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A Judgmental Analysis Of Linear Logic (2003)  (Make Corrections)  (9 citations)
Bor-Yuh Evan Chang +, Kaustuv Chaudhuri, And Frank Pfenning



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Abstract: We reexamine the foundations of linear logic, developing a system of natural deduction following Martin-Lof's separation of judgments from propositions. Our construction yields a clean and elegant formulation that accounts for a rich set of multiplicative, additive, and exponential connectives, extending dual intuitionistic linear logic but di#ering from both classical linear logic and Hyland and de Paiva's full intuitionistic linear logic. We also provide a corresponding sequent calculus... (Update)

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BibTeX entry:   (Update)

Bor-Yuh Evan Chang, Kaustuv Chaudhuri, and Frank Pfenning. A judgmental analysis of linear logic. Technical Report CMU-CS-03-131, Carnegie Mellon University, 2003. http://citeseer.ist.psu.edu/article/chang03judgmental.html   More

@misc{ chang03judgmental,
  author = "B. Chang and K. Chaudhuri and F. Pfenning",
  title = "A judgmental analysis of linear logic",
  text = "Bor-Yuh Evan Chang, Kaustuv Chaudhuri, and Frank Pfenning. A judgmental
    analysis of linear logic. Technical Report CMU-CS-03-131, Carnegie Mellon
    University, 2003.",
  year = "2003",
  url = "citeseer.ist.psu.edu/article/chang03judgmental.html" }
Citations (may not include all citations):
982   Theoretical Computer Science (context) - Girard, logic - 1987
257   Logic programming in a fragment of intuitionistic linear log.. - Hodas, Miller - 1994
233   Computational interpretations of linear logic - Abramsky - 1993
134   calculus: An algorithmic interpretation of classical natural.. (context) - Parigot - 1992
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104   Annals of Pure and Applied Logic (context) - unity, logic - 1993
90   A linear logical framework - Cervesato, Pfenning - 2002
84   Mathematical Structures in Computer Science (context) - Pfenning, Davies et al. - 2001
77   Dual Intuitionistic Linear Logic (context) - Barber - 1996
73   Untersuchungen uber das logische Schlieen (context) - Gentzen - 1969
70   the meanings of the logical constants and the justifications.. (context) - of - 1983
58   Linear types and non-size increasing polynomial time computa.. - Hofmann - 2000
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46   On intuitionistic linear logic (context) - Bierman - 1994
46   Resource logics: proof-theoretical investigations (context) - Roorda - 1991
35   Linear logic and lazy computation (context) - Girard, Lafont - 1987
34   Classically and intuitionistically provably recursive functi.. (context) - Friedman - 1978
33   Relating natural deduction and sequent calculus for intuitio.. - Polakow, Pfenning - 1999
33   The noble art of linear decorating (context) - Schellinx - 1994
30   Games semantics for full propositional linear logic (context) - Lamarche - 1995
29   A syntax for linear logic - Wadler - 1993
29   Structural cut elimination in linear logic - Pfenning - 1994
25   Full intuitionistic linear logic (context) - Hyland, de Paiva - 1993
24   the intuitionistic force of classical search - Ritter, Pym et al. - 2000
21   A syntactical analysis of non-sizeincreasing polynomial time.. - Aehlig, Schwichtenberg - 2001
18   Proof theory for full intuitionistic linear logic - Robin, Cockett et al. - 1997
18   Proof search issues in some non-classical logics - Howe - 1998
12   Higher-Order and Symbolic Computation (context) - Berdine, O'Hearn et al. - 2002
12   Center for the Study of Language and Information (context) - Troelstra, linear et al. - 1992
10   Information and Computation (context) - elimination, intuitionistic et al. - 2000
8   Department of Computer Science (context) - Polakow, logic et al. - 2001
8   A formulation of linear logic based on dependency-relations - uner, de Paiva - 1997
8   Normal natural deduction proofs (context) - Sieg, Byrnes - 1998
7   Modal translations in substructural logics (context) - sen - 1992
6   Personal communication (context) - de Paiva - 2003
6   Journal of Philosophical Logic (context) - linear - 2002
6   A normalizing system of natural deduction for intuitionistic.. (context) - Negri - 2000



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