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 @article {Kapovich_2005, AUTHOR = {Kapovich, Ilya and Weidmann, Richard and Miasnikov, Alexei}, TITLE = {Foldings, graphs of groups and the membership problem}, JOURNAL = {Internat. J. Algebra Comput.}, FJOURNAL = {International Journal of Algebra and Computation}, VOLUME = 15, YEAR = 2005, NUMBER = 1, PAGES = {95--128}, ISSN = {0218-1967}, DOI = {10.1142/S021819670500213X}, URL = {http://dx.doi.org/10.1142/S021819670500213X} } @book{Kleene52, author="Kleene, S.C.", title="Introduction to metamathematics", year=1952, publisher={North-Holland Publishing Company}, reviews="JSL 19.215; JSL 25.280; JSL 33.290; JSL 35.350; JSL38.333; MR 14.525 ; ZBL 47.7", note="Co-publisher: Wolters--Noordhoff; 8th revised ed.1980." } @book {Serre_1977, AUTHOR = {Serre, Jean-Pierre}, TITLE = {Arbres, amalgames, {${\rm SL}_{2}$}}, NOTE = {Avec un sommaire anglais, R{\'e}dig{\'e} avec la collaboration de Hyman Bass, Ast{\'e}risque, No. 46}, PUBLISHER = {Soci\'et\'e Math\'ematique de France}, ADDRESS = {Paris}, YEAR = {1977}, PAGES = {189 pp. (1 plate)}, } @incollection {Janson_2008, AUTHOR = {Janson, Svante}, TITLE = {Plane recursive trees, {S}tirling permutations and an urn model}, BOOKTITLE = {Fifth {C}olloquium on {M}athematics and {C}omputer {S}cience}, SERIES = {Discrete Math. Theor. Comput. Sci. Proc., AI}, PAGES = {541--547}, PUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy}, YEAR = {2008}, } @inproceedings {DiekertDuncanMiasnikov_2010, author = {Diekert, V. and Duncan, A.~J. and Miasnikov, A.~G.}, title = {Geodesic rewriting systems and pregroups}, BOOKTITLE = {Combinatorial and Geometric Group Theory, Dortmund and Carleton Conferences}, SERIES = {Trends in Mathematics}, EDITOR = {Bogopolski, O. and Bumagin, I. and Kharlampovich, O. and Ventura, E.}, PAGES = {55--91}, PUBLISHER = {Birkh\"auser}, ADDRESS = {Basel}, YEAR = {2010}, IBSN = {978-3-7643-9910-8}, } @article {Cannonito_1966, AUTHOR = {Cannonito, Frank B.}, TITLE = {Hierarchies of computable groups and the word problem}, JOURNAL = {J. Symbolic Logic}, FJOURNAL = {The Journal of Symbolic Logic}, VOLUME = {31}, YEAR = {1966}, PAGES = {376--392}, ISSN = {0022-4812}, MRCLASS = {02.77}, MRNUMBER = {0224471 (37 \#70)}, MRREVIEWER = {K. Appel}, } @article {Gatterdam_1973, AUTHOR = {Gatterdam, R. W.}, TITLE = {The computability of group constructions. {II}}, JOURNAL = {Bull. Austral. Math. Soc.}, FJOURNAL = {Bulletin of the Australian Mathematical Society}, VOLUME = {8}, YEAR = {1973}, PAGES = {27--60}, ISSN = {0004-9727}, MRCLASS = {02F47 (20F10)}, MRNUMBER = {0446939 (56 \#5256)}, MRREVIEWER = {L. Bokut}, } @incollection {Cannonito_1973, AUTHOR = {Cannonito, F. B. and Gatterdam, R. W.}, TITLE = {The computability of group constructions. {I}}, BOOKTITLE = {Word problems: decision problems and the {B}urnside problem in group theory ({C}onf., {U}niv. {C}alifornia, {I}rvine, {C}alif. 1969; dedicated to {H}anna {N}eumann)}, PAGES = {365--400. Studies in Logic and the Foundations of Math., Vol. 71}, PUBLISHER = {North-Holland}, ADDRESS = {Amsterdam}, YEAR = {1973}, MRCLASS = {02F47 (20F10)}, MRNUMBER = {0446938 (56 \#5255)}, MRREVIEWER = {L. Bokut}, } @book {Gatterdam_1970, AUTHOR = {Gatterdam, Ronald Wallace}, TITLE = {E{MBEDDINGS} {OF} {PRIMITIVE} {RECURSIVE} {COMPUTABLE} {GROUPS}}, NOTE = {Thesis (Ph.D.)--University of California, Irvine}, PUBLISHER = {ProQuest LLC, Ann Arbor, MI}, YEAR = {1970}, PAGES = {99}, MRCLASS = {Thesis}, MRNUMBER = {2619753}, URL = {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:7104289}, } @article {Grzegorczyk_1953, AUTHOR = {Grzegorczyk, Andrzej}, TITLE = {Some classes of recursive functions}, JOURNAL = {Rozprawy Mat.}, VOLUME = {4}, YEAR = {1953}, PAGES = {46}, MRCLASS = {02.0X}, MRNUMBER = {0060426 (15,667d)}, MRREVIEWER = {I. Novak G{\'a}l}, } @article {Hoare_1988, AUTHOR = {Hoare, A. H. M.}, TITLE = {Pregroups and length functions}, JOURNAL = {Math. Proc. Cambridge Philos. Soc.}, FJOURNAL = {Mathematical Proceedings of the Cambridge Philosophical Society}, VOLUME = {104}, YEAR = {1988}, NUMBER = {1}, PAGES = {21--30}, ISSN = {0305-0041}, CODEN = {MPCPCO}, } @incollection {Rimlinger_1987b, AUTHOR = {Rimlinger, Frank}, TITLE = {A subgroup theorem for pregroups}, BOOKTITLE = {Combinatorial group theory and topology ({A}lta, {U}tah, 1984)}, SERIES = {Ann. of Math. Stud.}, VOLUME = {111}, PAGES = {163--174}, PUBLISHER = {Princeton Univ. Press}, ADDRESS = {Princeton, NJ}, YEAR = {1987}, } @article {Rimlinger_1987a, AUTHOR = {Rimlinger, Frank}, TITLE = {Pregroups and {B}ass-{S}erre theory}, JOURNAL = {Mem. Amer. Math. Soc.}, FJOURNAL = {Memoirs of the American Mathematical Society}, VOLUME = {65}, YEAR = {1987}, NUMBER = {361}, PAGES = {viii+73}, ISSN = {0065-9266}, } @article{Ritchie_1965, title={Classes of recursive functions based on {A}ckermann's function}, journal={Pacific J. Math.}, author={Ritchie, R. W.}, volume=15, pages={1027--44}, year=1965 } @book {Stallings_1971, AUTHOR = {Stallings, John}, TITLE = {Group theory and three-dimensional manifolds}, NOTE = {A James K. Whittemore Lecture in Mathematics given at Yale University, 1969, Yale Mathematical Monographs, 4}, PUBLISHER = {Yale University Press}, ADDRESS = {New Haven, Conn.}, YEAR = {1971}, PAGES = {v+65}, MRCLASS = {57A10 (20E30)}, MRNUMBER = {0415622 (54 \#3705)}, MRREVIEWER = {Edward M. Bloomberg}, } @incollection {Stallings_1987, AUTHOR = {Stallings, John R.}, TITLE = {Adian groups and pregroups}, BOOKTITLE = {Essays in group theory}, SERIES = {Math. Sci. Res. Inst. Publ.}, VOLUME = {8}, PAGES = {321--342}, PUBLISHER = {Springer}, ADDRESS = {New York}, YEAR = {1987}, } @article {Rabin_1960, AUTHOR = {Rabin, Michael O.}, TITLE = {Computable algebra, general theory and theory of computable fields. }, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {95}, YEAR = {1960}, PAGES = {341--360}, ISSN = {0002-9947}, MRCLASS = {02.00 (08.00)}, MRNUMBER = {0113807 (22 \#4639)}, MRREVIEWER = {G. Kreisel}, } @book {Rose_1984, AUTHOR = {Rose, H. E.}, TITLE = {Subrecursion: functions and hierarchies}, SERIES = {Oxford Logic Guides}, VOLUME = {9}, PUBLISHER = {The Clarendon Press Oxford University Press}, ADDRESS = {New York}, YEAR = {1984}, PAGES = {xiii+191}, ISBN = {0-19-853189-3}, MRCLASS = {03-02 (03D20)}, MRNUMBER = {752696 (86g:03004)}, MRREVIEWER = {R. Verbeek}, }