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» A Paraconsistent Higher Order Logic
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BIRTHDAY
2010
Springer
13 years 7 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
13 years 11 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
13 years 11 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
13 years 12 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
13 years 12 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