Sciweavers

4 search results - page 1 / 1
» Formalising Exact Arithmetic in Type Theory
Sort
View
CIE
2005
Springer
13 years 10 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
MST
2007
168views more  MST 2007»
13 years 4 months ago
Productivity of Edalat-Potts Exact Arithmetic in Constructive Type Theory
In this work we focus on a formalisation of the algorithms of lazy exact arithmetic `a la Edalat–Potts in type theory. We choose the constructive type theory extended with coind...
Milad Niqui
APAL
2010
114views more  APAL 2010»
13 years 4 months ago
Classical predicative logic-enriched type theories
A logic-enriched type theory (LTT) is a type theory extended with a primitive mechanism for forming and proving propositions. We construct two LTTs, named LTT0 and LTT 0, which we...
Robin Adams, Zhaohui Luo
MKM
2009
Springer
13 years 11 months 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