on literal equivalence. This dissertation presents a framework for generalization through the incorporation of semantic knowledge into information retrieval systems. The semantic knowledge is extracted from an online Webster's dictionary and a thesaurus named WordNet. The use of semantic knowledge

—O(k log n)— linear measurements over a modified dictionary if the signal is compressible, that is, its information is concentrated in k coefficients with the original dictionary. In particular, these results [1], [2], [3] prove that there exists a single O(k log n) × n measurement matrix such that any

+ in Isabelle/Pure. The proof obligations for a complete TLA +2 proof can also be used to certify the theorem in Isabelle/TLA+.

multitude of witnesses that may attest to its validity. A number of interesting issues arise in the design of such protocols that include whether a protocol transcript enables the verifier to test for wit-ness after termination (something akin to an “offline dictionary attack”) and whether the prover should

Effective support for custom proof automation is essential for large-scale interactive proof develop-ment. However, existing languages for automation via tactics either (a) provide no way to specify the behavior of tactics within the base logic of the accompanying theorem prover, or (b) rely on advanced type-theoretic machinery that is not easily integrated into established theorem provers. We present Mtac, a lightweight but powerful extension to Coq that supports dependently typed tactic programming. Mtac tactics have access to all the features of ordinary Coq programming, as well as a new set of typed tactical primitives. We avoid the need to touch the trusted kernel type-checker of Coq by encapsulating uses of these new tactical primitives in a monad, and instrumenting Coq so that it executes monadic tactics during type inference. 1

Abstract not found

Algebraic algorithms deal with numbers, vectors, matrices, polynomials, for-mal power series, exponential and differential polynomials, rational functions, algebraic sets, curves and surfaces. In this vast area, manipulation with matri-ces and polynomials is fundamental for modern computations in Sciences and

This is a preliminary version of a Chapter on Algebraic Algorithms in the up-

Abstract not found

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