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» A Paraconsistent Higher Order Logic
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BIRTHDAY
2010
Springer
14 years 9 months ago
Verifying the Modal Logic Cube Is an Easy Task (For Higher-Order Automated Reasoners)
Prominent logics, including quantified multimodal logics, can be elegantly embedded in simple type theory (classical higher-order logic). Furthermore, off-the-shelf reasoning syste...
Christoph Benzmüller
FTP
1998
Springer
15 years 1 months ago
Higher-Order Modal Logic - A Sketch
Abstract. First-order modal logic, in the usual formulations, is not sufficiently expressive, and as a consequence problems like Frege's morning
Melvin Fitting
CADE
1998
Springer
15 years 1 months ago
Extensional Higher-Order Resolution
Abstract. In this paper we present an extensional higher-order resolution calculus that is complete relative to Henkin model semantics. The treatment of the extensionality principl...
Christoph Benzmüller, Michael Kohlhase
TPHOL
2000
IEEE
15 years 2 months ago
Proof Terms for Simply Typed Higher Order Logic
Abstract. This paper presents proof terms for simply typed, intuitionistic higher order logic, a popular logical framework. Unification-based algorithms for the compression and re...
Stefan Berghofer, Tobias Nipkow
CL
2000
Springer
15 years 1 months ago
Logic Program Synthesis in a Higher-Order Setting
We describe a system for the synthesis of logic programs from specifications based on higher-order logical descriptions of appropriate refinement operations. The system has been ...
David Lacey, Julian Richardson, Alan Smaill