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» A Logical Approach to Abstract Algebra
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AISC
2004
Springer
13 years 10 months ago
Four Approaches to Automated Reasoning with Differential Algebraic Structures
While implementing a proof for the Basic Perturbation Lemma (a central result in Homological Algebra) in the theorem prover Isabelle one faces problems such as the implementation o...
Jesús Aransay, Clemens Ballarin, Julio Rubi...
APAL
2010
123views more  APAL 2010»
13 years 6 months ago
Cut elimination and strong separation for substructural logics: An algebraic approach
Abstract. We develop a general algebraic and proof-theoretic study of substructural logics that may lack associativity, along with other structural rules. Our study extends existin...
Nikolaos Galatos, Hiroakira Ono
TPHOL
1998
IEEE
13 years 10 months ago
Program Abstraction in a Higher-Order Logic Framework
Abstraction in a Higher-Order Logic Framework Marco Benini Sara Kalvala Dirk Nowotka Department of Computer Science University of Warwick, Coventry, CV4 7AL, United Kingdom We pres...
Marco Benini, Sara Kalvala, Dirk Nowotka
ICALP
2001
Springer
13 years 10 months ago
An Axiomatic Approach to Metareasoning on Nominal Algebras in HOAS
We present a logical framework Υ for reasoning on a very general class of languages featuring binding operators, called nominal , presented in higher-order abstract syntax (HOAS)....
Furio Honsell, Marino Miculan, Ivan Scagnetto