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» Arithmetic as a Theory Modulo
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CORR
2010
Springer
118views Education» more  CORR 2010»
13 years 8 months ago
alphaCertified: certifying solutions to polynomial systems
Smale's -theory uses estimates related to the convergence of Newton's method to give criteria implying that Newton iterations will converge quadratically to solutions to ...
Jonathan D. Hauenstein, Frank Sottile
SPIN
2012
Springer
11 years 11 months ago
SMTInterpol: An Interpolating SMT Solver
Abstract. Craig interpolation is an active research topic and has become a powerful technique in veriļ¬cation. We present SMTInterpol, an interpolating SMT solver for the quantiļ¬...
Jürgen Christ, Jochen Hoenicke, Alexander Nut...
MLQ
1998
84views more  MLQ 1998»
13 years 8 months ago
Arithmetical Measure
We develop arithmetical measure theory along the lines of Lutz [10]. This yields the same notion of ā€œmeasure 0 setā€ as considered before by Martin-LĀØof, Schnorr, and others. W...
Sebastiaan Terwijn, Leen Torenvliet
JSYML
2006
87views more  JSYML 2006»
13 years 8 months ago
Permutations and wellfoundedness: the true meaning of the bizarre arithmetic of Quine's NF
It is shown that, according to NF, many of the assertions of ordinal arithmetic involving the T-function which is peculiar to NF turn out to be equivalent to the truth-in-certain-...
Thomas Forster
CADE
2004
Springer
14 years 2 months ago
Modular Proof Systems for Partial Functions with Weak Equality
The paper presents a modular superposition calculus for the combination of ļ¬rst-order theories involving both total and partial functions. Modularity means that inferences are pu...
Harald Ganzinger, Viorica Sofronie-Stokkermans, Uw...