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CADE
2003
Springer
16 years 3 days 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
15 years 6 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
15 years 3 months 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
14 years 12 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
15 years 5 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