… Epstein’s starting point was a semantical analysis of the … axiom system S devised by Epstein
with a constructive completeness … For this purpose, however, we shall make use of Epstein’s …

… constructive definition of order completeness for arbitrary partially ordered sets. Our setting
is Bishop’s constructive … a Cartesian product of n order complete sets is order complete. As a …

… We will use lower case Latin letters t, s, t ,s and upper case Latin letters A, B, C, . . ., possibly
… in the calculus all the information needed to constructively “complete” the set Theo([Π]), but …

… Suppose that each CI is finitely complete, has a proper factorization system (g,.h/l) and has
intersections of .M-subobjects. Suppose in addition that the left and right adjoints to ~* : Cj ---* …

… we will identify uco(C) with the lattice s of abstract interpretations of C, ie the complete lattice
of all possible abstract domains of C. Often, we will find convenient to identify closures with …

… ’s constructive mathematics that the sequential completion D(R) of the space D(R) is filter-complete.
Then … ’s intuitionistic mathematics and constructive recursive mathematics of Markov’…

… of prime and universal models of complete solvable theories, we obtain a criterion of
existence of a strongly constructive prime model of a complete solvable theory, and we present …

… -free results about constructive complete distributivity. For these … that constructive complete
distributivity is constructively self-… From T(=UX)*(S) if and only if T^S, we are able to conclude …

… A constructively complete lattice is a complete lattice in … cofinal with X, then s is also
the constructive supremum of Y . … Y has a constructive supremum s if and only if s is the (constructive) …

… -Valentini, that classical logic is constructively complete with respect to (relaxed) Boolean …
of Glivenko’s theorem for our system. All proofs in this thesis are constructive, except for the …