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» Algebraic Methods for Interactive Proof Systems
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JAR
1998
134views more  JAR 1998»
13 years 5 months ago
Integrating Computer Algebra into Proof Planning
Mechanized reasoning systems and computer algebra systems have different objectives. Their integration is highly desirable, since formal proofs often involve both of the two differ...
Manfred Kerber, Michael Kohlhase, Volker Sorge
JANCL
2006
112views more  JANCL 2006»
13 years 5 months ago
KAT-ML: an interactive theorem prover for Kleene algebra with tests
We describe KAT-ML, an implementation of an interactive theorem prover for Kleene algebra with tests (KAT). The system is designed to reflect the natural style of reasoning with K...
Kamal Aboul-Hosn, Dexter Kozen
SIAMSC
2008
118views more  SIAMSC 2008»
13 years 5 months ago
Splitting Methods Based on Algebraic Factorization for Fluid-Structure Interaction
We discuss in this paper the numerical approximation of fluid-structure interaction (FSI) problems dealing with strong added-mass effect. We propose new semi-implicit algorithms ba...
Santiago Badia, Annalisa Quaini, Alfio Quarteroni
TYPES
2000
Springer
13 years 9 months ago
A Constructive Proof of the Fundamental Theorem of Algebra without Using the Rationals
Abstract. In the FTA project in Nijmegen we have formalized a constructive proof of the Fundamental Theorem of Algebra. In the formalization, we have first defined the (constructiv...
Herman Geuvers, Freek Wiedijk, Jan Zwanenburg
AICOM
2010
127views more  AICOM 2010»
13 years 5 months ago
Interactive verification of concurrent systems using symbolic execution
This paper presents an interactive proof method for the verification of temporal properties of concurrent systems based on symbolic execution. Symbolic execution is a well known a...
Simon Bäumler, Michael Balser, Florian Nafz, ...