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» A Logic for Approximate First-Order Reasoning
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TIME
2008
IEEE
14 years 1 months ago
Decomposition of Decidable First-Order Logics over Integers and Reals
We tackle the issue of representing infinite sets of realvalued vectors. This paper introduces an operator for combining integer and real sets. Using this operator, we decompose ...
Florent Bouchy, Alain Finkel, Jérôme ...
AI
2005
Springer
13 years 7 months ago
First order LUB approximations: characterization and algorithms
One of the major approaches to approximation of logical theories is the upper and lower bounds approach introduced in (Selman and Kautz, 1991, 1996). In this paper, we address the...
Alvaro del Val
FOSSACS
2005
Springer
14 years 1 months ago
From Separation Logic to First-Order Logic
Separation logic is a spatial logic for reasoning locally about heap structures. A decidable fragment of its assertion language was presented in [1], based on a bounded model prope...
Cristiano Calcagno, Philippa Gardner, Matthew Hagu...
FROCOS
2005
Springer
14 years 1 months ago
Connecting a Logical Framework to a First-Order Logic Prover
We present one way of combining a logical framework and first-order logic. The logical framework is used as an interface to a first-order theorem prover. Its main purpose is to k...
Andreas Abel, Thierry Coquand, Ulf Norell
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