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» On a Logical Foundation for Explicit Substitutions
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ICFP
2005
ACM
15 years 9 months ago
A computational approach to reflective meta-reasoning about languages with bindings
We present a foundation for a computational meta-theory of languages with bindings implemented in a computer-aided formal reasoning environment. Our theory provides the ability to...
Aleksey Nogin, Alexei Kopylov, Xin Yu, Jason Hicke...
PLANX
2007
14 years 11 months ago
XML Transformation Language Based on Monadic Second Order Logic
Although monadic second-order logic (MSO) has been a foundation of XML queries, little work has attempted to take MSO formulae themselves as a programming construct. Indeed, MSO f...
Kazuhiro Inaba, Haruo Hosoya
CSL
2006
Springer
15 years 1 months ago
A Sequent Calculus for Type Theory
Based on natural deduction, Pure Type Systems (PTS) can express a wide range of type theories. In order to express proof-search in such theories, we introduce the Pure Type Sequent...
Stéphane Lengrand, Roy Dyckhoff, James McKi...
CORR
2010
Springer
194views Education» more  CORR 2010»
14 years 7 months ago
A Focused Sequent Calculus Framework for Proof Search in Pure Type Systems
Basic proof search tactics in logic and type theory can be seen as the root-rst applications of rules in an appropriate sequent calculus, preferably without the redundancies gener...
Stéphane Lengrand, Roy Dyckhoff, James McKi...
FORTE
2010
14 years 11 months ago
Exploiting the Hierarchical Structure of Rule-Based Specifications for Decision Planning
Abstract. Rule-based specifications have been very successful as a declarative approach in many domains, due to the handy yet solid foundations offered by rule-based machineries li...
Artur Boronat, Roberto Bruni, Alberto Lluch-Lafuen...