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» First-order Logic: Modality and Intensionality
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IGPL
2002
85views more  IGPL 2002»
13 years 4 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»
13 years 4 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
14 years 4 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
13 years 8 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
14 years 4 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