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A judgmental analysis of linear logic (2003)  (Make Corrections)  (9 citations)
Bor-Yuh Evan Chang Kaustuv Chaudhuri Frank Pfenning 14 April 2003 Revised...



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Abstract: We reexamine the foundations of linear logic, developing a system of natural deduction following Martin-L of'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 differing 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):
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257   Logic programming in a fragment of intuitionistic linear log.. - Hodas, Miller - 1994
233   Computational interpretations of linear logic - Abramsky - 1993
175   Games and full completeness for multiplicative linear logic - Abramsky, Jagadeesan - 1994
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90   A linear logical framework - Cervesato, Pfenning - 2002
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58   Linear types and non-size increasing polynomial time computa.. - Hofmann - 2000
57   Logic programming with focusing proofs in linear logic (context) - Andreoli - 1992
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46   On intuitionistic linear logic (context) - Bierman - 1994
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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   Structural cut elimination in linear logic - Pfenning - 1994
29   A syntax for linear logic - Wadler - 1993
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-size-increasing polynomial tim.. - 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   A formulation of linear logic based on dependencyrelations - uner, de Paiva - 1997
8   Department of Computer Science (context) - Polakow, logic et al. - 2001
8   Normal natural deduction proofs (context) - Sieg, Byrnes - 1998
7   Modal translations in substructural logics (context) - sen - 1992
6   A normalizing system of natural deduction for intuitionistic.. (context) - Negri - 2000
6   Personal communication (context) - de Paiva - 2003
6   Journal of Philosophical Logic (context) - linear - 2002
4   Seventeenth Annual Symposium on Principles of Programming La.. (context) - Lafont, nets - 1990



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