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ITP
2010
165views Mathematics» more  ITP 2010»
14 years 2 months ago
A Mechanized Translation from Higher-Order Logic to Set Theory
Abstract. In order to make existing formalizations available for settheoretic developments, we present an automated translation of theories from Isabelle/HOL to Isabelle/ZF. This c...
Alexander Krauss, Andreas Schropp
KI
1990
Springer
14 years 2 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
AGP
2010
IEEE
14 years 4 months ago
Proof-Theoretic and Higher-Order Extensions of Logic Programming
We review the Italian contribution to proof-theoretic and higher-order extensions of logic programming; this originated from the realization that Horn clauses lacked standard abstr...
Alberto Momigliano, Mario Ornaghi
ECML
2006
Springer
14 years 2 months ago
(Agnostic) PAC Learning Concepts in Higher-Order Logic
This paper studies the PAC and agnostic PAC learnability of some standard function classes in the learning in higher-order logic setting introduced by Lloyd et al. In particular, i...
Kee Siong Ng
TPHOL
2005
IEEE
14 years 4 months ago
A Design Structure for Higher Order Quotients
The quotient operation is a standard feature of set theory, where a set is partitioned into subsets by an equivalence relation. We reinterpret this idea for higher order logic, whe...
Peter V. Homeier