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» First-order Logic: Modality and Intensionality
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IGPL
2002
85views more  IGPL 2002»
14 years 10 months ago
Fibring Modal First-Order Logics: Completeness Preservation
Fibring is defined as a mechanism for combining logics with a firstorder base, at both the semantic and deductive levels. A completeness theorem is established for a wide class of...
Amílcar Sernadas, Cristina Sernadas, Albert...
JSYML
2002
114views more  JSYML 2002»
14 years 10 months ago
Interpolation for First Order S5
An interpolation theorem holds for many standard modal logics, but first order S5 is a prominent example of a logic for which it fails. In this paper it is shown that a first orde...
Melvin Fitting
CADE
2001
Springer
15 years 10 months ago
A Sequent Calculus for First-Order Dynamic Logic with Trace Modalities
The modalities of Dynamic Logic refer to the final state of a program execution and allow to specify programs with pre- and postconditions. In this paper, we extend Dynamic Logic w...
Bernhard Beckert, Steffen Schlager
TABLEAUX
2000
Springer
15 years 1 months ago
MSPASS: Modal Reasoning by Translation and First-Order Resolution
mspass is an extension of the first-order theorem prover spass, which can be used as a modal logic theorem prover, a theorem prover for description logics and a theorem prover for ...
Ullrich Hustadt, Renate A. Schmidt
CADE
2003
Springer
15 years 10 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