Persistent and invariant formulas for outer extensions

Solomon Feferman

Compositio Mathematica (1968)

  • Volume: 20, page 29-52
  • ISSN: 0010-437X

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Feferman, Solomon. "Persistent and invariant formulas for outer extensions." Compositio Mathematica 20 (1968): 29-52. <http://eudml.org/doc/88983>.

@article{Feferman1968,
author = {Feferman, Solomon},
journal = {Compositio Mathematica},
keywords = {algebraic logic, model theory},
language = {eng},
pages = {29-52},
publisher = {Wolters-Noordhoff Publishing},
title = {Persistent and invariant formulas for outer extensions},
url = {http://eudml.org/doc/88983},
volume = {20},
year = {1968},
}

TY - JOUR
AU - Feferman, Solomon
TI - Persistent and invariant formulas for outer extensions
JO - Compositio Mathematica
PY - 1968
PB - Wolters-Noordhoff Publishing
VL - 20
SP - 29
EP - 52
LA - eng
KW - algebraic logic, model theory
UR - http://eudml.org/doc/88983
ER -

References

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  3. W. Craig [3] Three uses of the Herbrand-Gentzen theorem in relating model theory and proof theory, Journ. Symbolic Logic, v. 22 (1957), pp. 269 — 285. Zbl0079.24502
  4. S. Feferman [4] Systems of predicative analysis, Journ. Symbolic Logic, v. 29 (1964), pp.1-30. Zbl0134.01101MR193006
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  6. S. Feferman [6] Autonomous transfinite progressions and the extent of predicative mathematics, Proc. 3d Intl. Cong. for Logic, Methodology and Philosophy of Science Amsterdam, 1967 (to appear). Zbl0198.32302MR252196
  7. S. Feferman [7] Lectures on proof theory, Proc. Leeds Institute in Logic, Summer 1967 (to appear). Zbl0248.02033MR235996
  8. S. Feferman and G. Kreisel [8] Persistent and invariant formulas relative to theories of higher order, (Research Announcement)Bull. Amer. Math. Soc., v. 72 (1966) pp. 480-485. Zbl0234.02038MR193007
  9. H.J. Keisler [9] End extensions of models of set theory, Proc. A. M. S. Institute on Set Theory, U.C.L.A., 1967 (to appear). 
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  11. G. Kreisel [11] Relative recursiveness in metarecursion theory (abstract)Journ. Symbolic Logic, v. 33 (1967) p. 442. 
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  13. E.G.K. Lopez-Escobar [13] An interpolation theorem for denumerably long formulas, Fund. Math. v. 57 (1965) pp. 253-272. Zbl0137.00701MR188059
  14. R. Lyndon [14] Properties preserved under homomorphism, Pacif. Journ. Math. v. 9 (1959), pp. 143-154. Zbl0093.01101MR108441
  15. J.I. Malitz [15] Problems in the model theory of infinite languages, Dissertation, Berkeley, 1966. 
  16. A. Mostowski [16] On invariant, dual invariant and absolute formulas, Rozprawy Math. v. 29 (1962), pp. 1-38. Zbl0106.00502MR168458
  17. S. Orey [17] Model theory for higher order predicate calculus, Trans. Amer. Math. Soc. v. 92 (1959), pp. 72-84. Zbl0088.01004MR107600
  18. A. Robinson [18] Introduction to model theory and to the metamathematics of algebra, North-Holland Publ. Co., Amsterdam, 1963. Zbl0118.25302MR153570
  19. D. Scott [19] Logic with denumerably long formulas and finite strings of quantifiers, in The theory of models (Proc.1963 Symposium at Berkeley) North-Holland Publ. Co., Amsterdam (1965), pp. 329-341. Zbl0166.26003MR200133
  20. A. Tarski [20] Contributions to the theory of models, Indag. Math. v.16 (1954), Part I pp. 572-581, Part II pp. 582-588. Zbl0058.24702
  21. G. Krfisfl and J.L. Krivine [21] Elements of mathematical logic (model theory), North-Holland Publ. Co., Amsterdam (1967). Zbl0155.33801MR219380

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