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» Type Classes for Mathematics in Type Theory
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POPL
2012
ACM
12 years 3 months ago
A type theory for probability density functions
There has been great interest in creating probabilistic programming languages to simplify the coding of statistical tasks; however, there still does not exist a formal language th...
Sooraj Bhat, Ashish Agarwal, Richard W. Vuduc, Ale...
ISIPTA
2005
IEEE
123views Mathematics» more  ISIPTA 2005»
14 years 1 months ago
On Coherent Variability Measures and Conditioning
Coherent upper and lower previsions are becoming more and more popular as a mathematical model for robust valuations under uncertainty. Likewise, the mathematically equivalent cla...
Sebastian Maaß
TOCL
2012
235views Formal Methods» more  TOCL 2012»
11 years 9 months ago
Topological and Simplicial Models of Identity Types
racting these leads us to introduce the notion of a path object category. This is a relatively simple axiomatic framework, which is nonetheless sufficiently strong to allow the con...
Benno van den Berg, Richard Garner
ASIAN
2006
Springer
91views Algorithms» more  ASIAN 2006»
13 years 11 months ago
A Type-Theoretic Framework for Formal Reasoning with Different Logical Foundations
Abstract. A type-theoretic framework for formal reasoning with different logical foundations is introduced and studied. With logic-enriched type theories formulated in a logical fr...
Zhaohui Luo
MPC
2004
Springer
155views Mathematics» more  MPC 2004»
14 years 23 days ago
Inferring Type Isomorphisms Generically
Abstract. Datatypes which differ inessentially in their names and structure are said to be isomorphic; for example, a ternary product is isomorphic to a nested pair of binary prod...
Frank Atanassow, Johan Jeuring