Counter Simulations via Higher Order Quantifier Elimination: a preliminary report [PDF]
Quite often, verification tasks for distributed systems are accomplished via counter abstractions. Such abstractions can sometimes be justified via simulations and bisimulations.
Ghilardi, Silvio, Pagani, Elena
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The computational content of Nonstandard Analysis [PDF]
Kohlenbach's proof mining program deals with the extraction of effective information from typically ineffective proofs. Proof mining has its roots in Kreisel's pioneering work on the so-called unwinding of proofs.
Sanders, Sam
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Liveness-Driven Random Program Generation [PDF]
Randomly generated programs are popular for testing compilers and program analysis tools, with hundreds of bugs in real-world C compilers found by random testing.
B Steffen +12 more
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The prospects for mathematical logic in the twenty-first century [PDF]
The four authors present their speculations about the future developments of mathematical logic in the twenty-first century. The areas of recursion theory, proof theory and logic for computer science, model theory, and set theory are discussed ...
Alexander S. Kechris +4 more
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Tertiary-Treated Municipal Wastewater is a Significant Point Source of Antibiotic Resistance Genes Into Duluth-Superior Harbor [PDF]
In this study, the impact of tertiary-treated municipal wastewater on the quantity of several antibiotic resistance determinants in Duluth-Superior Harbor was investigated by collecting surface water and sediment samples from 13 locations in Duluth ...
Allen H. K. +49 more
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The Strength of Abstraction with Predicative Comprehension
Frege's theorem says that second-order Peano arithmetic is interpretable in Hume's Principle and full impredicative comprehension. Hume's Principle is one example of an abstraction principle, while another paradigmatic example is Basic Law V from Frege's
Walsh, Sean
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Bidirectional syntactic priming across cognitive domains: from arithmetic to language and back [PDF]
Scheepers et al. (2011) showed that the structure of a correctly solved mathematical equation affects how people subsequently complete sentences containing high vs. low relative-clause attachment ambiguities.
Frazier L., Friederici A. D., Hardin J.
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Reverse Mathematics and parameter-free Transfer
Recently, conservative extensions of Peano and Heyting arithmetic in the spirit of Nelson's axiomatic approach to Nonstandard Analysis, have been proposed.
Berg, Benno van den, Sanders, Sam
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Non-principal ultrafilters, program extraction and higher order reverse mathematics
We investigate the strength of the existence of a non-principal ultrafilter over fragments of higher order arithmetic. Let U be the statement that a non-principal ultrafilter exists and let ACA_0^{\omega} be the higher order extension of ACA_0. We show
ALEXANDER P. KREUZER +2 more
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Analyzing Individual Proofs as the Basis of Interoperability between Proof Systems [PDF]
We describe the first results of a project of analyzing in which theories formal proofs can be ex- pressed. We use this analysis as the basis of interoperability between proof systems.Comment: In Proceedings PxTP 2017, arXiv:1712 ...
Dowek, Gilles
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