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» Heterogeneous Reasoning in Real Arithmetic
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CIE
2005
Springer
14 years 3 months ago
Formalising Exact Arithmetic in Type Theory
In this work we focus on a formalisation of the algorithms of lazy exact arithmetic `a la Potts and Edalat [1]. We choose the constructive type theory as our formal verification t...
Milad Niqui
ICCBR
2005
Springer
14 years 3 months ago
Language Games: Solving the Vocabulary Problem in Multi-Case-Base Reasoning
The problem of heterogeneous case representation poses a major obstacle to realising real-life multi-case-base reasoning (MCBR) systems. The knowledge overhead in developing and ma...
Paolo Avesani, Conor Hayes, Marco Cova
TPHOL
2005
IEEE
14 years 3 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
CADE
2009
Springer
14 years 10 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&...
ECRTS
2006
IEEE
14 years 3 months ago
A Formal Approach to Multi-Dimensional Sensitivity Analysis of Embedded Real-Time Systems
System robustness is a major concern in the design of efficient and reliable state-of-the-art heterogenous embedded real-time systems. Due to complex component interactions, reso...
Razvan Racu, Arne Hamann, Rolf Ernst