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TPHOL
1992
IEEE
13 years 9 months ago
The HOL Logic Extended with Quantification over Type Variables
The HOL system is an LCF-style mechanized proof-assistant for conducting proofs in higher order logic. This paper discusses a proposal to extend the primitive basis of the logic un...
Thomas F. Melham
TPHOL
2007
IEEE
13 years 11 months ago
HOL2P - A System of Classical Higher Order Logic with Second Order Polymorphism
Abstract. This paper introduces the logical system HOL2P that extends classical higher order logic (HOL) with type operator variables and universal types. HOL2P has explicit term o...
Norbert Völker
TPHOL
2009
IEEE
13 years 12 months ago
The HOL-Omega Logic
A new logic is posited for the widely used HOL theorem prover, as an extension of the existing higher order logic of the HOL4 system. The logic is extended to three levels, adding ...
Peter V. Homeier
AISC
2008
Springer
13 years 7 months ago
Parametric Linear Arithmetic over Ordered Fields in Isabelle/HOL
We use higher-order logic to verify a quantifier elimination procedure for linear arithmetic over ordered fields, where the coefficients of variables are multivariate polynomials o...
Amine Chaieb
CORR
2006
Springer
120views Education» more  CORR 2006»
13 years 5 months ago
Reasoning About Knowledge of Unawareness
Awareness has been shown to be a useful addition to standard epistemic logic for many applications. However, standard propositional logics for knowledge and awareness cannot expre...
Joseph Y. Halpern, Leandro Chaves Rêgo