By J. Lambek (auth.), Alain Lecomte, François Lamarche, Guy Perrier (eds.)

This publication constitutes the completely refereed post-proceedings of the second one overseas convention on Logical elements of Computational Linguistics, LACL '97, held in Nancy, France in September 1997.

The 10 revised complete papers awarded have been rigorously chosen in the course of rounds of reviewing. additionally incorporated are entire invited papers. one of the subject matters coated are kind thought, numerous different types of grammars, linear common sense, parsing, type-directed typical language processing, proof-theoretic elements, concatenation logics, and mathematical languages.

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**Extra info for Logical Aspects of Computational Linguistics: Second International Conference, LACL'97 Nancy, France, September 22-24, 1997 Selected Papers**

**Sample text**

Eliminating redundancy is secondary in the sense that it does not really constrain rule formulation: it just removes one formulation of equal power with another that is maintained. Less redundancy may help state some generalizations in a simpler way or make them more transparent because their effects are not spread over two components, but it does not have the impact of constraining rule formulation by considerations of necessity. For instance, Chomsky (1995) argues that the level of D-Structure should be eliminated because the information it provides for interpretation is recoverable from LF.

To see that this is not cyclic, take f (n) = 2n and calculate f r (n) = [n/2], f (n) = [(n + 1)/2]. where [x] denotes the greatest integer ≤ x. The free pregroup F (A) generated by a poset A is deﬁned like the free protogroup of Section 1, only now there is an additional case in the deﬁnition of α ≤ β, to be called an expansion: Case 3. αi = γδ, αi+1 = γa(n) a(n−1) δ. It is easily veriﬁed that F (A) is a pregroup with the expected universal property. A generalized expansion has the form γδ ≤ γa(n) b(n−1) δ, where n is odd and a ≤ b in A or n is even and b ≤ a in A.

Symposia Applied Mathematics 12 (1961), 56–67. 26 J. Lambek C. Dexter, The second Inspector Morse omnibus, Pan Books, London 1994. K. Doˇsen and P. Schroeder-Heister (eds), Substructural logics, Oxford University Press, Oxford 1993. G. Gazdar, E. Klein, G. Pullum and I. Sag, Generalized phrase structure grammar, Harvard University Press, Cambridge Mass. 1985. -Y. Girard, Linear Logic, J. Theoretical Computer Science 50 (1987), 1–102. N. Grishin, On a generalization of the Ajdukiewicz-Lambek system, in: Studies in nonclassical logics and formal systems, Nauka, Moscow 1983, 315-343.