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Extensions of countable infinitary logic which preserve most of its nice properties

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References

  1. Barwise, J.: Infinitary logic and admissible sets. JSL34, 226–252 (1969).

    Google Scholar 

  2. Barwise, J.: Axioms for abstract model theory. Ann. Math. Logic7, 221–265 (1945).

    Article  Google Scholar 

  3. Barwise, J.: Admissible sets and structures. Berlin, Heidelberg, New York: Springer 1975.

    Google Scholar 

  4. Barwise, J., Kunen, K.: Hanf numbers for fragments of ℒ℞ω. Israel J. Math. (to appear).

  5. Friedman, H.: Why first order logic (momeographed paper).

  6. Friedman, H.: Adding propositional connectives to countable infinitary logic (to appear).

  7. Lindström, P.: On extension of elementary logic. Theoria35, 1–11 (1969).

    Google Scholar 

  8. Moschovakis, Y.: Elementary induction on abstract structures. Amsterdam: North-Holland 1974.

    Google Scholar 

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The preparation of this paper was supported by NSF Grant MCS 76-08476 and a Sloan Foundation fellowship.

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Harrington, L. Extensions of countable infinitary logic which preserve most of its nice properties. Arch math Logik 20, 95–102 (1980). https://doi.org/10.1007/BF02021129

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