAGES = {63--69}} @BOOK{BIRKHOFF:1, AUTHOR = {Garrett Birkhoff}, TITLE = {Lattice Theory}, PUBLISHER = {Providence, Rhode Island}, YEAR = {1967}, ADDRESS = {New York}} @ARTICLE{ISOMICHI, AUTHOR = {Yoshinori Isomichi}, TITLE = {New Concepts in the Theory of Topological Space -- Supercondensed Set, Subcondensed Set, and Condensed Set}, JOURNAL = {Pacific Journal of Mathematics}, YEAR = {1971}, VOLUME = {38}, NUMBER = {3}, PAGES = {657--668}} @BOOK{MOST-KURAT:3, AUTHOR = {Kazimierz Kuratowski and Andrzej Mostowski}, TITLE = {Set Theory (with an introduction to descriptive set theory)}, PUBLISHER = {PWN -- Polish Scientific Publishers and North-Holland Publishing Company}, YEAR = {1976}, VOLUME = {86}, SERIES = {Studies in Logic and The Foundations of Mathematics}, ADDRESS = {Warsaw-Amsterdam}} @ARTICLE{KURAT:4, AUTHOR = {Kazimierz Kuratowski}, TITLE = {Sur l'op\'{e}ration $\overline{A}$ de l'Analysis Situs}, JOURNAL = {Fundamenta Mathematicae}, YEAR = {1922}, VOLUME = {3}, PAGES = {182--199}} @BOOK{ENGEL:1, AUTHOR = {Ryszard Engelking}, TITLE = {General Topology}, PUBLISHER = {PWN -- Polish Scientific Publishers}, YEAR = {1977}, VOLUME = {60}, SERIES = {Monografie Matematyczne}, ADDRESS = {Warsaw}} @BOOK{CECH:1, AUTHOR = {Eduard \v{C}ech}, TITLE = {Topological Spaces}, PUBLISHER = {Academia, Publishing House of the Czechoslovak Academy of Sciences}, YEAR = {1966}, ADDRESS = {Prague}} @BOOK{BROWN:1, AUTHOR = {Robert H. Brown}, TITLE = {The {L}efschetz Fixed Point Theorem}, PUBLISHER = {Scott--Foresman}, YEAR = {1971}, ADDRESS = {New York}} @BOOK{DUG-GRAN:1, AUTHOR = {James Dugundji and Andrzej Granas}, TITLE = {Fixed Point Theory}, PUBLISHER = {PWN -- Polish Scientific Publishers}, YEAR = {1982}, VOLUME = {I}, ADDRESS = {Warsaw}} @ARTICLE{BROUWER:1, AUTHOR = {L. Brouwer}, TITLE = {{\"U}ber {A}bbildungen von {M}annigfaltigkeiten}, JOURNAL = {Mathematische Annalen}, YEAR = {1912}, VOLUME = {38}, NUMBER = {71}, PAGES = {97--115}} @ARTICLE{STONE:1, AUTHOR = {M. H. Stone}, TITLE = {Algebraic Characterizations of Special {B}oolean Rings}, JOURNAL = {Fundamenta Mathematicae}, YEAR = {1937}, VOLUME = {29}, PAGES = {223--303}} @TECHREPORT{TAKE-NAKA, AUTHOR = {Yukio Takeuchi and Yatsuka Nakamura}, TITLE = {On the {J}ordan curve theorem}, INSTITUTION = {Dept. of Information Eng., Shinshu University}, YEAR = {1980}, NUMBER = {19804}, ADDRESS = {500 Wakasato, Nagano city, Japan}, MONTH = {April}} @TECHREPORT{On, AUTHOR = {Yukio Takeuchi and Yatsuka Nakamura}, TITLE = {On the {J}ordan curve theorem}, INSTITUTION = {Dept. of Information Eng., Shinshu University}, YEAR = {1980}, NUMBER = {19804}, ADDRESS = {500 Wakasato, Nagano city, Japan}, MONTH = {April}} @BOOK{PATKOWSKA:74, AUTHOR = {Hanna Patkowska}, TITLE = {Wst{\c e}p do Topologii}, PUBLISHER = {PWN}, YEAR = {1974}, ADDRESS = {Warszawa}} @ARTICLE{STONE:2, AUTHOR = {A. H. Stone}, TITLE = {Paracompactness and Product Spaces}, JOURNAL = {Bull. Amer. Math. Soc.}, YEAR = {1948}, VOLUME = {54}, PAGES = {977--982}} @ARTICLE{RUDIN:1, AUTHOR = {M. E. Rudin}, TITLE = {A new proof that metric spaces are paracompact}, JOURNAL = {Proc. Amer. Math. Soc.}, YEAR = {1969}, VOLUME = {20}, PAGES = {603}} @BOOK{Dick, AUTHOR = {Dick Wick Hall and Guilford L.Spencer II}, TITLE = {Elementary Topology}, PUBLISHER = {John Wiley \& Sons Inc.}, YEAR = {1955}} @TECHREPORT{NAKAMURA1, AUTHOR = {Yatsuka Nakamura}, TITLE = {On a Mathematical Model of {CPU} and Algorithm}, INSTITUTION = {Shinshu University}, YEAR = {1991}, MONTH = {Aug}} @ARTICLE{ELGOT-ROBIN, AUTHOR = {Elgot, C.C. and Robinson, A.}, TITLE = {Random Access Stored-Program Machines, an Approach to Programming Languages}, JOURNAL = {J.A.C.M.}, YEAR = {1964}, VOLUME = {11}, NUMBER = {4}, PAGES = {365--399}, MONTH = {Oct}} @INPROCEEDINGS{Nakamura:2, AUTHOR = {Nakamura, Yatsuka}, TITLE = {Finite Topology Concept for Discrete Spaces}, BOOKTITLE = {Proceedings of the Eleventh Symposium on Applied Functional Analysis}, YEAR = {1988}, EDITOR = {H.~Umegaki}, PAGES = {111--116}, ORGANIZATION = {Science University of Tokyo}, ADDRESS = {Noda-City, Chiba, Japan}} @ARTICLE{Nakamura:3, AUTHOR = {Nakamura, Yatsuka and Fuwa, Yasushi and Imura, Hiroshi}, TITLE = {A Theory of Finite Topology and Image Processing}, JOURNAL = {Journal of the Faculty of Engineering, Shinshu University}, YEAR = {1991}, NUMBER = {69}, PAGES = {11--24}, MONTH = {Sep.}} @INPROCEEDINGS{Nakamura:4, AUTHOR = {Kawamoto, Pauline N. and Eguchi, Masayoshi and Fuwa, Yasushi and Nakamura, Yatsuka}, TITLE = {Deadlocks\Traps which Result from the Order-Dependence of {P}etri Net Transitions}, BOOKTITLE = {Shinetsu Shibu Conv. Rec.}, YEAR = {1992}, PAGES = {345-346}, ORGANIZATION = {IEICE}, MONTH = {Oct}} @BOOK{SZABO, AUTHOR = {M. E. Szabo}, TITLE = {Algebra of Proofs}, PUBLISHER = {North Holland}, YEAR = 1978} @BOOK{KURAT:3, AUTHOR = {Kazimierz Kuratowski}, TITLE = {Topology}, PUBLISHER = {PWN -- Polish Scientific Publishers, Academic Press}, YEAR = {1968}, VOLUME = {II}, ADDRESS = {Warsaw, New York and London}} @INPROCEEDINGS{Nakamura:5, AUTHOR = {Kawamoto, Pauline N. and Eguchi, Masayoshi and Fuwa, Yasushi and Nakamura, Yatsuka}, TITLE = {The Detection of Deadlocks in {P}etri Nets with Ordered Evaluation Sequences}, BOOKTITLE = {Institute of Electronics, Information, and Communication Engineers (IEICE) Technical Report}, YEAR = {1993}, PAGES = {45-52}, ORGANIZATION = {Institute of Electronics, Information, and Communication Engineers (IEICE)}, MONTH = {January}, NOTE = {}} @BOOK{SIKORSKI:2, AUTHOR = {Sikorski, Roman}, TITLE = {Boolean Algebras}, PUBLISHER = {Springer-Verlag}, YEAR = {1960}, VOLUME = {25}, SERIES = {Ergebnisse der Mathematik und ihrer Grenzgebiete}, NOTE = {}} @BOOK{DIJKSTRA, AUTHOR = {Edsger W. Dijkstra}, TITLE = {Selected Writings on Computing, a Personal Perspective}} @ARTICLE{STONE:3, AUTHOR = {M. H. Stone}, TITLE = {Application of {B}oolean algebras to topology}, JOURNAL = {Math. Sb.}, YEAR = {1936}, VOLUME = {1}, PAGES = {765--771}} @ARTICLE{Tar-Wir1, AUTHOR = {Andrzej Tarlecki and Martin Wirsing}, TITLE = {Continuous Abstract Data Types}, JOURNAL = {Fundamenta Informaticae}, SERIES = {Annales Societatis Mathematicae Polonae}, YEAR = {1986}, VOLUME = {9}, NUMBER = {1}, PAGES = {95--125}} @BOOK{ALEX-HOPF, AUTHOR = {P. Alexandroff and H. H. Hopf}, TITLE = {Topologie {I}}, PUBLISHER = {Springer-Verlag}, YEAR = {1935}, ADDRESS = {Berlin}} @BOOK{THRON:1, AUTHOR = {W.J. Thron}, TITLE = {Topological Structures}, PUBLISHER = {Holt, Rinehart and Winston}, YEAR = {1966}, ADDRESS = {New York}} @ARTICLE{WARREN:1, AUTHOR = {R.H. Warren}, TITLE = {Identification spaces and unique uniformity}, JOURNAL = {Pacific Journal of Mathematics}, YEAR = {1981}, VOLUME = {95}, PAGES = {483--492}} @ARTICLE{GIRARD:TCS50, AUTHOR = {J.-Y. Girard}, TITLE = {Linear Logic}, JOURNAL = {Theoretical Computer Science}, YEAR = {1987}, VOLUME = {50}, NUMBER = {1}, PAGES = {1--102}} @ARTICLE{YETTER, AUTHOR = {Yetter, Davide N.}, TITLE = {Quantales and (Noncommutative) Linear Logic}, JOURNAL = {The Journal of Symbolic Logic}, YEAR = {1990}, VOLUME = {55}, NUMBER = {1}, PAGES = {41--64}, MONTH = {March}} @ARTICLE{BLIKLE, AUTHOR = {A. Blikle}, TITLE = {An Analysis of Programs by Algebraic Means}, JOURNAL = {Banach Center Publications}, VOLUME = {2}, PAGES = {167--213}} @BOOK{ddq, AUTHOR = {Denning, P. J. and Dennis, J. B. and Qualitz, J. E.}, TITLE = {Machines, Languages, and Computation}, PUBLISHER = {Prentice-Hall}, YEAR = {1978}} @BOOK{BALCERZYK, AUTHOR = {Balcerzyk, Stanis{\l}aw}, TITLE = {Wst\c{e}p do algebry homologicznej}, PUBLISHER = {PWN}, YEAR = {1972}, VOLUME = {34}, SERIES = {Biblioteka Matematyczna}, ADDRESS = {Warszawa}} @ARTICLE{TarleckiBurstallGoguen, AUTHOR = {Tarlecki, Andrzej and Burstall, Rod M. and Goguen, Joseph, A.}, TITLE = {Some fundamental algebraic tools for the semantics of computation: Part 3. Indexed categories}, JOURNAL = {Theoretical Computer Science}, YEAR = {1991}, VOLUME = {91}, PAGES = {239--264}} @ARTICLE{GoguenBurstall, AUTHOR = {Goguen, Joseph A. and Burstall, Rod M.}, TITLE = {Introducing institutions}, JOURNAL = {Lecture Notes in Computer Science}, YEAR = {1984}, VOLUME = {164}, PAGES = {221--256}} @ARTICLE{BachmairDershowitz, AUTHOR = {Bachmair, Leo and Dershowitz, Nachum}, TITLE = {Critical Pair Criteria for Completion}, JOURNAL = {Journal of Symbolic Computation}, YEAR = {1988}, VOLUME = {6}, NUMBER = {1}, PAGES = {1--18}} @ARTICLE{KlopMiddeldorp, AUTHOR = {Klop, Jan Willem and Middeldorp, Aart}, TITLE = {An Introduction to {K}nuth-{B}endix Completion}, JOURNAL = {CWI Quarterly}, YEAR = {1988}, VOLUME = {1}, NUMBER = {3}, PAGES = {31--52}} @INPROCEEDINGS{KnuthBendix, AUTHOR = {Knuth, Donald E. and Bendix, Peter B.}, TITLE = {Simple word problems in universal algebras.}, BOOKTITLE = {Computational Problems in Abstract Algebras}, YEAR = {1970}, EDITOR = {J. Leech}, PAGES = {263--297}, PUBLISHER = {Pergamon}, ADDRESS = {Oxford}} @BOOK{HofLinCS, EDITOR = {Abramsky, S. and Gabbay, D.~M. and Maibaum, S.~E.}, TITLE = {Handbook of Logic in Computer Science, vol.~2: Computational structures}, PUBLISHER = {Clarendon Press}, YEAR = {1992}, ADDRESS = {Oxford}} @BOOK{WECHLER, AUTHOR = {Wolfgang Wechler}, TITLE = {Universal Algebra for Computer Scientists}, PUBLISHER = {Springer--Verlag}, YEAR = {1992}, VOLUME = {25}, SERIES = {EATCS Monographs on TCS}} @ARTICLE{Huet81, AUTHOR = {Huet, Gerard}, TITLE = {A Complete Proof of Correctness of the {K}nuth-{B}endix Completion}, JOURNAL = {Journal of Computer and System Sciences}, YEAR = {1981}, VOLUME = {23}, NUMBER = {1}, PAGES = {3--57}} @BOOK{CCL, AUTHOR = {Gierz, G. and Hofmann, K.H. and Keimel, K. and Lawson, J.D. and Mislove, M. and Scott, D.S.}, TITLE = {A Compendium of Continuous Lattices}, PUBLISHER = {Springer-Verlag}, YEAR = {1980}, ADDRESS = {Berlin, Heidelberg, New York}} @BOOK{Johnstone, AUTHOR = {Johnstone, Peter T.}, TITLE = {{S}tone Spaces}, PUBLISHER = {Cambridge University Press}, YEAR = {1982}, ADDRESS = {Cambridge, London, New York}} @ARTICLE{lns82, AUTHOR = {Lassez, J.-L. and Nguyen, V. L. and Sonenberg, E. A}, TITLE = {Fixed Point Theorems and Semantics: a folk tale}, JOURNAL = {Information Processing Letters}, YEAR = {1982}, VOLUME = {14}, NUMBER = {3}, PAGES = {112--116}} @ARTICLE{lcp95, AUTHOR = {Paulson, Lawrence C.}, TITLE = {Set Theory for Verification: {II}, Induction and Recursion}, JOURNAL = {Journal of Automated Reasoning}, YEAR = {1995}, VOLUME = {15}, NUMBER = {2}, PAGES = {167--215}} @ARTICLE{abi68, AUTHOR = {Abian, A.}, TITLE = {A fixed point theorem}, JOURNAL = {Nieuw Arch. Wisk.}, YEAR = {1968}, VOLUME = {3}, NUMBER = {16}, PAGES = {184--185}} @ARTICLE{maw69, AUTHOR = {M{\Pla}kowski, A. and Wi\'sniewski, K.}, TITLE = {{G}eneralization of {A}bian's fixed point theorem}, JOURNAL = {Annales Soc. Math. Pol. Series I}, YEAR = {1969}, VOLUME = {XIII}, PAGES = {63--65}} @BOOK{mgm, AUTHOR = {Murdeshwar, M.G.}, TITLE = {General Topology}, PUBLISHER = {Wiley Eastern}, YEAR = {1990}} @BOOK{takagi, AUTHOR = {Teiji Takagi}, TITLE = {Elementary Theory of Numbers}, PUBLISHER = {Kyoritsu Publishing Co., Ltd.}, YEAR = {1995}, EDITION = {Second}} @BOOK{shilov, EDITOR = {Georgi E. Shilov}, TITLE = {Elementary Real and Complex Analysis(English translation, translated by {R}ichard {A}. {S}ilverman)}, PUBLISHER = {The MIT Press}, YEAR = {1973}} @INPROCEEDINGS{tor96, AUTHOR = {Franzen, T.}, TITLE = {Teaching mathematics through formalism: a few caveats}, BOOKTITLE = {Proceedings of the {DIMACS} {S}ymposium on {T}eaching {L}ogic}, YEAR = {1996}, EDITOR = {D.~Gries}, ORGANIZATION = {DIMACS}, NOTE = { \\ On WWW: {\tt http://dimacs.rutgers.edu/Workshops/Logic/program.html} }} @BOOK{Greenberg, AUTHOR = {Greenberg, Marvin J.}, TITLE = {Lectures on Algebraic Topology}, PUBLISHER = {W.~A.~Benjamin, Inc.}, YEAR = {1973}} @BOOK{GanterWille, AUTHOR = {Bernhard Ganter and Rudolf Wille}, TITLE = {Formal Concept Analysis}, PUBLISHER = {Springer Verlag, Berlin, Heidelberg, New York}, YEAR = {1996}, NOTE = {(written in German)}} @BOOK{Ribenboim, AUTHOR = {Paulo Ribenboim}, TITLE = {The World of Prime Numbers}, PUBLISHER = {Kyoritsu Publishing Co., Ltd.}, YEAR = {1995}, EDITION = {Second}} @BOOK{BraBra96, AUTHOR = {Brassard, Gilles and Bratley, Paul}, TITLE = {Fundamentals of Algorithmics}, PUBLISHER = {Prentice Hall}, YEAR = {1996}} @BOOK{Gratzer, AUTHOR = {Gr\"atzer, George}, TITLE = {General Lattice Theory}, PUBLISHER = {Academic Press, New York}, YEAR = {1978}} @BOOK{Becker93, author = {Thomas Becker and Volker Weispfenning}, title = {Gr\"{o}bner Bases: A Computational Approach to Commutative Algebra}, year = {1993}, publisher = {Springer-Verlag, New York, Berlin}} @BOOK{MatTry77, AUTHOR = {Matuszewski, Roman and Trybulec, Andrzej}, TITLE = {Certain algorithm of classification in metric spaces}, PUBLISHER = {Warsaw University, Bialystok Campus}, YEAR = {1977}, VOLUME = {V, Number 20}, SERIES = {Mathematical Papers}} @BOOK{Uspenski60, AUTHOR = {V. A. Uspenskii}, TITLE = {Lektsii o vychislimykh funktsiakh}, PUBLISHER = {Gos. Izd. Phys.-Math. Lit., Moskva}, YEAR = {1960}} @ARTICLE{Huntington1, AUTHOR = {Huntington, E.~V.}, TITLE = {Sets of independent postulates for the algebra of logic}, JOURNAL = {Trans. AMS}, YEAR = {1904}, VOLUME = {5}, PAGES = {288--309}} @ARTICLE{Huntington2, AUTHOR = {Huntington, E.~V.}, TITLE = {New sets of independent postulates for the algebra of logic, with special reference to {W}hitehead and {R}ussell's {P}rincipia {M}athematica}, JOURNAL = {Trans. AMS}, YEAR = {1933}, VOLUME = {35}, PAGES = {274--304}} @ARTICLE{Huntington3, AUTHOR = {Huntington, E.~V.}, TITLE = {Boolean algebra. {A} correction}, JOURNAL = {Trans. AMS}, YEAR = {1933}, VOLUME = {35}, PAGES = {557--558}} @ARTICLE{McCuneRob, AUTHOR = {McCune, W.}, TITLE = {Solution of the {R}obbins problem}, JOURNAL = {Journal of Automated Reasoning}, YEAR = {1997}, VOLUME = {19}, PAGES = {263--276}} @ARTICLE{DahnRob, AUTHOR = {Dahn, B.~I.}, TITLE = {Robbins algebras are {B}oolean: A revision of {M}c{C}une's computer-generated solution of {R}obbins problem}, JOURNAL = {Journal of Algebra}, YEAR = {1998}, VOLUME = {208}, PAGES = {526--532}} @BOOK{arm74, AUTHOR = {Armstrong, W.~W.}, TITLE = {Dependency {S}tructures of {D}ata {B}ase {R}elationships}, PUBLISHER = {Information Processing 74, North Holland}, YEAR = {1974}} @BOOK{SLang, AUTHOR = {Lang, Serge}, TITLE = {Algebra}, PUBLISHER = {Addison-Wesley}, YEAR = {1980}} @BOOK{RUDIN:2, AUTHOR = {Rudin, Walter}, TITLE = {Real and Complex Analysis}, PUBLISHER = {Mc Graw-Hill, Inc.}, YEAR = {1974}} @BOOK{Maurin, AUTHOR = {Maurin, Krzysztof}, TITLE = {Analiza, {II}}, PUBLISHER = {PWN -- Warszawa}, SERIES = {Biblioteka Matematyczna}, VOLUME = {70}, YEAR = {1991}} @ARTICLE{Thomasse, AUTHOR = {Thomasse, Stephan}, TITLE = {On Better-quasi-ordering Countable Series-parallel Orders}, JOURNAL = {Transactions of the American Mathematical Society}, YEAR = {2000}, VOLUME = {352(6)}, PAGES = {2491--2505}} @ARTICLE{Gallai, AUTHOR = {Gallai, Tibor}, TITLE = {Transitiv Orientierbare Graphen}, JOURNAL = {Acta Math. Acad. Sci. Hungar.}, YEAR = {1967}, VOLUME = {18}, PAGES = {25--66}} @BOOK{Chagrov, AUTHOR = {Chagrov, A. and Zakharyaschev, M.}, TITLE = {Modal Logic}, PUBLISHER = {Clarendon Press, Oxford}, YEAR = {1997}} @BOOK{Newman51, AUTHOR = {Newman, M.~H.~A.}, TITLE = {Elements of the Topology of Plane Sets of Points}, PUBLISHER = {Cambridge University Press}, YEAR = {1951}} @ARTICLE{Dijkstra59, AUTHOR = {Dijkstra, E.~W.}, TITLE = {A Note on Two Problems in Connection with Graphs}, JOURNAL = {Numer. Math.}, YEAR = {1959}, VOLUME = {1}, PAGES = {269--271}} @BOOK{Halmos87, AUTHOR = {Halmos, P.~R.}, TITLE = {Introduction to {H}ilbert Space}, PUBLISHER = {American Mathematical Society}, YEAR = {1987}} @BOOK{Elmasri, AUTHOR = {Elmasri, Ramez and Navathe, Shamkant B.}, TITLE = {Fundamentals of Database Systems}, PUBLISHER = {Addison-Wesley}, YEAR = {2000}} @BOOK{Maier, AUTHOR = {Maier, David}, TITLE = {The Theory of Relational Databases}, PUBLISHER = {Computer Science Press, Rockville}, YEAR = {1983}} @BOOK{Csaszar, AUTHOR = {Csaszar, Akos}, TITLE = {General Topology}, PUBLISHER = {Akademiai Kiado, Budapest}, YEAR = {1978}} @ARTICLE{McCune:2001, AUTHOR = {McCune, W. and Veroff, R. and Fitelson, B. and Harris, K. and Feist, A. and Wos, L.}, TITLE = {Short Single Axioms for {B}oolean Algebra}, JOURNAL = {Journal of Automated Reasoning}, YEAR = {2002}, VOLUME = {29(1)}, PAGES = {1--16}} @ARTICLE{Meredith:1968, AUTHOR = {Meredith, C.~A. and Prior, A.~N.}, TITLE = {Equational Logic}, JOURNAL = {Notre Dame Journal of Formal Logic}, YEAR = {1968}, VOLUME = {9}, PAGES = {212--226}} @INPROCEEDINGS{Bancerek:2003, AUTHOR = {Bancerek, Grzegorz}, TITLE = {On the Structure of {M}izar Types}, BOOKTITLE = {Electronic Notes in Theoretical Computer Science}, YEAR = {2003}, VOLUME = {85}, ISSUE = {7}, PUBLISHER = {Elsevier}, EDITOR = {Herman Geuvers and Fairouz Kamareddine}} @BOOK{RockTyr:1970, AUTHOR = {Rockafellar, Tyrrell R.}, TITLE = {Convex Analysis}, PUBLISHER = {Princeton University Press}, YEAR = {1970}} @ARTICLE{Wronski:1974, AUTHOR = {Wro{\'n}ski, Andrzej}, TITLE = {Remarks on Intermediate Logics with Axioms Containing Only One Variable}, JOURNAL = {Reports on Mathematical Logic}, YEAR = {1974}, VOLUME = {2}, PAGES = {63--76}} @BOOK{Hall:1959, AUTHOR = {Hall Jr., Marshall}, TITLE = {The Theory of Groups}, PUBLISHER = {The Macmillan Company, New York}, YEAR = {1959}} @ARTICLE{Hall:1935, AUTHOR = {Hall, Philip}, TITLE = {On Representatives of Subsets}, JOURNAL = {Journal of London Mathematical Society}, YEAR = {1935}, VOLUME = {10}, PAGES = {26--30}} @ARTICLE{Sheffer:1913, AUTHOR = {Sheffer, Henry Maurice}, TITLE = {A Set of Five Independent Postulates for {B}oolean Algebras, with Application to Logical Constants}, JOURNAL = {Transactions of American Mathematical Society}, VOLUME = {14}, NUMBER = {4}, PAGES = {481--488}, YEAR = {1913}} @ARTICLE{Yabuta:01, AUTHOR = {Yabuta, Minoru}, TITLE = {A Simple Proof of {C}armichael's Theorem of Primitive Divisors}, JOURNAL = {The Fibonacci Quarterly}, VOLUME = {39}, NUMBER = {5}, PAGES = {439--443}, YEAR = {2001}} @ARTICLE{ANKPJG, AUTHOR = {Naumowicz, Adam and Pra\.zmowski, Krzysztof}, TITLE = {On {S}egre's Product of Partial Line Spaces and Spaces of Pencils}, JOURNAL = {Journal of Geometry}, VOLUME = {71}, NUMBER = {{\bf 1}}, PAGES = {128--143}, YEAR = {2001}} @ARTICLE{ANKPRM, AUTHOR = {Naumowicz, Adam and Pra\.zmowski, Krzysztof}, TITLE = {The Geometry of Generalized {V}eronese Spaces}, JOURNAL = {Results in Mathematics}, VOLUME = {45}, PAGES = {115--136}, YEAR = {2004}} @ARTICLE{Riguet, AUTHOR = {Riguet, Jacques}, TITLE = {Relations binaires, fermetures, correspondances de {G}alois}, JOURNAL = {Bulletin de la S.M.F.}, YEAR = {1948}, VOLUME = {76}, PAGES = {114--155}, NOTE = {On WWW: {\tt http://www.numdam.org/item?id=\-BSFM\_1948\_\_76\_\_114\_0}}} @ARTICLE{McCune:2005, AUTHOR = {McCune, W. and Padmanabhan, R. and Rose, M. A. and Veroff, R.}, TITLE = {Automated Discovery of Single Axioms for Ortholattices}, JOURNAL = {Algebra Universalis}, YEAR = {2005}, VOLUME = {52(4)}, PAGES = {541--549}} @BOOK{gl04, AUTHOR = {Lee, Gilbert}, TITLE = {Verification of graph algorithms in {M}izar}, PUBLISHER = {Dept. of Comp. Sci., University of Alberta}, ADDRESS = {Edmonton, Canada}, NOTE = {M Sc thesis, {\tt http://www.cs.ualberta.ca/\-\~{}piotr/Mizar/Doc/GL-thesis.ps}}, YEAR = {2004}} @BOOK{Hatcher, author = {Allen Hatcher}, title = {Algebraic Topology}, publisher = {Cambridge University Press}, year = {2002}} @InCollection{BrouwerJordan, AUTHOR = {Gauld, David}, TITLE = {Brouwer's {F}ixed {P}oint {T}heorem and the {J}ordan {C}urve {T}heorem}, NOTE = {{\tt http://aitken.math.auckland.ac.nz/\~{}gauld/750-05/section5.pdf}}} @BOOK{HardyWright, AUTHOR = {Hardy, G.H. and Wright, E.M.}, TITLE = {An Introduction to the Theory of Numbers}, PUBLISHER = {Oxford University Press}, YEAR = 1980} @BOOK{Minc78, AUTHOR = {Minc, H.}, TITLE = {Permanents}, JOURNAL = {Volume 6 of Encyclopedia of Mathematics and its applications}, PUBLISHER = {Addison-Wesley}, YEAR = 1978} @BOOK{LeVeque, AUTHOR = {LeVeque, W. J.}, TITLE = {Fundamentals of Number Theory}, PUBLISHER = {Dover Publication}, YEAR = {1996}, ADDRESS = {New York}} @BOOK{PFTB, AUTHOR = {Aigner, M. and Ziegler, G. M.}, TITLE = {Proofs from THE BOOK}, PUBLISHER = {Springer-Verlag}, YEAR = {2004}, ADDRESS = {Berlin Heidelberg New York}} @BOOK{ModernComputerAlgebra, AUTHOR={von zur Gathen, J. and Gerhard, J.}, TITLE={Modern {C}omputer {A}lgebra}, PUBLISHER={Cambridge University Press}, YEAR=1999} @ARTICLE{SCHUR:1, AUTHOR={Schur, J.}, TITLE={\"{U}ber algebraische {G}leichungen, die nur {W}urzeln mit negativen {R}ealteilen besitzen}, JOURNAL={Zeitschrift f\"{u}r angewandte Mathematik und Mechanik}, YEAR=1921, VOLUME=1, PAGES={307--311}} @BOOK{Halmos74, AUTHOR = {Halmos, P.~R.}, TITLE = {Measure Theory}, PUBLISHER = {Springer-Verlag}, YEAR = {1987}} @BOOK{Clarke2000, AUTHOR = {Clarke, E. M. and Grumberg, O. and Peled, D.}, TITLE = {Model Checking}, PUBLISHER = {MIT Press}, YEAR = {2000}} @BOOK{SIERPINSKI:1, AUTHOR={Sierpi{\'n}ski, Wac{\l}aw}, TITLE={Elementary Theory of Numbers}, PUBLISHER={PWN, Warsaw}, YEAR={1964}} @Book{Golumbic, author = {Golumbic, M. Ch.}, title = {Algorithmic Graph Theory and Perfect Graphs}, publisher = {Academic Press}, address = {New York}, year = {1980}} @article{TY84, author = {Tarjan, R. E. and Yannakakis, M.}, title = {Simple Linear-Time Algorithms to Test Chordality of Graphs, Test Acyclicity of Hypergraphs, and Selectively Reduce Acyclic Hypergraphs.}, journal = {SIAM J. Comput.}, volume = {13}, number = {3}, year = {1984}, pages = {566-579}} @TECHREPORT{Geanakoplos:1996, AUTHOR={Geanakoplos, John}, TITLE={Three Brief Proofs of Arrow's Impossibility Theorem}, YEAR={1996}, MONTH={April}, INSTITUTION={Cowles Foundation, Yale University}, TYPE={Cowles Foundation Discussion Papers}, NOTE={Available at http://ideas.repec.org/p/cwl/cwldpp/1123r3.html}, URL={http://ideas.repec.org/p/cwl/cwldpp/1123r3.html}, NUMBER={1123R3}} @BOOK{BCIAlgebras, AUTHOR = {Meng, Jie and Liu, YoungLin}, TITLE = {An Introduction to {BCI}-algebras}, PUBLISHER = {Shaanxi Scientific and Technological Press}, YEAR = {2001}} @BOOK{BCIAlgebras2, AUTHOR = {Huang, Yisheng}, TITLE = {{BCI}-algebras}, PUBLISHER = {Science Press}, YEAR = {2006}} @BOOK{Billingsley:1964, AUTHOR={Billingsley, P.}, TITLE={Ergodic Theory and Information}, PUBLISHER={John Wiley \& Sons}, YEAR={1964}} @BOOK{Hirasawa:1996, AUTHOR={Hirasawa, Shigeichi}, TITLE={Information Theory}, PUBLISHER={Baifukan CO.}, YEAR={1996}} @BOOK{HOPCROFT-ULLMAN:1979, AUTHOR={Hopcroft, John E. and Ullman, Jeffrey D.}, TITLE={Introduction to Automata Theory, Languages and Computation}, PUBLISHER={Addison-Wesley Publishing Company}, YEAR={1979}} @BOOK{WAITE-GOOS:1984, AUTHOR={ Waite, William M. and Goos, Gerhard}, TITLE={Compiler Construction}, PUBLISHER={Springer-Verlag New York Inc.}, YEAR={1984}} @BOOK{WALL-CHRISTIANSEN-ORWANT:2000, AUTHOR={Wall, Larry and Christiansen, Tom and Orwant, Jon}, TITLE={Programming Perl, Third Edition}, PUBLISHER={O'Reilly Media}, YEAR={2000}} @BOOK{BourbakiAlgI, AUTHOR = {Nicolas Bourbaki}, TITLE = {Elements of Mathematics. Algebra I. Chapters 1-3}, PUBLISHER = {Springer-Verlag}, YEAR = {1989}, ADDRESS = {Berlin, Heidelberg, New York, London, Paris, Tokyo}} @BOOK{Apostol:1969, AUTHOR = {Apostol, Tom M.}, TITLE = {Mathematical Analysis}, PUBLISHER = {Addison-Wesley}, YEAR = {1969}} @BOOK{Furuya:57, AUTHOR = {Furuya, Shigeru}, TITLE = {Matrix and Determinant}, PUBLISHER = {Baifuukan (in Japanese)}, YEAR = {1957}} @BOOK{Gantmacher:59, AUTHOR = {Gantmacher, Felix R.}, TITLE = {The Theory of Matrices}, PUBLISHER = {AMS Chelsea Publishing}, YEAR = {1959}} @BOOK{lang-algebra, author = {Lang, Serge}, title = {Algebra}, publisher = {Springer}, year = {2005}, edition = {3rd}} @Book{kelley, author = {Kelley, John L.}, title = {General Topology}, publisher = {Springer-Verlag}, year = {1955}, volume = {27}, series = {Graduate Texts in Mathematics}} @BOOK{Chemnitius:1956, AUTHOR={Chemnitius, Fritz}, TITLE={Differentiation und Integration ausgew\"ahlter Beispiele}, PUBLISHER={VEB Verlag Technik, Berlin}, YEAR={1956}} @BOOK{HuaLooKeng:1957, AUTHOR = {Hua Loo Keng}, TITLE = {Introduction to Number Theory}, PUBLISHER = {Beijing Science Publication}, YEAR = {1957}, ADDRESS = {China}} @BOOK{Dexin:1965, AUTHOR = {Zhang Dexin}, TITLE = {Integer Theory}, PUBLISHER = {Science Publication}, YEAR = {1965}, ADDRESS = {China}} @BOOK{yoshida:1980, AUTHOR={Kosaku Yoshida}, TITLE={Functional Analysis}, PUBLISHER={Springer}, YEAR={1980}} @BOOK{miyadera:1972, AUTHOR={Isao Miyadera}, TITLE={Functional Analysis}, PUBLISHER={Riko-Gaku-Sya}, YEAR={1972}} @BOOK{Dunford:1958, AUTHOR={Dunford, N. J. and Schwartz, T.}, TITLE={Linear operators {I}}, PUBLISHER={Interscience Publ.}, YEAR={1958}} @article{euler1758a, author = {Euler, Leonhard}, title = {Elementa Doctrinae Solidorum}, journal = {Novi Commentarii Academiae Scientarum Petropolitanae}, year = {1758}, volume = {4}, pages = {109-140}} @book{proofs-and-refutations, author = {Lakatos, Imre}, title = {Proofs and Refutations: The Logic of Mathematical Discovery}, publisher = {Cambridge University Press}, year = {1976}, note = {Edited by John Worrall and Elie Zahar}} @book{grunbaum2003, author = {Gr\"unbaum, Branko}, title = {Convex Polytopes}, publisher = {Springer}, year = {2003}, edition = {2nd}, series = {Graduate Texts in Mathematics}, number = {221}} @book{brondsted1983, author = {Br{\o}ndsted, Arne}, title = {An Introduction to Convex Polytopes}, publisher = {Springer}, year = {1983}, series = {Graduate Texts in Mathematics}} @article{poincare1893, author = {Poincar\'e, Henri}, title = {Sur la G\'en\'eralisation d'un Th\'er\`eme d'Euler relatif aux Poly\`edres}, journal = {Comptes Rendus de S\'eances de l'Academie des Sciences}, year = {1893}, volume = {117}, pages = {144}} @article{poincare1899, author = {Poincar\'e, Henri}, title = {Compl\'ement \`a l'Analysis Situs}, journal = {Rendiconti del Circolo Matematico di Palermo}, year = {1899}, volume = {13}, pages = {285-343}} @book{Schwartz:1981, author = {Schwartz, Laurent}, title = {Cours d'analyse}, publisher = {Hermann}, year = {1981}} @article{berline97kappadenotational, author = {Chantal Berline and Klaus Grue}, title = {A kappa-Denotational Semantics for Map Theory in {ZFC} + {SI}}, journal = {Theoretical Computer Science}, volume = {179}, number = {1-2}, pages = {137-202}, year = {1997}, url = {citeseer.ist.psu.edu/berline97kappadenotational.html}} @book{krivine93, author = {J.L. Krivine}, title = {Lambda-calculus, types and models}, isbn = {0-13-062407-1}, publisher = {Ellis \& Horwood}, year = {1993}}