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» Arithmetic as a Theory Modulo
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JSYML
2002
92views more  JSYML 2002»
13 years 8 months ago
Groundwork for Weak Analysis
Abstract. This paper develops the very basic notions of analysis in a weak secondorder theory of arithmetic BTFA whose provably total functions are the polynomial time computable f...
António M. Fernandes, Fernando Ferreira
CADE
2012
Springer
11 years 11 months ago
Rewriting Induction + Linear Arithmetic = Decision Procedure
Abstract. This paper presents new results on the decidability of inductive validity of conjectures. For these results, a class of term rewrite systems (TRSs) with built-in linear i...
Stephan Falke, Deepak Kapur
BSL
2007
53views more  BSL 2007»
13 years 8 months ago
Fragment of Nonstandard Analysis with a Finitary Consistency Proof
We introduce a nonstandard arithmetic NQA− based on the theory developed by R. Chuaqui and P. Suppes in [2] (we will denote it by NQA+ ), with a weakened external open minimizati...
Michal Rössler, Emil Jerábek
FPL
2003
Springer
164views Hardware» more  FPL 2003»
14 years 1 months ago
FPGA Implementations of the RC6 Block Cipher
RC6 is a symmetric-key algorithm which encrypts 128-bit plaintext blocks to 128-bit ciphertext blocks. The encryption process involves four operations: integer addition modulo 2w ,...
Jean-Luc Beuchat
LICS
2002
IEEE
14 years 1 months ago
Remarks on Isomorphisms in Typed Lambda Calculi with Empty and Sum Types
Tarski asked whether the arithmetic identities taught in high school are complete for showing all arithmetic equations valid for the natural numbers. The answer to this question f...
Marcelo P. Fiore, Roberto Di Cosmo, Vincent Balat