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» Automating Theories in Intuitionistic Logic
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TLCA
2007
Springer
14 years 1 months ago
Higher-Order Logic Programming Languages with Constraints: A Semantics
A Kripke Semantics is defined for a higher-order logic programming language with constraints, based on Church’s Theory of Types and a generic constraint formalism. Our syntactic...
James Lipton, Susana Nieva
KI
1990
Springer
13 years 11 months ago
The Representation of Program Synthesis in Higher Order Logic
ue to a lack of abstraction in the formalization of deductive mechanisms involved in programming reasoning tools for the development of program synthesizers are not yet available. ...
Christoph Kreitz
CADE
2006
Springer
14 years 8 months ago
Combining Type Theory and Untyped Set Theory
Abstract. We describe a second-order type theory with proof irrelevance. Within this framework, we give a representation of a form of Mac Lane set theory and discuss automated supp...
Chad E. Brown
LPAR
2004
Springer
14 years 1 months ago
The Inverse Method for the Logic of Bunched Implications
Abstract. The inverse method, due to Maslov, is a forward theorem proving method for cut-free sequent calculi that relies on the subformula property. The Logic of Bunched Implicati...
Kevin Donnelly, Tyler Gibson, Neel Krishnaswami, S...
LFCS
2009
Springer
14 years 2 months ago
The Logic of Proofs as a Foundation for Certifying Mobile Computation
We explore an intuitionistic fragment of Art¨emov’s Logic of Proofs as a type system for a programming language for mobile units. Such units consist of both a code and certific...
Eduardo Bonelli, Federico Feller