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LFCS
2009
Springer
14 years 6 months ago
Positive Fork Graph Calculus
We introduce and illustrate a graph calculus for proving and deciding the positive identities and inclusions of fork algebras, i.e., those without occurrences of complementation. ...
Renata P. de Freitas, Sheila R. M. Veloso, Paulo A...
LFCS
2009
Springer
14 years 6 months ago
Product-Free Lambek Calculus Is NP-Complete
In this paper we prove that the derivability problems for productfree Lambek calculus and product-free Lambek calculus allowing empty premises are NP-complete. Also we introduce a...
Yury Savateev
LFCS
2009
Springer
14 years 6 months ago
The Logic of Proofs as a Foundation for Certifying Mobile Computation
We explore an intuitionistic fragment of Art¨emov’s Logic of Proofs as a type system for a programming language for mobile units. Such units consist of both a code and certific...
Eduardo Bonelli, Federico Feller
LFCS
2009
Springer
14 years 6 months ago
Temporalization of Probabilistic Propositional Logic
In this paper we study several properties of the Exogenous Probabilistic Propositional Logic (EPPL), a logic for reasoning about probabilities, with the purpose of introducing a t...
Pedro Baltazar, Paulo Mateus
LFCS
2009
Springer
14 years 6 months ago
A Clausal Approach to Proof Analysis in Second-Order Logic
This work defines an extension CERES2 of the first-order cut-elimination method CERES to the subclass of sequent calculus proofs in second-order logic using quantifier-free comp...
Stefan Hetzl, Alexander Leitsch, Daniel Weller, Br...
LFCS
2009
Springer
14 years 6 months ago
Fuzzy Description Logic Reasoning Using a Fixpoint Algorithm
We present FixIt(ALC), a novel procedure for deciding knowledge base (KB) satisfiability in the Fuzzy Description Logic (FDL) ALC. FixIt(ALC) does not search for tree-structured m...
Uwe Keller, Stijn Heymans
LFCS
2009
Springer
14 years 6 months ago
Quantitative Comparison of Intuitionistic and Classical Logics - Full Propositional System
Abstract. We address the problem of quantitative comparison of classical and intuitionistic logics within the language of the full propositional system. We apply two different app...
Antoine Genitrini, Jakub Kozik
LFCS
2009
Springer
14 years 6 months ago
Canonical Signed Calculi, Non-deterministic Matrices and Cut-Elimination
Canonical propositional Gentzen-type calculi are a natural class of systems which in addition to the standard axioms and structural rules have only logical rules where exactly one ...
Arnon Avron, Anna Zamansky
LFCS
2009
Springer
14 years 6 months ago
A Labeled Natural Deduction System for a Fragment of CTL*
We give a sound and complete labeled natural deduction system for an interesting fragment of CTL∗ , namely the until-free version of BCTL∗ . The logic BCTL∗ is obtained by re...
Andrea Masini, Luca Viganò, Marco Volpe
LFCS
2009
Springer
14 years 6 months ago
Completeness Results for Memory Logics
Memory logics are a family of modal logics in which standard relational structures are augmented with data structures and additional operations to modify and query these structure...
Carlos Areces, Santiago Figueira, Sergio Mera