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» A Paraconsistent Higher Order Logic
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TOCL
2008
128views more  TOCL 2008»
13 years 7 months ago
A comprehensive combination framework
fragment enjoys suitable noetherianity conditions and admits an abstract version of a `KeislerShelah like' isomorphism theorem. We show that this general decidability transfer...
Silvio Ghilardi, Enrica Nicolini, Daniele Zucchell...
ECSQARU
2007
Springer
14 years 1 months ago
Conceptual Uncertainty and Reasoning Tools
Problems of conceptual uncertainty have been dealt with in theories of formal logic. Such theories try to accommodate vagueness in two main ways. One is fuzzy logic that introduces...
Bertil Rolf
CSL
2007
Springer
14 years 1 months ago
Unbounded Proof-Length Speed-Up in Deduction Modulo
In 1973, Parikh proved a speed-up theorem conjectured by G¨odel 37 years before: there exist arithmetical formulæ that are provable in first order arithmetic, but whose shorter ...
Guillaume Burel
AMAI
2006
Springer
13 years 7 months ago
Mechanizing common knowledge logic using COQ
This paper proposes a formalization in COQ of common knowledge logic and checks its adequacy on case studies. This exercise allows exploring experimentally the proof-theoretic sid...
Pierre Lescanne
CSL
2002
Springer
13 years 7 months ago
Open Proofs and Open Terms: A Basis for Interactive Logic
In the process of interactive theorem proving one often works with incomplete higher order proofs. In this paper we address the problem of giving a correctness criterion for these ...
Herman Geuvers, Gueorgui I. Jojgov