Introduction to Functional Programming
... lambda calculus. It is widely agreed that languages such as Haskell and Miranda are purely functional, while SML and Scheme are not. However, there are some small differences of opinion about the precise technical motivation for this distinction. Scheme and Standard ML are predominantly functional ...
... lambda calculus. It is widely agreed that languages such as Haskell and Miranda are purely functional, while SML and Scheme are not. However, there are some small differences of opinion about the precise technical motivation for this distinction. Scheme and Standard ML are predominantly functional ...
Programming with Miranda
... Benefits of the functional programming style Functional languages are an example of the declarative style of programming, whereby a program gives a description (or “declaration”) of a problem to be solved together with various relationships that hold for it. It is the responsibility of the language ...
... Benefits of the functional programming style Functional languages are an example of the declarative style of programming, whereby a program gives a description (or “declaration”) of a problem to be solved together with various relationships that hold for it. It is the responsibility of the language ...
User`s Functions in Standard Prolog
... (atoms and numbers), variables, and subterms introduced (after compilation4 ) by variable instantiation are always data terms. This later means that an evaluation step “is only performed at a (compound) subterm which is not part of a substitution (introduced by previous unification operations), but ...
... (atoms and numbers), variables, and subterms introduced (after compilation4 ) by variable instantiation are always data terms. This later means that an evaluation step “is only performed at a (compound) subterm which is not part of a substitution (introduced by previous unification operations), but ...
Coding a Lisp Interpreter in Shen: a Case Study
... comparable to the vague intuitive notion of computability that existed prior to Turing's [23] definition of computability in 1936. We cannot prove formally that Turing's account of computability meets our intuitive concept because formal proof begins only when our intuitions have been given shape. H ...
... comparable to the vague intuitive notion of computability that existed prior to Turing's [23] definition of computability in 1936. We cannot prove formally that Turing's account of computability meets our intuitive concept because formal proof begins only when our intuitions have been given shape. H ...
A fully abstract semantics for a higher
... with morphisms and fi j ; f jk fik . A cocone for such an ωfi j : Xi X j when i j such that f ii diagram is an object X with morphisms f i : Xi X such that f i j ; f j fi . A colimit is a cocone fi : Xi X such that for any other cocone f i : Xi X there is a unique f : X X su ...
... with morphisms and fi j ; f jk fik . A cocone for such an ωfi j : Xi X j when i j such that f ii diagram is an object X with morphisms f i : Xi X such that f i j ; f j fi . A colimit is a cocone fi : Xi X such that for any other cocone f i : Xi X there is a unique f : X X su ...
Recursion
... The term has a variety of meanings specific to a variety of disciplines ranging from linguistics to logic. The most common application of recursion is in mathematics and computer science, in which it refers to a method of defining functions in which the function being defined is applied within its o ...
... The term has a variety of meanings specific to a variety of disciplines ranging from linguistics to logic. The most common application of recursion is in mathematics and computer science, in which it refers to a method of defining functions in which the function being defined is applied within its o ...
View raw file - aaa
... What happens if we apply it to itself? ω ω = (λ x . ( x x )) ω => ω ω => ω ω => ... Evaluation never terminates! We say (ω ω) doesn’t have a normal form. To solve this problem, we introduce types. ...
... What happens if we apply it to itself? ω ω = (λ x . ( x x )) ω => ω ω => ω ω => ... Evaluation never terminates! We say (ω ω) doesn’t have a normal form. To solve this problem, we introduce types. ...
C# is a functional programming language
... This talk: is it serious competition for ML and Haskell? ◦ (Note: Java 5 has many but not all of the above features) ...
... This talk: is it serious competition for ML and Haskell? ◦ (Note: Java 5 has many but not all of the above features) ...
Lecture Notes
... This course is about computing. The notion of computing is much more fundamental than the notion of a computer, because computing can be done even without one. In fact, we have been computing ever since we entered primary school, mainly using pencil and paper. Since then, we have been adding, subtra ...
... This course is about computing. The notion of computing is much more fundamental than the notion of a computer, because computing can be done even without one. In fact, we have been computing ever since we entered primary school, mainly using pencil and paper. Since then, we have been adding, subtra ...
Programming Language Theory and its Implementation
... Good introductions to the recent developments in verication theory are the books by Gries 26] and Backhouse 3]. The -calculus is a theory of higher-order functions, i.e. functions that take functions as arguments or return functions as results. It has inspired the design of functional programming ...
... Good introductions to the recent developments in verication theory are the books by Gries 26] and Backhouse 3]. The -calculus is a theory of higher-order functions, i.e. functions that take functions as arguments or return functions as results. It has inspired the design of functional programming ...
Rational Exponential Expressions and a Conjecture Concerning π
... function.This identitycan be saved if we definethe logarithmfunctionover a cut plane (for example, by restricting0 in (2) to the interval -7 r<0 <7r), but then (1) is lost. Surprisingly,it is not even necessaryto introducecomplexnumbersor multivalued functionsin order to get into insurmountablediffi ...
... function.This identitycan be saved if we definethe logarithmfunctionover a cut plane (for example, by restricting0 in (2) to the interval -7 r<0 <7r), but then (1) is lost. Surprisingly,it is not even necessaryto introducecomplexnumbersor multivalued functionsin order to get into insurmountablediffi ...
Types and Programming Languages
... of x:T.e), and using = instead of is in function definitions, we get a BFL. BFL looks very much like a small subset of Standard ML. Multi-argument functions must be curried. An implementation of a typechecker for BFL can be found on the course web page, together with a commentary. ...
... of x:T.e), and using = instead of is in function definitions, we get a BFL. BFL looks very much like a small subset of Standard ML. Multi-argument functions must be curried. An implementation of a typechecker for BFL can be found on the course web page, together with a commentary. ...
Functional programming languages - Part I - Gallium
... Elementary reductions can be chained to describe how a term evaluates: Termination: a → a1 → a2 → . . . → v The value v is the result of evaluating a. Divergence: a → a1 → a2 → . . . → an → . . . The sequence of reductions is infinite. Error: a → a1 → a2 → . . . → an 6→ when an is not a value but do ...
... Elementary reductions can be chained to describe how a term evaluates: Termination: a → a1 → a2 → . . . → v The value v is the result of evaluating a. Divergence: a → a1 → a2 → . . . → an → . . . The sequence of reductions is infinite. Error: a → a1 → a2 → . . . → an 6→ when an is not a value but do ...
Pdf - Text of NPTEL IIT Video Lectures
... And choose a interval then, there are; obviously, there are only a finite only a finite numbers of rational finite only finite number of rationals finite number of rationals with denominator denominator less then n naught. Because, they obviously, when this denominator less then n naught, it will gr ...
... And choose a interval then, there are; obviously, there are only a finite only a finite numbers of rational finite only finite number of rationals finite number of rationals with denominator denominator less then n naught. Because, they obviously, when this denominator less then n naught, it will gr ...
