| A.J. Field and P.G. Harrison. Functional Programming. Addison Wesley, 1988. |
....Dissertation, Eindhoven Technical University, Eindhoven, The Netherlands, 1989 [10] A. J. T. Davie An Introduction to Functional Programming Systems Using Haskell, Cambridge University Press, 1992 [7] Anthony J. Field and Peter G. Harrison. Functional Programming, Addison Wesley, 1988 [8]. This book uses the eager functional language Hope. J. Hughes. Why Functional Programming Matters, The Computer Journal, Vol. 32, No. 2, pages 98 107, 1989 [14] Although the Bird and Wadler textbook is excellent, I decided to supplement the book with these notes for several reasons: ....
....is, each application of this path function should return a list of integers instead of a single integer. The list returned should consist of the arguments of the successive calls to the hailstone function necessary to compute the result. For example, the hailstone 3 example above should return [3,10,5,16,8,4,2,1]. 7. Number base conversion. a) Write a Gofer function natToBin that takes a natural number and returns its binary representation as a list of 0 s and 1 s with the most significant digit at the head. For example, natToBin 23 returns [1,0,1,1,1] Note: Standard prelude function rem returns the ....
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A. J. Field and P. G. Harrison. Functional Programming. Addison Wesley, Reading, Massachusetts, 1988.
....signatures. When reachability is successful, the tool outputs a visual representation (in the form of an Xfig file) of the stripe of trajectories that go from the initial point (edge, polygon) to the final one. SPeeDI was implemented in Haskell [89] a general purpose, lazy, functional language [37, 70]. Despite the fact that functional languages, especially lazy ones, have a rather bad reputation regarding performance (see for example [100] for a report on the experiences of writing verification tools in functional languages) we found that the performance we obtained was more than adequate for ....
A.J. Field and P.G. Harrison. Functional Programming. Addison Wesley, Reading, Massachusetts, 1988.
....predicates constraints their syntactical extension to an underlying system can be described by parameterized, typed signatures. We built a type inference system for CHR programs, constructing such signatures. The algorithm is shown in figure 1, it is derived from Milner s algorithm W described in [4]. The system only handles CHRs and PROLOG clauses, without any additional program code, necessary for the compilation of CHR in programming systems like ECL . The output of the program is a typed, parameterized signature as the one shown in example 1. Every symbol occurring in a head of a CHR ....
A.J. Field and P.G. Harrison. Functional Programming. Addison-Wesley, 1988.
....of old with new. New bindings can be added with Phi and removed with Psi. Substitutions R, S and T may be composed RST , indicating that they are to be applied in order from right to left i.e. apply all from T , then apply all from S, then apply all from R. Figure 4, after Field and Harrison [13], defines the W algorithm on the abstract syntax of Exp 1 , omitting cases where inference may fail, and writing fi i for new type variables. We write I for the identity substitution which has no effect on type expressions. An identifier s type is inferred from the assumption environment. Any ....
....type having been modified by the substitution set from the preceding unification. The type for the whole function is then the type for the last case to be so treated. Each case is checked left to right and the whole definition is checked top to bottom. For further details see Field and Harrison [13]. In the following account, pattern matching function definitions defined using the SML fun form are treated as a special case to facilitate 2 dimensional analysis. When typing such a function, fun x p 11 : p 1n = e 1 x p 21 : p 2n = e 2 : x pm1 : pmn = e m the UAE algorithm ....
Field, A. J. and Harrison, P.G.,. (1988) Functional Programming. Addison-Wesley, Wokingham.
....to use a minimal subset of SML. Because SML uses mathematical syntax and notation, students can start writing functions very quickly, and its syntax and semantics reinforce many of the mathematical concepts covered in Discrete Structures. Since SML is an interactive functional programming language [6, 8], students can interact with functions without writing full programs, avoiding the need to explain the edit compile execute cycle. SML s type safety and completeness rules help catch many errors during the function de nition stage, simplifying debugging. Most importantly, writing SML functions ....
A. J. Field and P. G. Harrison. Functional Programming. Addison-Wesley, 1988.
.... structure and the module concept of Tr are similar to those of the languages of the Modula family (Modula 2 [12] Oberon [26] Modula 2 [23] Modula 3 [22] and Add [11] Regarding its semantics, Tr is more closely related to the polymorphic functional languages of the ML language family [5, 6, 19, 8, 10]. The semantic concepts of Tr are derived from the language F [7] a widely accepted formal basis for the study of modern type systems. Like G [13] Tr is intended for apphcation programming and for system program ming tasks. By virtue of its polymorphic type system TL can also be utihzed as a ....
A.J. Field and P.G. Harrison. Functional Programming. Addison-Wesley Publishing Company, 1988.
.... correspondence in the case of Intuitionistic Logic is that the formalism on the computational side is immediately recognisable as an attractive programming paradigm, which has already been extensively developed and enthusiastically advocated by a significant community of software practitioners [Tur90, BW88, FH88, PJ87]. What has been lacking to date from the development of Linear Logic is a comparably attractive computational interpretation. Such an interpretation would have two main ingredients: ffl An interpretation of proofs as programs, i.e. well formed expressions in some programming notation. ffl An ....
.... structure on the input The most familiar instance of this latter pattern is the conditional, which is generalized to the case statement in typed calculus; more generally yet, destructors correspond to pattern matching, which has become an important feature of functional programming languages [BW88, FH88, Tur90]. For function types, the destructor is application, which decomposes a function into its graph. Term Assignment for Sequent Calculus We now show how terms can be assigned to proofs in the Sequent Calculus. The terms being assigned and the form of the sequents are of course exactly the same as ....
A. J. Field and P. G. Harrison. Functional Programming. Addison Wesley, 1988.
....kind of mathematical expression, using more or less familiar algebraic laws. This provides a conceptual framework for programming which is simple, concise, flexible and powerful. For an introduction to functional programming, see [3] A textbook on the implementation of functional languages is [6]. Lists are finite sequences of values of the same type. We use the notation [ff] to describe the type of lists whose elements have type ff. Lists will be denoted using square brackets; for example [1; 2; 1] is a list of three numbers. The notation used is adopted from [2] In this chapter, ....
A.J. Field and P.G. Harrison. Functional Programming. AddisonWesley, 1988.
....) A exp : oe=ff] Figure 1: Type rules for simple language These are read as: 2 is an integer; multiplies two integers to return an integer. Note that we treat binary operators as Curried functions to simplify presentation. The polymorphic type rules in Figure 1 are after Field and Harrison[6]. For V AR, if the assumptions A include the association of identifier ident with type , then we may infer that ident has type , i.e. we may look up an identifier in a set of assumptions to find the associated type. For ABS, with assumptions A augmented with the association of identifier ....
Field, A.J. and Harrison, P.G. Functional Programming. AddisonWesley, 1988.
.... debate on the OBJECTs vs FUNCTIONs approaches, but to use useful concepts of the functional approach in the analysis and development of distributed architectures: a functional shift for object oriented programming, merging, whenever useful, functional and object oriented paradigms (see also [3] [4] and [13] The aim of this paper, in the above described scenario, is thus to show an effort in the direction of partially fills a gap between functional and object oriented paradigms and to clarify some key points in distributed object based architectures. 1.2. Motivations Let us focus on the ....
A. Field and P. Harrison. Functional Programming. Addison-Wesley, New-York, first edition, 1988.
....conditional expressions, infix operators and sections (e.g. 1) is the unit addition operator) This font is used for program identifiers and this font is used for syntactic keywords. Strings, integers and booleans are builtin values. Readers unfamiliar with functional languages are directed to [14]. The combinators Y, I and K are builtin and have their usual meanings. Lists are builtin where [ is the empty list and : is the list constructor. map is the list mapping operator. lh builds list homomorphisms from an associative binary operator, a unary mapping and a base value. Locations are ....
Field, A. and Harrison, P. 1988 Functional Programming. Addison-Wesley.
....defined in the paper. Finally, section 8 analyses the work, discusses related work and outlines future research. The paper aims to be self contained with respect to the necessary category theory. Readers are directed to [Pri97] for an overview of graphical objectoriented design notations and to [Fie88] for an overview of notation and functional programming. 2 Object Oriented Design Features Object oriented designs, as expressed using a typical design notation such as UML, consist of a number of different models. Each model is used to express a different feature of the required system. ....
Field, A. J. & Harrison P. G.: Functional programming. Addison-Wesley, International Computer Science Series, 1988.
....multi processing facilities of Java. 1 Introduction EBG [Cla99a] is a higher order lazy functional programming language that compiles to the Java Virtual Machine [Ven98] EBG aims to provide all of the advantages of FP including pattern matching, first class functions and automatic type checking [Fie89], in addition to the advantages of Java [Arn98] including portability, multi processing, networking and graphical user interfaces. This paper describes the design and implementation of agents in EBG. Agents provide an EBG level interface to the multi processing facilities of Java and are a step ....
Field, A. J. & Harrison, P. G. (1989): Functional Programming. Addison-Wesley Publishing Company.
.... will not be given a precise semantics, but is intended to hold no surprises for the reader familiar with the class of programming languages including Haskell [8] and that described in [2] Briefly, the following features are assumed to be part of the language, the reader is directed to [12] and [6] for more details. An expression is either an identifier, a constant, an (infix) application, a function, an if expression, a let expression, a where expression, a case expression, a tuple or a sequence. Both let and where expressions may define (curried) functions by introducing their ....
Field, A. J. & Harrison, P. G. (1988) Functional Programming Addison Wesley.
....defined in the paper. Finally, section 8 analyses the work, discusses related work and outlines future research. The paper aims to be self contained with respect to the necessary category theory. Readers are directed to [Pri97] for an overview of graphical objectoriented design notations and to [Fie88] for an overview of notation and functional programming. 2 Object Oriented Design Features Object oriented designs, as expressed using a typical design notation such as UML, consist of a number of different models. Each model is used to express a different feature of the required system. ....
Field, A. J. & Harrison P. G.: Functional programming. Addison-Wesley, International Computer Science Series, 1988. 38
....The syntax of the language is divided into two: the kernel syntax which is given a semantics using a state transition system based on the SECD machine [25] and the sugared syntax which is given a semantics by translating into the kernel. For more information about functional languages see [16] and [2] The sugared syntax is given below: T : let D D : I = E j F F : I P = E j meth I P = E j F jF P : I j j (P; P ) j KP j N j S E : I j N j S j P :E j EE j EOE j if E then E else E j (E; E) j (E) j E; E [E; E] j E where D j let D in ....
Field, A. J. & Harrison P. G. Functional Programming. Addison Wesley International Computer Science Series. (1988)
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A.J. Field and P.G. Harrison. Functional Programming. Addison Wesley, 1988.
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A. Field and P. Harrison. Functional Programming. Addison-Wesley, 1988. 20
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A.J. Field and P.G. Harrison. Functional Programming. Addison Wesley, Reading, Massachusetts, 1988.
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Field, A.J., Harrison, P.G.: \Functional Programming."; Addison-Wesley, 1988
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Anthony Field and Peter Harrison. Functional Programming. AddisonWesley, 1988.
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A. J. Field and P. G. Harrison, Functional Programming, Addison-Wesley Publishing Company, 1988.
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A.J. Field and P.G. Harrison. Functional Programming. Addison-Wesley, 1988.
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A. J. Field and P. G. Harrison. Functional Programming . Addison-Wesley, 1988.
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Field A. J. & Harrison P. G. (1988) Functional Programming. AddisonWesley Publishing Company.
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