@article(andreoli92jlc, author = {Jean-Marc Andreoli}, year = {1992}, title = {Logic Programming with Focusing Proofs in Linear Logic}, journal = {J. of Logic and Computation}, volume = {2}, number = {3}, pages = {297--347}, doi = {10.1093/logcom/2.3.297}, ) @article(baelde12tocl, author = {David Baelde}, year = {2012}, title = {Least and greatest fixed points in linear logic}, journal = {ACM Trans.\ on Computational Logic}, volume = {13}, number = {1}, doi = {10.1145/2071368.2071370}, ) @inproceedings(baelde07cade, author = {David Baelde and Andrew Gacek and Dale Miller and Gopalan Nadathur and Alwen Tiu}, year = {2007}, title = {The {Bedwyr} system for model checking over syntactic expressions}, editor = {F. Pfenning}, booktitle = {21th Conf.\ on Automated Deduction (CADE)}, series = {LNAI}, volume = {4603}, publisher = {Springer}, address = {New York}, pages = {391--397}, doi = {10.1007/978-3-540-73595-3\_28}, ) @inproceedings(baelde07lpar, author = {David Baelde and Dale Miller}, year = {2007}, title = {Least and greatest fixed points in linear logic}, editor = {N. Dershowitz and A. Voronkov}, booktitle = {International Conference on Logic for Programming and Automated Reasoning (LPAR)}, series = {LNCS}, volume = {4790}, pages = {92--106}, doi = {10.1007/978-3-540-75560-9\_9}, ) @inproceedings(emerson08bmc, author = {E. Allen Emerson}, year = {2008}, title = {The Beginning of Model Checking: {A} Personal Perspective}, editor = {Orna Grumberg and Helmut Veith}, booktitle = {25 Years of Model Checking - History, Achievements, Perspectives}, series = {Lecture Notes in Computer Science}, volume = {5000}, publisher = {Springer}, pages = {27--45}, doi = {10.1007/978-3-540-69850-0\_2}, ) @incollection(gentzen35, author = {Gerhard Gentzen}, year = {1935}, title = {Investigations into Logical Deduction}, editor = {M. E. Szabo}, booktitle = {{The Collected Papers of Gerhard Gentzen}}, publisher = {North-Holland}, address = {Amsterdam}, pages = {68--131}, doi = {10.1007/BF01201353}, ) @article(girard87tcs, author = {Jean-Yves Girard}, year = {1987}, title = {Linear Logic}, journal = {Theoretical Computer Science}, volume = {50}, pages = {1--102}, doi = {10.1016/0304-3975(87)90045-4}, ) @article(girard91mscs, author = {Jean-Yves Girard}, year = {1991}, title = {A new constructive logic: classical logic}, journal = {Math. Structures in Comp. Science}, volume = {1}, pages = {255--296}, doi = {10.1017/S0960129500001328}, ) @unpublished(girard92mail, author = {Jean-Yves Girard}, year = {1992}, title = {A Fixpoint Theorem in Linear Logic}, note = {An email posting to the mailing list linear@cs.stanford.edu}, ) @article(kanovich95apal, author = {Max I. Kanovich}, year = {1995}, title = {Petri Nets, {Horn} programs, {Linear} {Logic} and vector games}, journal = {Annals of Pure and Applied Logic}, volume = {75}, number = {1--2}, pages = {107--135}, doi = {10.1016/0168-0072(94)00060-G}, ) @article(mcdowell00tcs, author = {Raymond McDowell and Dale Miller}, year = {2000}, title = {Cut-elimination for a logic with definitions and induction}, journal = {Theoretical Computer Science}, volume = {232}, pages = {91--119}, doi = {10.1016/S0304-3975(99)00171-1}, ) @article(miller05tocl, author = {Dale Miller and Alwen Tiu}, year = {2005}, title = {A proof theory for generic judgments}, journal = {ACM Trans.\ on Computational Logic}, volume = {6}, number = {4}, pages = {749--783}, doi = {10.1145/1094622.1094628}, ) @inproceedings(schroeder-heister93lics, author = {Schroeder-Heister, Peter}, year = {1993}, title = {Rules of Definitional Reflection}, editor = {M. Vardi}, booktitle = {8th Symp.\ on Logic in Computer Science}, organization = {IEEE Computer Society Press}, publisher = {IEEE}, pages = {222--232}, doi = {10.1109/LICS.1993.287585}, ) @incollection(schwichtenberg77hml, author = {Helmut Schwichtenberg}, year = {1977}, title = {Proof Theory: Some applications of cut-elimination}, editor = {J. Barwise}, booktitle = {Handbook of Mathematical Logic}, series = {Studies in Logic and the Foundations of Mathematics}, volume = {90}, publisher = {North-Holland}, address = {Amsterdam}, pages = {739--782}, doi = {10.1016/S0049-237X(08)71124-8}, ) @inproceedings(tiu05fguc, author = {Alwen Tiu and Dale Miller}, year = {2005}, title = {A Proof Search Specification of the $\pi$-Calculus}, booktitle = {3rd Workshop on the Foundations of Global Ubiquitous Computing}, series = {ENTCS}, volume = {138}, pages = {79--101}, doi = {10.1016/j.entcs.2005.05.006}, ) @article(tiu10tocl, author = {Alwen Tiu and Dale Miller}, year = {2010}, title = {Proof Search Specifications of Bisimulation and Modal Logics for the $\pi$-calculus}, journal = {ACM Trans.\ on Computational Logic}, volume = {11}, number = {2}, doi = {10.1145/1656242.1656248}, ) @article(tiu12jal, author = {Alwen Tiu and Alberto Momigliano}, year = {2012}, title = {Cut elimination for a logic with induction and co-induction}, journal = {Journal of Applied Logic}, volume = {10}, number = {4}, pages = {330--367}, doi = {10.1016/j.jal.2012.07.007}, )