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FOSSACS
2005
Springer
13 years 11 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...
CADE
2003
Springer
14 years 6 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
SEMWEB
2009
Springer
14 years 25 days ago
Axiomatic First-Order Probability
Most languages for the Semantic Web have their logical basis in some fragment of first-order logic. Thus, integrating first-order logic with probability is fundamental for represen...
Kathryn B. Laskey
GG
2004
Springer
13 years 11 months ago
Representing First-Order Logic Using Graphs
We show how edge-labelled graphs can be used to represent first-order logic formulae. This gives rise to recursively nested structures, in which each level of nesting corresponds ...
Arend Rensink
LICS
2007
IEEE
14 years 17 days ago
First-Order and Temporal Logics for Nested Words
Nested words are a structured model of execution paths in procedural programs, reflecting their call and return nesting structure. Finite nested words also capture the structure ...
Rajeev Alur, Marcelo Arenas, Pablo Barceló,...