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Abstract: This extended abstract contains some non-technical observations about the roles that logic can play in the specification of computational systems. In particular, computation-as-deduction, meta-programming, and higher-order abstract syntax are briefly discussed. 1 Two approaches to specifications In the specification of computational systems, logics are generally used in one of two approaches. In one approach, computations are mathematical structures, containing such items as nodes,... (Update)
Context of citations to this paper: More
...the state change. Dale Miller describes this as the paradigm of computation as deduction rather than that of computation as model [18]; however, it is probably more accurately described as computation as proof search (see [11] The second modification will be that...
.... a way that logic can be used to make statements about computation by encoding states and transitions directly using formulas and proof [Mil95] We believe it is possible to use Linear Logic to model a system involving dynamic agents [Del97] Thus, our specification environment...
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BibTeX entry: (Update)
Dale Miller, "Observations About Using Logic as a Specification Language ", GULP-PRODE'95 - Joint Conference on Declarative Programming, Marina di Vietri, Salerno, Italy, 11-14 September 1995. http://citeseer.ist.psu.edu/139090.html More
@misc{ miller95observations,
author = "D. Miller",
title = "Observations About Using Logic as a Specification Language",
text = "Dale Miller, Observations About Using Logic as a Specification Language
, GULP-PRODE'95 - Joint Conference on Declarative Programming, Marina di
Vietri, Salerno, Italy, 11-14 September 1995.",
year = "1995",
url = "citeseer.ist.psu.edu/139090.html" }
Citations (may not include all citations):434 A framework for defining logics - Harper, Honsell et al. - 1987
419 A formulation of the simple theory of types (context) - Church - 1940
340 Uniform proofs as a foundation for logic programming (context) - Miller, Nadathur et al. - 1991
257 Logic programming in a fragment of intuitionistic linear log.. - Hodas, Miller - 1994
251 A logic programming language with lambda-abstraction - Miller - 1991
223 Linear objects: Logical processes with built-in inheritance - Andreoli, Pareschi - 1991
215 Theoretical Computer Science (context) - Girard - 1987
194 Functions as processes (context) - Milner - 1990
172 Higher-order abstract syntax (context) - Pfenning, Elliott - 1988
126 Higher-order critical pairs (context) - Nipkow - 1991
121 Proving and applying program transformations expressed with .. (context) - Huet, Lang - 1978
81 A multiple-conclusion meta-logic - Miller - 1994
71 Elf: A language for logic definition and verified metaprogra.. - Pfenning - 1989
57 calculus semantics of object-oriented programming languages (context) - Walker - 1990
56 Unification and anti-unification in the Calculus of Construc.. - Pfenning - 1991
53 Implementing tactics and tacticals in a higher-order logic p.. - Felty - 1993
52 The lazy lambda calculus in a concurrency scenario - Sangiorgi - 1994
47 A logic programming approach to manipulating formulas and pr.. - Miller, Nadathur - 1987
39 Natural deduction as higher-order resolution - Paulson - 1986
38 Proof Theoretic Approach to Specification Languages - Chirimar - 1995
36 Functional unification of higher-order patterns (context) - Nipkow - 1993
35 Solving Higher-Order Equations: From Logic to Programming - Prehofer - 1995
19 On formally undecidable propositions of the principia mathem.. (context) - Godel - 1965
18 Extended natural semantics (context) - Hannan - 1993
18 Linear unification of higher-order patterns (context) - Qian - 1993
15 Higher-order unification with dependent types (context) - Elliott - 1989
12 calculus specification of Prolog (context) - Li, ss- - 1994
10 Search and Computation in General Logic (context) - Pym - 1990
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