J. B. Paris. A hierarchy of cuts in models of arithmetic. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 312–337. - George Mills. A tree analysis of unprovable combinatorial statements. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, pp. 248–311. - Jussi Ketonen and Robert Solovay. Rapidly growing Ramsey functions. Annals of mathematics, ser. 2 vol. 113 (1981), pp. 267–314.

1986 ◽  
Vol 51 (4) ◽  
pp. 1062-1066
Author(s):  
A. J. Wilkie
Keyword(s):  
New York ◽  
Model Theory ◽  
Tree Analysis ◽  
Lecture Notes ◽  
Models Of Arithmetic

Jon Barwise and John Schlipf. On recursively saturated models of arithmetic. Model theory and algebra, A memorial tribute to Abraham Robinson, edited by D. H. Saracino and V. B. Weispfenning, Lecture notes in mathematics, vol. 498, Springer-Verlag, Berlin, Heidelberg, and New York, 1975, pp. 42–55. - Patrick Cegielski, Kenneth McAloon, and George Wilmers. Modèles récursivement saturés de l'addition et de la multiplication des entiers naturels. Logic Colloquium '80, Papers intended for the European summer meeting of the Association for Symbolic Logic, edited by D. van Dalen, D. Lascar, and T. J. Smiley, Studies in logic and the foundations of mathematics, vol. 108, North-Holland Publishing Company, Amsterdam, New York, and London, 1982, pp. 57–68. - Julia F. Knight. Theories whose resplendent models are homogeneous. Israel journal of mathematics, vol. 42 (1982), pp. 151–161. - Julia Knight and Mark Nadel. Expansions of models and Turing degrees. The journal of symbolic logic, vol. 47 (1982), pp. 587–604. - Julia Knight and Mark Nadel. Models of arithmetic and closed ideals. The journal of symbolic logic, vol. 47 no. 4 (for 1982, pub. 1983), pp. 833–840. - Henryk Kotlarski. On elementary cuts in models of arithmetic. Fundamenta mathematicae, vol. 115 (1983), pp. 27–31. - H. Kotlarski, S. Krajewski, and A. H. Lachlan. Construction of satisfaction classes for nonstandard models. Canadian mathematical bulletin—Bulletin canadien de mathématiques, vol. 24 (1981), pp. 283–293. - A. H. Lachlan. Full satisfaction classes and recursive saturation. Canadian mathematical bulletin—Bulletin canadien de mathématiques, pp. 295–297. - Leonard Lipshitz and Mark Nadel. The additive structure of models of arithmetic. Proceedings of the American Mathematical Society, vol. 68 (1978), pp. 331–336. - Mark Nadel. On a problem of MacDowell and Specker. The journal of symbolic logic, vol. 45 (1980), pp. 612–622. - C. Smoryński. Back-and-forth inside a recursively saturated model of arithmetic. Logic Colloquium '80, Papers intended for the European summer meeting of the Association for Symbolic Logic, edited by D. van Dalen, D. Lascar, and T. J. Smiley, Studies in logic and the foundations of mathematics, vol. 108, North-Holland Publishing Company, Amsterdam, New York, and London, 1982, pp. 273–278. - C. Smoryński and J. Stavi. Cofinal extension preserves recursive saturation. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7,1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 338–345. - George Wilmers. Minimally saturated models. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 370–380.

1987 ◽  
Vol 52 (1) ◽  
pp. 279-284
Author(s):  
J.-P. Ressayre
Keyword(s):  
New York ◽  
Model Theory ◽  
Foundations Of Mathematics ◽  
Symbolic Logic ◽  
Recursive Saturation ◽  
North Holland Publishing ◽  
Lecture Notes ◽  
Recursively Saturated ◽  
Satisfaction Classes ◽  
Models Of Arithmetic

F. William Lawvere. Introduction to part I. Model theory and topoi, A collection of lectures by various authors, edited by F. W. Lawvere, C. Maurer, and G. C. Wraith, Lecture notes in mathematics, vol. 445, Springer-Verlag, Berlin, Heidelberg, and New York, 1975, pp. 3–14. - Orville Keane. Abstract Horn theories. Model theory and topoi, A collection of lectures by various authors, edited by F. W. Lawvere, C. Maurer, and G. C. Wraith, Lecture notes in mathematics, vol. 445, Springer-Verlag, Berlin, Heidelberg, and New York, 1975, pp. 15–50. - Hugo Volger. Completeness theorem for logical categories. Model theory and topoi, A collection of lectures by various authors, edited by F. W. Lawvere, C. Maurer, and G. C. Wraith, Lecture notes in mathematics, vol. 445, Springer-Verlag, Berlin, Heidelberg, and New York, 1975, pp. 51–86. - Hugo Volger. Logical categories, semantical categories and topoi. Model theory and topoi, A collection of lectures by various authors, edited by F. W. Lawvere, C. Maurer, and G. C. Wraith, Lecture notes in mathematics, vol. 445, Springer-Verlag, Berlin, Heidelberg, and New York, 1975, pp. 87–100. - G. C. Wraith. Lectures on elementary topoi. Model theory and topoi, A collection of lectures by various authors, edited by F. W. Lawvere, C. Maurer, and G. C. Wraith, Lecture notes in mathematics, vol. 445, Springer-Verlag, Berlin, Heidelberg, and New York, 1975, pp. 114–206. - Gerhard Osius. Logical and set theoretical tools in elementary topoi. Model theory and topoi, A collection of lectures by various authors, edited by F. W. Lawvere, C. Maurer, and G. C. Wraith, Lecture notes in mathematics, vol. 445, Springer-Verlag, Berlin, Heidelberg, and New York, 1975, pp. 297–346. - Gerhard Osius. A note on Kripke–Joyal semantics for the internal language of topoi. Model theory and topoi, A collection of lectures by various authors, edited by F. W. Lawvere, C. Maurer, and G. C. Wraith, Lecture notes in mathematics, vol. 445, Springer-Verlag, Berlin, Heidelberg, and New York, 1975, pp. 349–354.

1981 ◽  
Vol 46 (1) ◽  
pp. 158-161
Author(s):  
M. E. Szabo
Keyword(s):  
New York ◽  
Model Theory ◽  
Completeness Theorem ◽  
Lecture Notes ◽  
Horn Theories

Joseph Becker and Leonard Lipshitz. Remarks on the elementary theories of formal and convergent power series. Fundament a mathematicae, vol. 105 (1980), pp. 229–239. - Françoise Delon. Indécidabilité de la théorie des anneaux de séries formelles à plusiers indéterminées. Fundament a mathematicae, vol. 112 (1981), pp. 215–229. - J. Becker, J. Denef, and L. Lipshitz. Further remarks on the elementary theory of formal power series rings. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 1–9. - Françoise Delon. Hensel fields in equal characteristic p > 0. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 108–116.

1985 ◽  
Vol 50 (3) ◽  
pp. 853-854
Author(s):  
S. Basarab
Keyword(s):  
New York ◽  
Power Series ◽  
Model Theory ◽  
Elementary Theory ◽  
Convergent Power Series ◽  
Characteristic P ◽  
Lecture Notes ◽  
Power Series Rings ◽  
Formal Power ◽  
Elementary Theories

Angus Macintyre, Kenneth McKenna, and Lou van den Dries. Elimination of quantifiers in algebraic structures. Advances in mathematics, vol. 47 (1983), pp. 74–87. - L. P. D. van den Dries. A linearly ordered ring whose theory admits elimination of quantifiers is a real closed field. Proceedings of the American Mathematical Society, vol. 79 (1980), pp. 97–100. - Bruce I. Rose. Rings which admit elimination of quantifiers. The journal of symbolic logic, vol. 43 (1978), pp. 92–112; Corrigendum, vol. 44 (1979), pp. 109–110. - Chantal Berline. Rings which admit elimination of quantifiers. The journal of symbolic logic, vol. 43 (1978), vol. 46 (1981), pp. 56–58. - M. Boffa, A. Macintyre, and F. Point. The quantifier elimination problem for rings without nilpotent elements and for semi-simple rings. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 20–30. - Chantal Berline. Elimination of quantifiers for non semi-simple rings of characteristic p. Model theory of algebra and arithmetic, Proceedings of the Conference on Applications of Logic to Algebra and Arithmetic held at Karpacz, Poland, September 1–7, 1979, edited by L. Pacholski, J. Wierzejewski, and A. J. Wilkie, Lecture notes in mathematics, vol. 834, Springer-Verlag, Berlin, Heidelberg, and New York, 1980, pp. 10–19.

1985 ◽  
Vol 50 (4) ◽  
pp. 1079-1080
Author(s):  
Gregory L. Cherlin
Keyword(s):  
New York ◽  
Model Theory ◽  
American Mathematical Society ◽  
Quantifier Elimination ◽  
Symbolic Logic ◽  
Closed Field ◽  
Characteristic P ◽  
Lecture Notes ◽  
Ordered Ring ◽  
Elimination Problem
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