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» On a Logical Foundation for Explicit Substitutions
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ICFP
2005
ACM
14 years 7 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
13 years 8 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
13 years 11 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»
13 years 4 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
13 years 8 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...