@article(AstesianoBKKMST02, author = "Egidio Astesiano and Michel Bidoit and H{\'e}l{\`e}ne Kirchner and Bernd Krieg-Br{\"u}ckner and Peter D. Mosses and Donald Sannella and Andrzej Tarlecki", year = "2002", title = "{CASL:} the Common Algebraic Specification Language", journal = "Theor. Comput. Sci.", volume = "286", number = "2", pages = "153--196", ) @article(BarwiseM78, author = "Jon Barwise and Yanis Moschovakis", year = "1978", title = "Global inductive definability", journal = "Journal of Symbolic Logic", volume = "43", pages = "521--534", ) @book(Buss86, author = "Samuel Buss", year = "1986", title = "Bounded Arithmetic", publisher = "Bibliopolis", address = "Naples", ) @article(DowekHK03, author = "Gilles Dowek and Th{\'e}r{\`e}se Hardin and Claude Kirchner", year = "2003", title = "Theorem Proving Modulo", journal = "J. Autom. Reasoning", volume = "31", number = "1", pages = "33--72", ) @inproceedings(EndrullisGHIK07, author = "J{\"o}rg Endrullis and Clemens Grabmayer and Dimitri Hendriks and Ariya Isihara and Jan Willem Klop", year = "2007", title = "Productivity of Stream Definitions", editor = "Erzs{\'e}bet Csuhaj-Varj{\'u} and Zolt{\'a}n {\'E}sik", booktitle = "FCT", series = "Lecture Notes in Computer Science", volume = "4639", publisher = "Springer", pages = "274--287", doi = "10.1007/978-3-540-74240-1\_24", ) @inproceedings(Fagin74, author = "Ronald Fagin", year = "1974", title = "Generalized first order spectra and polynomial time recognizable sets", editor = "R. Karp", booktitle = "Complexity of Computation", publisher = "SIAM-AMS", pages = "43--73", ) @inproceedings(Immerman89, author = "Neil Immerman", year = "1989", title = "Descriptive and Computational Complexity", booktitle = "FCT", pages = "244--245", ) @article(JonesS74, author = "N.G. Jones and A.L. Selman", year = "1974", title = "Turing machines and the spectra of first-order formulas", journal = "Journal of Symbolic Logic", volume = "39", pages = "139--150", ) @book(Kleene69, author = "Stephen C.\ Kleene", year = "1969", title = "Formalized Recursive Functions and Formalized Realizability", series = "Memoirs of the AMS", volume = "89", publisher = "American Mathematical Society", address = "Providence", ) @article(Leivant-foundational, author = "Daniel Leivant", year = "1994", title = "A foundational delineation of poly-time", journal = "Information and Computation", volume = "110", pages = "391--420", ) @inproceedings(Leivant-LCC, author = "Daniel Leivant", year = "1995", title = "Intrinsic theories and computational complexity", editor = "D. Leivant", booktitle = "Logic and Computational Complexity", series = "LNCS", publisher = "Springer-Verlag", address = "Berlin", pages = "177--194", ) @article(Leivant-intrinsic, author = "Daniel Leivant", year = "2002", title = "Intrinsic reasoning about functional programs {I}: {F}irst order theories", journal = "Annals of Pure and Applied Logic", volume = "114", pages = "117--153", doi = "10.1016/S0168-0072(01)00078-1", ) @article(Leivant-unipolar, author = "Daniel Leivant", year = "2004", title = "Intrinsic reasoning about functional programs {II}: unipolar induction and primitive-recursion", journal = "Theor. Comput. Sci.", volume = "318", number = "1-2", pages = "181--196", doi = "10.1016/j.tcs.2003.11.002", ) @article(Moschovakis89, author = "Yiannis N. Moschovakis", year = "1989", title = "The Formal Language of Recursion", journal = "J. Symb. Log.", volume = "54", number = "4", pages = "1216--1252", doi = "10.2307/2274814", ) @article(MossakowskiSRR06, author = "Till Mossakowski and Lutz Schr{\"o}der and Markus Roggenbach and Horst Reichel", year = "2006", title = "Algebraic-coalgebraic specification in {CoCasl}", journal = "J. Log. Algebr. Program.", volume = "67", number = "1-2", pages = "146--197", doi = "10.1016/j.jlap.2005.09.006", url = "http://dx.doi.org/10.1016/j.jlap.2005.09.006", ) @book(Mosses04, author = "Peter D. Mosses", year = "2004", title = "CASL Reference Manual, The Complete Documentation of the Common Algebraic Specification Language", series = "Lecture Notes in Computer Science", volume = "2960", publisher = "Springer", doi = "10.1007/b96103", ) @article(Padawitz00, author = "Peter Padawitz", year = "2000", title = "Swinging types=functions+relations+transition systems", journal = "Theor. Comput. Sci.", volume = "243", number = "1-2", pages = "93--165", doi = "10.1016/S0304-3975(00)00171-7", ) @incollection(Parsons70, author = "Charles Parsons", year = "1970", title = "On a number-theoretic choice schema and its relation to induction", editor = "A.\ Kino and J.\ Myhill and R.\ Vesley", booktitle = "Intuitionism and Proof Theory", publisher = "North-Holland", address = "Amsterdam", pages = "459--473", doi = "10.1016/S0049-237X(08)70771-7", ) @book(Prawitz65, author = "D. Prawitz", year = "1965", title = "Natural Deduction", publisher = "Almqvist and Wiksell", address = "Uppsala", ) @inproceedings(Reichel99, author = "Horst Reichel", year = "1999", title = "A Uniform Model Theory for the Specification of Data and Process Types", editor = "Didier Bert and Christine Choppy and Peter D. Mosses", booktitle = "WADT", series = "Lecture Notes in Computer Science", volume = "1827", publisher = "Springer", pages = "348--365", doi = "10.1007/978-3-540-44616-3\_20", ) @article(RotheTJ01, author = "Jan Rothe and Hendrik Tews and Bart Jacobs", year = "2001", title = "The Coalgebraic Class Specification Language {CCSL}", journal = "J. UCS", volume = "7", number = "2", pages = "175--193", url = "http://www.jucs.org/jucs_7_2/the_coalgebraic_class_specification", ) @article(Schroder08, author = "Lutz Schr{\"o}der", year = "2008", title = "Bootstrapping Inductive and Coinductive Types in {HasCASL}", journal = "Logical Methods in Computer Science", volume = "4", number = "4", doi = "10.2168/LMCS-4(4:17)2008", url = "http://dx.doi.org/10.2168/LMCS-4(4:17)2008", ) @article(Sijtsma89, author = "Ben A. Sijtsma", year = "1989", title = "On the Productivity of Recursive List Definitions", journal = "ACM Trans. Program. Lang. Syst.", volume = "11", number = "4", pages = "633--649", doi = "10.1145/69558.69563", ) @inproceedings(Tarski52, author = "Alfred Tarski", year = "1952", title = "Some notions and methods on the borderline of algebra and metamathematics", booktitle = "Proceedings of the International Congress of Mathematicians I", publisher = "American Mathematical Society", address = "Providence, RI", pages = "705--720", )