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 ...
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...
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...
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...
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...