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» Automating Coherent Logic
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KR
2010
Springer
15 years 11 months ago
Set-Oriented Logical Connectives: Syntax and Semantics
Of the common commutative binary logical connectives, only and and or may be used as operators that take arbitrary numbers of arguments with order and multiplicity being irrelevan...
Stuart C. Shapiro
CSL
2001
Springer
15 years 11 months ago
Categorical and Kripke Semantics for Constructive S4 Modal Logic
Abstract. We consider two systems of constructive modal logic which are computationally motivated. Their modalities admit several computational interpretations and are used to capt...
Natasha Alechina, Michael Mendler, Valeria de Paiv...
LPAR
2001
Springer
15 years 11 months ago
A Local System for Classical Logic
Abstract. The calculus of structures is a framework for specifying logical systems, which is similar to the one-sided sequent calculus but more general. We present a system of infe...
Kai Brünnler, Alwen Fernanto Tiu
TPHOL
1999
IEEE
15 years 10 months ago
Inductive Datatypes in HOL - Lessons Learned in Formal-Logic Engineering
Abstract. Isabelle/HOL has recently acquired new versions of definitional packages for inductive datatypes and primitive recursive functions. In contrast to its predecessors and mo...
Stefan Berghofer, Markus Wenzel
TPHOL
1998
IEEE
15 years 10 months ago
Program Abstraction in a Higher-Order Logic Framework
Abstraction in a Higher-Order Logic Framework Marco Benini Sara Kalvala Dirk Nowotka Department of Computer Science University of Warwick, Coventry, CV4 7AL, United Kingdom We pres...
Marco Benini, Sara Kalvala, Dirk Nowotka