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» The logic of proofs, semantically
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APAL
2008
159views more  APAL 2008»
13 years 9 months ago
Approximations of modal logics: K and beyond
Inspired by recent work on approximations of classical logic, we present a method that approximates several modal logics in a modular way. Our starting point is the limitation of ...
Guilherme de Souza Rabello, Marcelo Finger
CNL
2009
13 years 10 months ago
The Naproche Project Controlled Natural Language Proof Checking of Mathematical Texts
Abstract. This paper discusses the semi-formal language of mathematics and presents the Naproche CNL, a controlled natural language for mathematical authoring. Proof Representation...
Marcos Cramer, Bernhard Fisseni, Peter Koepke, Dan...
LICS
2002
IEEE
14 years 2 months ago
A Syntactic Approach to Foundational Proof-Carrying Code
Proof-Carrying Code (PCC) is a general framework for verifying the safety properties of machine-language programs. PCC proofs are usually written in a logic extended with language...
Nadeem Abdul Hamid, Zhong Shao, Valery Trifonov, S...
CORR
2011
Springer
170views Education» more  CORR 2011»
13 years 28 days ago
A Modular Type-checking algorithm for Type Theory with Singleton Types and Proof Irrelevance
We define a logical framework with singleton types and one universe of small types. We give the semantics using a PER model; it is used for constructing a normalisation-by-evaluat...
Andreas Abel, Thierry Coquand, Miguel Pagano
OWLED
2007
13 years 10 months ago
Extending Fuzzy Description Logics for the Semantic Web
Fuzzy Description Logics (Fuzzy DLs) and fuzzy OWL have been proposed as languages able to represent and reason about imprecise and vague knowledge. Such extensions have gained con...
Giorgos Stoilos, Giorgos B. Stamou