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DIAGRAMS
2010
Springer
13 years 5 months ago
Heterogeneous Reasoning in Real Arithmetic
Abstract. Diagrams often complement sentential proofs in mathematics. However, diagrams are rarely used as standalone reasoning tools. Thus we propose to integrate diagrammatic rea...
Matej Urbas, Mateja Jamnik
CORR
2008
Springer
154views Education» more  CORR 2008»
13 years 4 months ago
Coinductive Formal Reasoning in Exact Real Arithmetic
In this article we present a method for formally proving the correctness of the lazy algorithms for computing homographic and quadratic transformations -- of which field operations...
Milad Niqui
CADE
2006
Springer
14 years 5 months ago
Verifying Mixed Real-Integer Quantifier Elimination
Abstract. We present a formally verified quantifier elimination procedure for the first order theory over linear mixed real-integer arithmetics in higher-order logic based on a wor...
Amine Chaieb
LICS
1997
IEEE
13 years 9 months ago
Semantics of Exact Real Arithmetic
In this paper, we incorporate a representation of the non-negative extended real numbers based on the composition of linear fractional transformations with nonnegative integer coe...
Peter John Potts, Abbas Edalat, Martín H&ou...