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CORR
2008
Springer
93views Education» more  CORR 2008»
14 years 10 months ago
A computer verified, monadic, functional implementation of the integral
We provide a computer verified exact monadic functional implementation of the Riemann integral in type theory. Together with previous work by O'Connor, this may be seen as the...
Russell O'Connor, Bas Spitters
IMPERIAL
1993
15 years 2 months ago
Deriving Category Theory from Type Theory
This work expounds the notion that (structured) categories are syntax free presentations of type theories, and shows some of the ideas involved in deriving categorical semantics f...
Roy L. Crole
ACS
2010
14 years 10 months ago
Lawvere Completion and Separation Via Closure
For a quantale V, first a closure-theoretic approach to completeness and separation in V-categories is presented. This approach is then generalized to T-categories, where T is a to...
Dirk Hofmann, Walter Tholen
ECCC
2007
109views more  ECCC 2007»
14 years 10 months ago
Logic, Graphs, and Algorithms
Algorithmic meta theorems are algorithmic results that apply to whole families of combinatorial problems, instead of just specific problems. These families are usually defined i...
Martin Grohe
TPHOL
2007
IEEE
15 years 5 months ago
Formalising Generalised Substitutions
Abstract. We use the theorem prover Isabelle to formalise and machinecheck results of the theory of generalised substitutions given by Dunne and used in the B method. We describe t...
Jeremy E. Dawson