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» Enriching an Effect Calculus with Linear Types
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CORR
2010
Springer
194views Education» more  CORR 2010»
13 years 2 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...
CORR
2011
Springer
194views Education» more  CORR 2011»
12 years 11 months ago
Polarized Montagovian Semantics for the Lambek-Grishin calculus
Grishin ([10]) proposed enriching the Lambek calculus with multiplicative disjunction (par) and coresiduals. Applications to linguistics were discussed by Moortgat ([15]), who spok...
Arno Bastenhof
FOSSACS
2005
Springer
13 years 10 months ago
A Computational Model for Multi-variable Differential Calculus
Abstract. We introduce a domain-theoretic computational model for multivariable differential calculus, which for the first time gives rise to data types for differentiable functio...
Abbas Edalat, André Lieutier, Dirk Pattinso...
PLANX
2007
13 years 6 months ago
XPath Typing Using a Modal Logic with Converse for Finite Trees
We present an algorithm to solve XPath decision problems under regular tree type constraints and show its use to statically typecheck XPath queries. To this end, we prove the deci...
Pierre Genevès, Nabil Layaïda, Alan Sc...
HASKELL
2008
ACM
13 years 5 months ago
Lightweight monadic regions
We present Haskell libraries that statically ensure the safe use of resources such as file handles. We statically prevent accessing an already closed handle or forgetting to clos...
Oleg Kiselyov, Chung-chieh Shan