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» On the Proof Theory of the Existence Predicate
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CACM
2002
69views more  CACM 2002»
13 years 7 months ago
Software engineering considered harmful
ion, reviews, rigorous procedures, regression testing, metrics, and so forth) have been helpful, but we are still dealing with an intrinsically unsatisfactory situation. Especially...
Dennis de Champeaux
AISC
2004
Springer
14 years 28 days ago
Algorithm-Supported Mathematical Theory Exploration: A Personal View and Strategy
Abstract. We present a personal view and strategy for algorithm-supported mathematical theory exploration and draw some conclusions for the desirable functionality of future mathem...
Bruno Buchberger
MSCS
2006
89views more  MSCS 2006»
13 years 7 months ago
Quantum weakest preconditions
We develop a notion of predicate transformer and, in particular, the weakest precondition, appropriate for quantum computation. We show that there is a Stone-type duality between ...
Ellie D'Hondt, Prakash Panangaden
LATA
2009
Springer
14 years 2 months ago
Nondeterministic Instance Complexity and Proof Systems with Advice
Abstract. Motivated by strong Karp-Lipton collapse results in bounded arithmetic, Cook and Kraj´ıˇcek [7] have recently introduced the notion of propositional proof systems with...
Olaf Beyersdorff, Johannes Köbler, Sebastian ...
BIRTHDAY
2010
Springer
13 years 8 months ago
Halting and Equivalence of Program Schemes in Models of Arbitrary Theories
In this note we consider the following decision problems. Let be a fixed first-order signature. (i) Given a first-order theory or ground theory T over of Turing degree , a program...
Dexter Kozen