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APAL
2002
105views more  APAL 2002»
15 years 1 months ago
Saturated models of universal theories
A notion called Herbrand saturation is shown to provide the modeltheoretic analogue of a proof-theoretic method, Herbrand analysis, yielding uniform model-theoretic proofs of a nu...
Jeremy Avigad
BSL
2007
53views more  BSL 2007»
15 years 1 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
FROCOS
2007
Springer
15 years 8 months ago
Combining Proof-Producing Decision Procedures
Constraint solvers are key modules in many systems with reasoning capabilities (e.g., automated theorem provers). To incorporate constraint solvers in such systems, the capability ...
Silvio Ranise, Christophe Ringeissen, Duc-Khanh Tr...
DAM
2007
83views more  DAM 2007»
15 years 1 months ago
The proof theoretic strength of the Steinitz exchange theorem
We show that the logical theory QLA proves the Cayley–Hamilton theorem from the Steinitz exchange theorem together with a strengthening of the linear independence principle. Sin...
Michael Soltys
ICALP
2011
Springer
14 years 5 months ago
Liveness-Preserving Atomicity Abstraction
-Preserving Atomicity Abstraction Alexey Gotsman1 and Hongseok Yang2 1 IMDEA Software Institute 2 University of Oxford Modern concurrent algorithms are usually encapsulated in libr...
Alexey Gotsman, Hongseok Yang