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» A Logic for Approximate First-Order Reasoning
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CADE
2005
Springer
14 years 7 months ago
Reflecting Proofs in First-Order Logic with Equality
Our general goal is to provide better automation in interactive proof assistants such as Coq. We present an interpreter of proof traces in first-order multi-sorted logic with equal...
Evelyne Contejean, Pierre Corbineau
TPHOL
2003
IEEE
14 years 25 days ago
First Order Logic with Domain Conditions
This paper addresses the crucial issue in the design of a proof development system of how to deal with partial functions and the related question of how to treat undefined terms. ...
Freek Wiedijk, Jan Zwanenburg
LICS
2006
IEEE
14 years 1 months ago
The Boundedness Problem for Monadic Universal First-Order Logic
We consider the monadic boundedness problem for least fixed points over FO formulae as a decision problem: Given a formula ϕ(X, x), positive in X, decide whether there is a unif...
Martin Otto
FLAIRS
2008
13 years 10 months ago
A First-Order Bayesian Tool for Probabilistic Ontologies
One of the major weaknesses of current research on the Semantic Web (SW) is the lack of proper means to represent and reason with uncertainty. A number of recent efforts from the ...
Paulo Cesar G. da Costa, Marcelo Ladeira, Rommel N...
CADE
2007
Springer
14 years 7 months ago
Encoding First Order Proofs in SAT
We present a method for proving rigid first order theorems by encoding them as propositional satisfiability problems. We encode the existence of a first order connection tableau an...
Todd Deshane, Wenjin Hu, Patty Jablonski, Hai Lin,...