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» Theory Extension in ACL2(r)
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DLT
2009
14 years 10 months ago
Weighted versus Probabilistic Logics
While a mature theory around logics such as MSO, LTL, and CTL has been developed in the pure boolean setting of finite automata, weighted automata lack such a natural connection wi...
Benedikt Bollig, Paul Gastin
97
Voted
JUCS
2010
95views more  JUCS 2010»
14 years 7 months ago
Realisability for Induction and Coinduction with Applications to Constructive Analysis
Abstract: We prove the correctness of a formalised realisability interpretation of extensions of first-order theories by inductive and coinductive definitions in an untyped -calcul...
Ulrich Berger
117
Voted
DLOG
2011
14 years 4 months ago
Two-Dimensional Description Logics of Context
We introduce an extension of Description Logics (DLs) for representing and reasoning about contextualized knowledge. Our formalism is inspired by McCarthy’s theory of formalizing...
Szymon Klarman, Víctor Gutiérrez-Bas...
KR
2000
Springer
15 years 4 months ago
Approximate Objects and Approximate Theories
We propose to extend the ontology of logical AI to include approximate objects, approximate predicates and approximate theories. Besides the ontology we treat the relations among ...
John McCarthy
CIE
2008
Springer
15 years 2 months ago
Recursion on Nested Datatypes in Dependent Type Theory
Nested datatypes are families of datatypes that are indexed over all types and where the datatype constructors relate different members of the family. This may be used to represent...
Ralph Matthes