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» Classical Logic with Partial Functions
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CADE
1994
Springer
13 years 10 months ago
A Mechanization of Strong Kleene Logic for Partial Functions
Even though it is not very often admitted, partial functions do play a significant role in many practical applications of deduction systems. Kleene has already given a semantic acc...
Manfred Kerber, Michael Kohlhase
MSCS
2007
125views more  MSCS 2007»
13 years 5 months ago
On categorical models of classical logic and the Geometry of Interaction
It is well-known that weakening and contraction cause na¨ıve categorical models of the classical sequent calculus to collapse to Boolean lattices. In previous work, summarized b...
Carsten Führmann, David J. Pym
FROCOS
2000
Springer
13 years 10 months ago
Structured Sequent Calculi for Combining Intuitionistic and Classical First-Order Logic
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Paqui Lucio
BIRTHDAY
2000
Springer
13 years 10 months ago
Bistructures, bidomains, and linear logic
Bistructures are a generalisation of event structures which allow a representation of spaces of functions at higher types in an orderextensional setting. The partial order of caus...
Pierre-Louis Curien, Gordon D. Plotkin, Glynn Wins...
ICFP
2010
ACM
13 years 6 months ago
Lolliproc: to concurrency from classical linear logic via curry-howard and control
While many type systems based on the intuitionistic fragment of linear logic have been proposed, applications in programming languages of the full power of linear logic--including...
Karl Mazurak, Steve Zdancewic