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» Arithmetic as a Theory Modulo
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FOSSACS
2004
Springer
14 years 13 days ago
On Finite Alphabets and Infinite Bases: From Ready Pairs to Possible Worlds
We prove that if a finite alphabet of actions contains at least two elements, then the equational theory for the process algebra BCCSP modulo any semantics no coarser than readines...
Wan Fokkink, Sumit Nain
LATIN
2004
Springer
14 years 2 months ago
Approximating the Expressive Power of Logics in Finite Models
Abstract. We present a probability logic (essentially a first order language extended with quantifiers that count the fraction of elements in a model that satisfy a first order ...
Argimiro Arratia, Carlos E. Ortiz
APAL
2011
13 years 3 months ago
A sorting network in bounded arithmetic
We formalize the construction of Paterson’s variant of the Ajtai–Koml´os–Szemer´edi sorting network of logarithmic depth in the bounded arithmetical theory VNC1 ∗ (an ex...
Emil Jerábek
SIGSOFT
2005
ACM
14 years 9 months ago
Arithmetic program paths
We present Arithmetic Program Paths, a novel, efficient way to compress program control-flow traces that reduces program bit traces to less than a fifth of their original size whi...
Manos Renieris, Shashank Ramaprasad, Steven P. Rei...
APAL
2005
119views more  APAL 2005»
13 years 8 months ago
Elementary arithmetic
Abstract. There is a very simple way in which the safe/normal variable discipline of Bellantoni-Cook recursion (1992) can be imposed on arithmetical theories like PA: quantify over...
Geoffrey E. Ostrin, Stanley S. Wainer