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CAEPIA
2003
Springer
15 years 10 months ago
A Multimodal Logic Approach to Order of Magnitude Qualitative Reasoning
Non-classical logics have proven to be an adequate framework to formalize knowledge representation. In this paper we focus on a multimodal approach to formalize order-of-magnitude ...
Alfredo Burrieza, Manuel Ojeda-Aciego
AMAST
2008
Springer
15 years 6 months ago
Generating Specialized Rules and Programs for Demand-Driven Analysis
Many complex analysis problems can be most clearly and easily specified as logic rules and queries, where rules specify how given facts can be combined to infer new facts, and quer...
K. Tuncay Tekle, Katia Hristova, Yanhong A. Liu
CADE
2006
Springer
16 years 5 months ago
Extracting Programs from Constructive HOL Proofs Via IZF Set-Theoretic Semantics
Church's Higher Order Logic is a basis for proof assistants -- HOL and PVS. Church's logic has a simple set-theoretic semantics, making it trustworthy and extensible. We ...
Robert L. Constable, Wojciech Moczydlowski
CADE
2010
Springer
15 years 5 months ago
Beluga: A Framework for Programming and Reasoning with Deductive Systems (System Description)
Beluga is an environment for programming and reasoning about formal systems given by axioms and inference rules. It implements the logical framework LF for specifying and prototypi...
Brigitte Pientka, Joshua Dunfield
FSTTCS
2005
Springer
15 years 10 months ago
Testing Concurrent Systems: An Interpretation of Intuitionistic Logic
Abstract. We present a natural confluence of higher-order hereditary Harrop formulas (HH formulas), Constraint Logic Programming (CLP, [JL87]), and Concurrent Constraint Programmi...
Radha Jagadeesan, Gopalan Nadathur, Vijay A. Saras...