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» On the logic of argumentation theory
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AML
2007
80views more  AML 2007»
15 years 6 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
LANMR
2007
15 years 8 months ago
Dialetheic truth theory: inconsistency, non-triviality, soundness, incompleteness
The best-known application of dialetheism is to semantic paradoxes such as the Liar. In particular, Graham Priest has advocated the adoption of an axiomatic truth theory in which c...
Federico Marulanda Rey
LICS
2007
IEEE
16 years 22 days ago
A Dependent Set Theory
Set theories are traditionally based on first-order logic. We show that in a constructive setting, basing a set theory on a dependent logic yields many benefits. To this end, we...
Wojciech Moczydlowski
LICS
1991
IEEE
15 years 10 months ago
Defaults and Revision in Structured Theories
Starting from a logic which speci es how to make deductions from a set of sentences (a ` at theory'), a way to generalise this toa partiallyordered bag ofsentences (a `struct...
Mark Ryan
ICFP
2002
ACM
16 years 6 months ago
An expressive, scalable type theory for certified code
We present the type theory LTT, intended to form a basis for typed target languages, providing an internal notion of logical proposition and proof. The inclusion of explicit proof...
Karl Crary, Joseph Vanderwaart