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A non-uniform finitary relational semantics of system T

Lionel Vaux (2013)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

We study iteration and recursion operators in the denotational semantics of typed λ-calculi derived from the multiset relational model of linear logic. Although these operators are defined as fixpoints of typed functionals, we prove them finitary in the sense of Ehrhard’s finiteness spaces.

A note on a question of Abe

Douglas Burke (2000)

Fundamenta Mathematicae

Assuming large cardinals, we show that every κ-complete filter can be generically extended to a V-ultrafilter with well-founded ultrapower. We then apply this to answer a question of Abe.

A Note on a Theorem of Lion

Zofia Ambroży (2013)

Bulletin of the Polish Academy of Sciences. Mathematics

In this note we bind together Wilkie's complement theorem with Lion's theorem on geometric, regular and 0-regular families of functions.

A note on Boolean algebras

Isaac Gorelic (1994)

Commentationes Mathematicae Universitatis Carolinae

We show that splitting of elements of an independent family of infinite regular size will produce a full size independent set.

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