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» Domain Theory in Logical Form
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MLQ
2008
54views more  MLQ 2008»
14 years 9 months ago
A localic theory of lower and upper integrals
An account of lower and upper integration is given. It is constructive in the sense of geometric logic. If the integrand takes its values in the nonnegative lower reals, then its ...
Steven Vickers
JAIR
2010
145views more  JAIR 2010»
14 years 8 months ago
On Action Theory Change
As historically acknowledged in the Reasoning about Actions and Change community, intuitiveness of a logical domain description cannot be fully automated. Moreover, like any other...
Ivan José Varzinczak
CORR
2011
Springer
170views Education» more  CORR 2011»
14 years 1 months ago
A Modular Type-checking algorithm for Type Theory with Singleton Types and Proof Irrelevance
We define a logical framework with singleton types and one universe of small types. We give the semantics using a PER model; it is used for constructing a normalisation-by-evaluat...
Andreas Abel, Thierry Coquand, Miguel Pagano
AISC
1998
Springer
15 years 1 months ago
Reasoning About Coding Theory: The Benefits We Get from Computer Algebra
The use of computer algebra is usually considered beneficial for mechanised reasoning in mathematical domains. We present a case study, in the application domain of coding theory, ...
Clemens Ballarin, Lawrence C. Paulson
KI
1990
Springer
15 years 1 months ago
The Representation of Program Synthesis in Higher Order Logic
ue to a lack of abstraction in the formalization of deductive mechanisms involved in programming reasoning tools for the development of program synthesizers are not yet available. ...
Christoph Kreitz