It has been analyzed that the word order of English comparative inversion is analogous to that of other subject-auxiliary inversions in that only a finite auxiliary verb can be followed by the subject. However, English comparative inversion should be distinguished from other inversions because the subject can be located between a cluster of auxiliary verbs and the non-auxiliary verb phrase in E...

The security of pairing-based cryptosystems is closely related to the difficulty of the pairing inversion problem. Building on previous works, we provide further contributions on the difficulty of pairing inversion. In particular, we revisit the approach of Kanayama-Okamoto who modified exponentiation inversion and Miller inversion by considering an “auxiliary” pairing. First, by generalizing a...

The present paper reports an analysis of correct wh-question production and subject-auxiliary inversion errors in one child's early wh-question data (age 2;3.4 to 4;10.23). It is argued that two current movement rule accounts (DeVilliers, 1991; Valian, Lasser & Mandelbaum, 1992) cannot explain the patterning of early wh-questions. However, the data can be explained in terms of the child's knowl...

The security of pairing-based cryptosystems is closely related to the difficulty of the pairing inversion problem(PI). In this paper, we discuss the difficulty of pairing inversion on the generalized ate pairings of Vercauteren. First, we provide a simpler approach for PI by generalizing and simplifying Kanayama-Okamotos approach; our approach involves modifications of exponentiation inversion(...

This paper sketches an HPSG analysis of the English auxiliary system, including nite negation, inversion, ellipsis, contraction, and the restricted distribution of unfocussed do. Negative and other adverbials are selected by the nite auxiliary , enabling a treatment of lexical variation in scope assignment. Auxiliary constructions are featurally distinguished from others, allowing a succinct ac...

English main-clause wh-questions form complementiser phrases with wh-words preposed to spec-C position. This is because English wh-words, as verb-complements originally, are strong enough to trigger wh-movement and auxiliary inversion. Persian EFL learners encounter an over-differentiation problem regarding the acquisition of auxiliary inversion rule in English standard questions. Once they hav...

In this keynote talk, we discuss an effective inversion algorithm, which is both subjected to intense research and development as well as production. This is the well know Laterally Constrained Inversion (LCI) and Spatial Constrained Inversion algorithm. The same algorithm is also used in a voxel setup (3D model) and for sheet inversions. An integral part of these different model discretization...

a systematic way is presented for the construction of multi-step iterative method with frozen jacobian. the inclusion of an auxiliary function is discussed. the presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of newton multi-step method. the auxiliary function provides us the way to overcome the singul...

This paper discusses an item-based and a rule-based model of language acquisition in relation to children's acquisition of word order in wh-questions in English and Norwegian. Constructivist work argues that English-speaking children are sensitive to wh-word + auxiliary combinations in the input, while generative work asserts that children acquire a rule of subject-auxiliary inversion or genera...