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» Coinductive Formal Reasoning in Exact Real Arithmetic
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ENTCS
2008
91views more  ENTCS 2008»
13 years 5 months ago
Implementing Real Numbers With RZ
RZ is a tool which translates axiomatizations of mathematical structures to program specifications using the realizability interpretation of logic. This helps programmers correctl...
Andrej Bauer, Iztok Kavkler
TPHOL
2005
IEEE
13 years 11 months ago
Real Number Calculations and Theorem Proving
Wouldn’t it be nice to be able to conveniently use ordinary real number expressions within proof assistants? In this paper we outline how this can be done within a theorem provin...
César Muñoz, David Lester
MKM
2009
Springer
14 years 9 days ago
Combined Decision Techniques for the Existential Theory of the Reals
Methods for deciding quantifier-free non-linear arithmetical conjectures over R are crucial in the formal verification of many realworld systems and in formalised mathematics. Wh...
Grant Olney Passmore, Paul B. Jackson
CADE
2009
Springer
14 years 6 months ago
Real World Verification
Scalable handling of real arithmetic is a crucial part of the verification of hybrid systems, mathematical algorithms, and mixed analog/digital circuits. Despite substantial advanc...
André Platzer, Jan-David Quesel, Philipp R&...
CIE
2005
Springer
13 years 11 months ago
The Transfinite Action of 1 Tape Turing Machines
• We produce a classification of the pointclasses of sets of reals produced by infinite time turing machines with 1-tape. The reason for choosing this formalism is that it appa...
Philip D. Welch