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CADE
2003
Springer
14 years 8 months ago
A Principle for Incorporating Axioms into the First-Order Translation of Modal Formulae
In this paper we present a translation principle, called the axiomatic translation, for reducing propositional modal logics with background theories, including triangular propertie...
Renate A. Schmidt, Ullrich Hustadt
LORI
2009
Springer
14 years 3 months ago
First-Order Logic Formalisation of Arrow's Theorem
Arrow’s Theorem is a central result in social choice theory. It states that, under certain natural conditions, it is impossible to aggregate the preferences of a finite set of i...
Umberto Grandi, Ulle Endriss
LILOG
1989
14 years 16 days ago
Order Sorted Predicate Logic
We propose a theory for reasoning about actions based on order-sorted predicate logic where one can consider an elaborate taxonomy of objects. We are interested in the projection ...
Arnold Oberschelp
BIRTHDAY
2010
Springer
13 years 8 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
TPHOL
2003
IEEE
14 years 1 months ago
First Order Logic with Domain Conditions
This paper addresses the crucial issue in the design of a proof development system of how to deal with partial functions and the related question of how to treat undefined terms. ...
Freek Wiedijk, Jan Zwanenburg