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» Analytic Calculi for Product Logics
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LFCS
2009
Springer
13 years 12 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
LPAR
2004
Springer
13 years 10 months ago
Uniform Rules and Dialogue Games for Fuzzy Logics
Abstract. We provide uniform and invertible logical rules in a framework of relational hypersequents for the three fundamental t-norm based fuzzy logics i.e., Łukasiewicz logic, G...
Agata Ciabattoni, Christian G. Fermüller, Geo...
AML
2007
80views more  AML 2007»
13 years 5 months ago
Normal forms for fuzzy logics: a proof-theoretic approach
A method is described for obtaining conjunctive normal forms for logics using Gentzen-style rules possessing a special kind of strong invertibility. This method is then applied to ...
Petr Cintula, George Metcalfe
CADE
2009
Springer
14 years 6 months ago
Complexity of Fractran and Productivity
Abstract. In functional programming languages the use of infinite structures is common practice. For total correctness of programs dealing with infinite structures one must guarant...
Clemens Grabmayer, Dimitri Hendriks, Jörg End...
SYNTHESE
2010
59views more  SYNTHESE 2010»
13 years 3 months ago
Frege's Begriffsschrift as a lingua characteristica
In this paper I suggest an answer to the question of what Frege means when he says that his logical system, the Begriffsschrift, is like the language Leibniz sketched, a lingua ch...
Tapio Korte