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» On Higher-Order Description Logics
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CADE
2001
Springer
14 years 8 months ago
Termination and Reduction Checking for Higher-Order Logic Programs
In this paper, we present a syntax-directed termination and reduction checker for higher-order logic programs. The reduction checker verifies parametric higher-order subterm orderi...
Brigitte Pientka
TPHOL
2007
IEEE
14 years 2 months ago
Proof Pearl: The Power of Higher-Order Encodings in the Logical Framework LF
Abstract. In this proof pearl, we demonstrate the power of higherorder encodings in the logical framework Twelf[PS99] by investigating proofs about an algorithmic specification of...
Brigitte Pientka
CADE
2000
Springer
14 years 24 days ago
Machine Instruction Syntax and Semantics in Higher Order Logic
Abstract. Proof-carrying code and other applications in computer security require machine-checkable proofs of properties of machine-language programs. These in turn require axioms ...
Neophytos G. Michael, Andrew W. Appel
TPHOL
1997
IEEE
14 years 19 days ago
Type Classes and Overloading in Higher-Order Logic
Type classes and overloading are shown to be independent concepts that can both be added to simple higher-order logics in the tradition of Church and Gordon, without demanding more...
Markus Wenzel
LICS
2012
IEEE
11 years 10 months ago
Foundational, Compositional (Co)datatypes for Higher-Order Logic: Category Theory Applied to Theorem Proving
—Interactive theorem provers based on higher-order logic (HOL) traditionally follow the definitional approach, reducing high-level specifications to logical primitives. This al...
Dmitriy Traytel, Andrei Popescu, Jasmin Christian ...