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» Arithmetic as a Theory Modulo
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ARITH
2009
IEEE
14 years 3 months ago
Unified Approach to the Design of Modulo-(2n +/- 1) Adders Based on Signed-LSB Representation of Residues
Moduli of the form 2n ± 1, which greatly simplify certain arithmetic operations in residue number systems (RNS), have been of longstanding interest. A steady stream of designs fo...
Ghassem Jaberipur, Behrooz Parhami
LICS
2007
IEEE
14 years 3 months ago
Principles of Superdeduction
In predicate logic, the proof that a theorem P holds in a theory Th is typically conducted in natural deduction or in the sequent calculus using all the information contained in t...
Paul Brauner, Clément Houtmann, Claude Kirc...
MLQ
2002
67views more  MLQ 2002»
13 years 8 months ago
Intuitionistic Fixed Point Theories for Strictly Positive Operators
In this paper it is shown that the intuitionistic fixed point theory ID i (strict) for times iterated fixed points of strictly positive operator forms is conservative for negativ...
Christian Rüede, Thomas Strahm
TC
1998
13 years 8 months ago
A New Representation of Elements of Finite Fields GF(2m) Yielding Small Complexity Arithmetic Circuits
—Let F2 denote the binary field and F 2 m an algebraic extension of degree m > 1 over F2 . Traditionally, elements of F 2 m are either represented as powers of a primitive ele...
Germain Drolet
FSEN
2009
Springer
14 years 3 months ago
A Process-Theoretic Look at Automata
Automata theory presents roughly three types of automata: finite automata, pushdown automata and Turing machines. The automata are treated as language acceptors, and the expressiv...
Jos C. M. Baeten, Pieter J. L. Cuijpers, Bas Lutti...