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The Journal of Symbolic Logic 1998: Vol 63 Table of Contents PDF

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THE JOURNAL OF SYMBOLIC LOGIC EDITED BY HowaARD S. BECKER GERHARD JAGER MICHAEL RATHJEN HERBERT B. ENDERTON STEFFEN LEMPP PHILIP SCOWCROFT MATTHEW FOREMAN PENELOPE MADDY LOU VAN DEN DRIES NEIL IMMERMAN DaviD MARKER MICHIEL VAN LAMBALGEN WILLIAM J. MITCHELL VOLUME 63 1998 PUBLISHED QUARTERLY BY THE ASSOCIATION FOR SYMBOLIC LOGIC, INC. WITH SUPPORT FROM INSTITUTIONAL AND CORPORATE MEMBERS The four numbers of Volume 63 were issued at the following dates: Number 1, pages 1-336, March 6, 1998 Number 2, pages 337-752, June 4, 1998 Number 3, pages 753-1200, September 23, 1998 Number 4, pages 1201-1624, December 4, 1998 Numbers 1—4 of this volume are copyrighted ©1998 by the Association for Symbolic Logic, Inc. Reproduction of copyrighted numbers of the JouRNAL by photostat, photoprint, microfilm, or like process is forbidden, except by written permission, to be obtained from the Secretary of the Association, C. Ward Henson, Department of Mathematics, University of Illinois, 1409 W. Green St., Urbana, IL 61801. The paper used in this JOURNAL is acid-free and falls within the guidelines established to ensure permanence and durability. This JOURNAL has been registered with the Copyright Clearance Center, Inc. The appearance of a code at the bottom of the first page of an article indicates the copyright owner’s consent for copying beyond that permitted by Sections 107 or 108 of the U. S. Copyright Law, provided that the per-copy fee stated in the code is paid directly to Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923. This consent does not extend to copying for general distribution, for advertising or promotion purposes, for creating new collective works, or for resale. Specific written permission for such copying must be obtained from the Association. CONTENTS OF VOLUME 63 RESEARCH ARTICLES ANDREKA, HAJNAL, GOLDBLATT, ROBERT and Németi, IstvAN. Relativised quantification: Some canonical varieties of sequence-set algebras ANTONELLI, GIAN ALDO. Extensional quotients for type theory and the con- sistency problem for NF APTER, ARTHUR W. Laver indestructibility and the class of compact cardinals 149 APTER, ARTHUR W. and GiTik, Moti. The least measurable can be strongly compact and indestructible ARal, TOSHIYASU. Variations on a theme by Weiermann ARSLANOV, Marat M., LAForte, GEOFFREY L. and SLAMAN, THEODORE A. Relative enumerability in the difference hierarchy Avron, A. Multiplicative conjunction and an algebraic meaning of contrac- tion and weakening BAISALOV, YERZHAN and PoizaT, BRUNO. Paires de structures O-minimales . BALCERZAK, MAREK, ROSLANOWSKI, ANDRZEJ and SHELAH, SAHARON. Ideals without ccc BALDWIN, JOHN T. and SHELAH, SAHARON. DOP and FCP in generic structures BALLARD, Davib and BosHUCK, WILLIAM. Definability and descent BARENDREGT, HENK. See DEKKERS, WIL. Bays, TIMOTHY. Some two-cardinal results for O-minimal theories BELEGRADEK, OLEG V. On minimal structures BENEDIKT, MICHAEL. Ultrafilters which extend measures BERARDI, STEFANO, BEZEM, MARC and COQUAND, THIERRY. On the computa- tional content of the axiom of choice Bés, ALEXIS and RICHARD, Denis. Undecidable extensions of Skolem arith- BezeEM, Marc. See BERARDI, STEFANO. BIGELOW, STEPHEN. Supplements of bounded permutation groups BLuTE, R. F. and Scott, P. J. The shuffle Hopf algebra and noncommutative full completeness Borra, M. More on an undecidability result of Bateman, Jockusch and Woods BOSHUCK, WILLIAM. See BALLARD, DavID. BRIDGES, DoUGLAs and Mings, Ray. Sequentially continuous linear mappings in constructive analysis BUNDER, MartTIN. See DEKKERS, WIL. CHIARI, MARIO and KrasiceK, JAN. Witnessing functions in bounded arith- metic and search problems CHONG, C. T. and YANG, YUE. 2 induction and infinite injury priority argument, Part I: maximal sets and the jump operator COQUAND, THIERRY. See BERARDI, STEFANO. CUNNINGHAM, DaNIEL W. The fine structure of real mice D’ Aquino, PAoLa. Solving Pell equations locally in models of J Ap Deponis, MARK J. and NesIn, ALI. There are 2*° many almost strongly minimal generalized n-gons that do not interpret an infinite group DeKKERS, WIL, BUNDER, MARTIN and BARENDREGT, HENK. Completeness of the propositions-as-types interpretation of intuitionistic logic into illative combinatory logic DELON, FRANCOISE and SIMONETTA, PATRICK. Undecidable wreath products and skew power series fields Di Nasso, Mauro. Pseudo-superstructures as nonstandard universes E!TeR, THOMAS and GoTTLos, GEorG. On the expressiveness of frame satisfi- ability and fragments of second-order logic FELDMAN, NorMAN. The cylindric algebras of three-valued logic Foucue, W. L. and Potateter, P. H. Kolmogorov complexity and symmetric relational structures FRIEDMAN, Sy D. Generic saturation Gao, Su. On automorphism groups of countable structures GiTik, Moti. See APTER, ARTHUR W. GOLDBLATT, ROBERT. See ANDREKA, HAJNAL. GoTTLos, GeorG. See EITER, THOMAS. HAMKINS, JoeL Davip. Small forcing makes any cardinal superdestructible . 51 HAMKINS, JoeL Davip and SHELAH, SAHARON. Superdestructibility: A dual to Laver’s indestructibility HARRINGTON, LEO and Soare, Rosert I. Codable sets and orbits of com- putably enumerable sets HASKELL, DEIRDRE and MACPHERSON, DUGALD. A note on valuation definable expansions of fields HyortH, Grea. An absoluteness principle for Borel sets HurkKeEns, A. J. C., MCARTHUR, MONICA, MOSCHOVAKIS, YIANNIS N., Moss, LAWRENCE S. and WHITNEY, GLEN T. The logic of recursive equations .... JIN, RENLING and SHELAH, SAHARON. Compactness of Loeb spaces KEISLER, H. JEROME. Quantifier elimination for neocompact sets KERTH, RAINER. The interpretation of unsolvable A-terms in models of un- typed A-calculus KiM, BYUNGHAN. A note on Lascar strong types in simple theories KoePKE, PETER. Extenders, embedding normal forms, and the Martin-Steel- theorem KORNER, FRIEDERIKE. Automorphisms moving all non-algebraic points and an application to NF KOHLENBACH, ULRICH. Relative constructivity KOSZMIDER, PioTR. On the existence of strong chains in g(@,)/ Fin KRaJiceK, JAN. Discretely ordered modules as a first-order extension of the cutting planes proof system . See CHIARI, MARIO. KULPESHOV, B. SH. Weakly o-minimal structures and some of their properties 1511 LACHLAN, ALISTAIR H. and SoArRE, Rosert I. Models of arithmetic and sub- uniform bounds for the arithmetic sets LAFLAMME, CLAUDE and ZHU, JIAN-PING. The Rudin-Blass ordering of ultra- filters LAFortTE, GEOFFREY L. See ARSLANOV, MARAT M. LANGHOLM, Tore. A strong version of Herbrand’s theorem for introvert sentences Lewis, ANDy. Large cardinals and large dilators Li, ANGSHENG and YANG, DONGPING. Bounding minimal degrees by com- putably enumerable degrees LIFSCHES, SHMUEL and SHELAH, SAHARON. Uniformization and Skolem func- Lurie, Jacos. The effective content of surreal algebra MacCauLL, WENDY. Relational semantics and a relational proof system for full Lambek calculus MACPHERSON, DUGALD. See HASKELL, DEIRDRE. MarTIN, DONALD A. The determinacy of Blackwell games Marx, MAARTEN. Amalgamation in relation algebras MartET, P. and PAWLIKOwWSKI, J. Ideals over m and cardinal invariants of the continuum MaTsuBARA, YO and SHIOYA, MASAHIRO. Nowhere precipitousness of some MCALLISTER, ALEX M. Completions of PA: Models and enumerations of representable sets McArrtuur, Monica. See HurKENs, A. J. C. MILDENBERGER, HEIKE. Changing cardinal invariants of the reals without changing cardinals or the reals MILLER, ARNOLD W. and STEPRANS, JuRIS. Orthogonal families of real se- quences Mines, Ray. See BRIDGES, DOUGLAS. MITCHELL, WILLIAM J. The complexity of the core model MorGaN, CHARLES. Higher gap morasses, Ia: Gap-two morasses and con- densation MOSCEOVAKIS, YIANNIS N. See HURKENS, A. J. C. Moss, LAWRENCE S. See HuRKENS, A. J. C. NeémeTI, IStVAN. See ANDREKA, HAJNAL. NEsIN, ALI. See DEBONIS, MARK J. NowiIk, ANDREJ, SCHEEPERS, MARION and WEIss, TOMASZ. The algebraic sum of sets of real numbers with strong measure zero sets OUWEHAND, P. and Rose, H. Filtral powers of structures Paris, J. and VENCOvsKA, A. Proof systems for probabilistic uncertain reason- ing PAWLIKOWSKI, J. See MATET, P. PiLtay, ANAND. Definability and definable groups in simple theories PoIzAT, BRUNO. See BAISALOV, YERZHAN. POLACIK, TOMASZ. Propositional quantification in the monadic fragment of intuitionistic logic PotaGieTER, P. H. See Foucue, W. L. PresT, MIKE. The representation theories of elementarily equivalent rings .. 439 RATHJEN, MICHAEL. Explicit mathematics with the monotone fixed point principle RICHARD, Denis. See Bés, ALEXIS. Rosinson, Z. See Lipsuitz, L. RODENBURG, P. H. Termination and confluence in infinitary term rewriting . 1286 Rose, H. See OUWEHAND, P. ROSLANOWSKI, ANDRZEJ. See BALCERZAK, MAREK. SCHEEPERS, MARION. See NOWIK, ANDREI. SCHILLING, KENNETH. Vanishing Borel sets 262 SCHLATTER, MARK D. A many permutation group result for unstable theories 694 Scorr, P. J. See BLuTe, R. F. SHELAH, SAHARON. See BALCERZAK, MAREK. . See BALDWIN, JOHN T. ————.. See HAamMKins, JoeL Davin. ———.. See Jin, RENLING. ———.. See LirscHEs, SHMUEL. SHIOYA, MASAHIRO. See MATSUBARA, YO. SIMONETTA, PATRICK. Equivalence elementaire et decidabilite pour des struc- tures du type groupe agissant sur un groupe abelien . See DELON, FRANCOISE. SLAMAN, THEODORE A. See ARSLANOV, MARAT M. SOARE, Ropert I. See HARRINGTON, LEO. . See LACHLAN, ALISTAIR H. SPREEN, DieETER. On effective topological spaces STANLEY, M. C. Invisible genericity and 0* STEPRANS, JuRIS. See MILLER, ARNOLD W. TAKEUTI, Galisi. Frege proof system and TNC® TAKEUTI, GaIsi and YASUMOTO, MASAHIRO. Forcing on bounded arithmetic VAN DEN Dries, Lou. Correction to “7-convexity and tame extensions II” .. 1597 VENEMA, YDE. Rectangular games VeNcovskA, A. See Paris, J. VILLAVECES, ANDRES. Chains of end elementary extensions of models of set theory WAGNER, FRANK O. Small fields . CM -triviality and stable groups WEIERMANN, ANDREAS. How is it that infinitary methods can be applied to finitary mathematics? Gédel’s T: a case study Weiss, TOMASZ. See NowIk, ANDRE). WHuiTney, GLEN T. See HurKENsS, A. J. C. YANG, YUE. See CHONG, C. T. YANG, DONGPING. See L1, ANGSHENG. YASUMOTO, MASAHIRO. See TAKEUTI, GAISI. ZAMBELLA, DOMENICO. Foundation versus induction in Kripke-Platek set theory ZAPLETAL, JINDRICH. Preserving a-ideals ZHU, JIAN-PING. See LAFLAMME, CLAUDE. REVIEWS Reviews Reviews Reviews Reviews

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