We show how to extract classical programs expressed in Krivine λc-calculus from proof-terms built in a proof-irrelevant and classical version of the calculus of constructions with universes. For that, we extend Krivine’s realisability model of classical second-order arithmetic to the calculus of constructions with universes using a structure of Πset which is reminiscent of ω-sets, and show that...

This chapter begins my three chapter discussion of the behavior of non-verbal predication in Irish. In this chapter, I discuss the distribution and syntactic behavior of two different copular constructions in Irish: theTá (Bí) and Is1 constructions. In chapter 5, I look in detail at a word order alternation within the Is class of constructions. The final section on Irish copular constructions w...

3 Semantics 10 3.1 Contexts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 3.2 Kinds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.3 Type Constructors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 3.4 Other Judgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....

We construct a class of geometric twists for Calabi-Yau manifolds of Voisin-Borcea type (K3 × T )/Z2 and study the superpotential in a type IIA orientifold based on this geometry. The twists modify the direct product by fibering the K3 over T 2 while preserving the Z2 involution. As an important application, the Voisin-Borcea class contains T /(Z2 × Z2), the usual setting for intersecting D6 br...

The construction [NR+V/ADJR+SUF] in Tibetan may be analyzed as nominal phrase or as adjectives of exocentric construction with different meanings. How to segment, tag and auto-translate the two constructions will be a problem in Tibetan natural processing. This paper describes the constructions, types, variants in given situations and the ways of production of the exocentric constructions, whic...

It has been generally assumed that a violation of island constraints indicates that the relevant syntactic phenomena involves movement. That is, if what look like displacements violate island constraints but remain acceptable, this means that they should not be derived by movement. A careful examination of postverbal constructions in Japanese reveals that no movement is involved in the derivati...

This paper studies a distinction that was proposed in previous works between total and partial adjectives. In pairs of adjectives such as safe-dangerous, clean-dirty and healthy-sick, the first (“total”) adjective describes lack of danger, dirt, malady etc., while the second (“partial”) adjective describes the existence of such properties. It is shown that the semantics of adjective phrases wit...

About twelve years ago, I learned that paper folding or elementary origami could be used to demonstrate all the Euclidean constructions; the booklet, [9], gives postulates and detailed the methods for high school teachers. Since then, I have noticed a number of papers on origami and variations, [3], [2] and even websites [7]. What are a good set of axioms and what should be constructible all ca...