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Sequent Calculus and the Specification of Computation Lecture Notes (1998)  (Make Corrections)  
Dale Miller



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Abstract: ly 15 3.1 Problems with proof search . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 3.2 Interpretation as goal-directed search . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 3.3 The syntax of first-order Horn clauses . . . . . . . . . . . . . . . . . . . . . . . . . . 18 3.4 Proof search with first-order Horn clauses . . . . . . . . . . . . . . . . . . . . . . . . 19 3.5 Additional readings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .... (Update)

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BibTeX entry:   (Update)

@misc{ miller-sequent,
  author = "Dale Miller",
  title = "Sequent Calculus and the Specification of Computation - Lecture Notes",
  url = "citeseer.ist.psu.edu/miller98sequent.html" }
Citations (may not include all citations):
854   Information and Computation (context) - Milner, Parrow et al. - 1992  DBLP
854   Information and Computation (context) - Milner, Parrow et al. - 1992  DBLP
419   A formulation of the simple theory of types (context) - Church - 1940  DBLP
367   Computer Architecture A Quantitative Approach (context) - Hennesy, Patterson - 1990
363   Programming in Prolog (context) - Clocksin, Mellish - 1984  ACM
357   Algebraic laws for nondeterminism and concurrency (context) - Hennessy, Milner - 1985  ACM   DBLP
340   Uniform proofs as a foundation for logic programming (context) - Miller, Nadathur et al. - 1991  ACM   DBLP
257   Logic programming in a fragment of intuitionistic linear log.. - Hodas, Miller - 1994  ACM   DBLP
257   Logic programming in a fragment of intuitionistic linear log.. - Hodas, Miller - 1991
223   Linear objects: Logical processes with built-in inheritance - Andreoli, Pareschi - 1991
223   Linear objects: Logical processes with built-in inheritance - Andreoli, Pareschi - 1990  ACM
215   Theoretical Computer Science (context) - Girard - 1987  ACM
149   A logical analysis of modules in logic programming (context) - Miller - 1989  ACM   DBLP
146   Investigations into logical deductions (context) - Gentzen - 1969
144   Contributions to the theory of logic programming (context) - Apt, van Emden - 1982
116   Natural Deduction (context) - Prawitz - 1965
112   The Art of Prolog: Advanced Programming Techniques (context) - Sterling, Shapiro - 1986  ACM
82   Logic for Computer Science: Foundations of Automatic Theorem.. (context) - Gallier - 1986  ACM
63   Logic Programming in Intuitionistic Linear Logic: Theory (context) - Hodas - 1994
56   Modularity in logic programming - Bugliesi, Lamma et al. - 1994  ACM   DBLP
53   Lexical scoping as universal quantification - Miller - 1989
53   Implementing tactics and tacticals in a higher-order logic p.. - Felty - 1993
50   Higher-order Horn clauses - Nadathur, Miller - 1990  ACM   DBLP
49   ACL - a concurrent linear logic programming paradigm - Kobayashi, Yonezawa - 1993
46   Specifying theorem provers in a higher-order logic programmi.. (context) - Felty, Miller - 1988
38   Proof Theoretic Approach to Specification Languages - Chirimar - 1995  ACM
38   The uniform proof-theoretic foundation of linear logic progr.. - Harland, Pym - 1991
30   Objects in forum - Delzanno, Martelli - 1995  DBLP
29   Proofs and Types (context) - Girard, Taylor et al. - 1989  ACM
28   Specifying filler-gap dependency parsers in a linear-logic p.. - Hodas - 1992  DBLP
27   Abstractions in logic programming (context) - Miller - 1990
26   Extending definite clause grammars with scoping constructs (context) - Pareschi, Miller - 1990  ACM   DBLP
20   Logic programming with focusing proofs in linear logic (context) - Andreoli - 1992
20   Representing objects in a logic programming language with sc.. - Hodas, Miller - 1990  ACM
19   Metamathematical Investigation of Intuitionistic Arithmetic .. (context) - Troelstra - 1973
17   Concerning formulas of the types (context) - Harrop - 1960
17   Resolution in fragments of classical linear logic (context) - Harland, Pym - 1992
16   A linear logic calculus of objects - Bugliesi, Delzanno et al. - 1996
16   Forum: A multiple-conclusion specification language (context) - Miller - 1996
15   Intuitionistic Logic Model Theory and Forcing (context) - Fitting - 1969
11   Abstract Logic Programming in Linear Logic---Independence an.. (context) - Guglielmi - 1996
10   Concurrency and plan generation in a logic programming langu.. - Guglielmi - 1994  ACM   DBLP
9   Computational Logic: The Newsletter of the European Network .. (context) - Miller, of et al. - 1995
5   A linear logic framework (context) - Cervesato, Pfenning - 1996
5   A linear logic view of Gamma style computations as proof sea.. - Bruscoli, Guglielmi - 1996
5   Sequentiality by linear implication and universal quantifica.. - Guglielmi - 1995
4   Permutabilities of inferences in Gentzen's calculi LK and LJ (context) - Kleene - 1952
2   Proof theory as an alternative to model theory (context) - Miller - 1991

Documents on the same site (ftp://ftp.cis.upenn.edu/pub/papers/miller/recentpapers.html):   More
Some Uses of Higher-Order Logic in Computational Linguistics - Miller, Nadathur (1986)   (Correct)
Foundational Aspects of Syntax - Miller, Palamidessi (1999)   (Correct)
Linear Logic As A Framework For Specifying Sequent Calculus - Miller, PIMENTEL   (Correct)

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