TILC: The Interactive Lambda-Calculus Tracer1
... on teaching and practicing with lambda-calculus but applied to natural language semantics. Another graphical web-based tool is the lambda-animator [5]. This application goes one step further than ours because it deals with more advanced features as: graph reduction with sharings, laziness, δ-reducti ...
... on teaching and practicing with lambda-calculus but applied to natural language semantics. Another graphical web-based tool is the lambda-animator [5]. This application goes one step further than ours because it deals with more advanced features as: graph reduction with sharings, laziness, δ-reducti ...
Ch. 15
... x is called a bound variable • Lambda expressions can be applied e.g., ((LAMBDA (x) (* x x)) 7) ...
... x is called a bound variable • Lambda expressions can be applied e.g., ((LAMBDA (x) (* x x)) 7) ...
Functional Programming, an introduction
... sum function this was 0. It's the value which is returned for the empty list. • There's a bit of new syntax here. By enclosing a function of two parameters like so `func` we can actually make that function an infix operator (like + and *). The reverse is also possible, to transform an infix operator ...
... sum function this was 0. It's the value which is returned for the empty list. • There's a bit of new syntax here. By enclosing a function of two parameters like so `func` we can actually make that function an infix operator (like + and *). The reverse is also possible, to transform an infix operator ...
Variable Scoping Rules in Erlang
... max([], M) -> M; max([H|T],M) -> S = size(H), if S>M -> N=S; not S>M -> N=M end, max(T, N). ...
... max([], M) -> M; max([H|T],M) -> S = size(H), if S>M -> N=S; not S>M -> N=M end, max(T, N). ...
3. Functional Programming
... programming language design. Lisp is a language that unifies data and programs. Functions are represented as lists that resemble lambda expressions and are then interpreted or compiled. APL is a language for manipulating arrays and arrays of arrays. Programs are built up of functional operators appl ...
... programming language design. Lisp is a language that unifies data and programs. Functions are represented as lists that resemble lambda expressions and are then interpreted or compiled. APL is a language for manipulating arrays and arrays of arrays. Programs are built up of functional operators appl ...
slides
... – Taken one function as an argument to another function – Processed a number or a list But first-class functions are useful anywhere for any kind of data – Can pass several functions as arguments – Can put functions in data structures (tuples, lists, etc.) – Can return functions as results – Can wri ...
... – Taken one function as an argument to another function – Processed a number or a list But first-class functions are useful anywhere for any kind of data – Can pass several functions as arguments – Can put functions in data structures (tuples, lists, etc.) – Can return functions as results – Can wri ...
ppt - Dave Reed
... many free Scheme interpreters/environments exist Dr. Scheme is an development environment developed at Rice University contains an integrated editor, syntax checker, debugger, interpreter Windows, Mac, and UNIX versions exist can download a personal copy from ...
... many free Scheme interpreters/environments exist Dr. Scheme is an development environment developed at Rice University contains an integrated editor, syntax checker, debugger, interpreter Windows, Mac, and UNIX versions exist can download a personal copy from ...
Here
... and add to R-value of next stack element (L-value of 3) and place Lvalue of result on stack stack L-value of 5 * - generate code to take R-value of top stack element (L-value of 5) and multiply to R-value of next stack element (L-value of 7) and place L-value of result on stack + - generate code to ...
... and add to R-value of next stack element (L-value of 3) and place Lvalue of result on stack stack L-value of 5 * - generate code to take R-value of top stack element (L-value of 5) and multiply to R-value of next stack element (L-value of 7) and place L-value of result on stack + - generate code to ...
Chapter 2
... Haskell is that there are a lot of functions defined for accessing and manipulation of lists as well as defining lists. To represent a sequence of elements as list one has to separate each element in a list by a comma and enclose the entire sequence with square brackets. For example [12, 4, 56]. In ...
... Haskell is that there are a lot of functions defined for accessing and manipulation of lists as well as defining lists. To represent a sequence of elements as list one has to separate each element in a list by a comma and enclose the entire sequence with square brackets. For example [12, 4, 56]. In ...
+ + 1
... function application If M and N are λ-terms, so too is M N , which represents the application of M to N. (All λ-terms can be considered functions.) ...
... function application If M and N are λ-terms, so too is M N , which represents the application of M to N. (All λ-terms can be considered functions.) ...
Comp 411 Principles of Programming Languages Lecture 7 Meta-interpreters
... – The defect is that the output of an actual interpreter is restricted to values that can be characterized syntactically. (How do you output a function?) – On the other hand, interpreters naturally introduce a simple form of functional abstraction. A recursive interpreter accepts an extra input, an ...
... – The defect is that the output of an actual interpreter is restricted to values that can be characterized syntactically. (How do you output a function?) – On the other hand, interpreters naturally introduce a simple form of functional abstraction. A recursive interpreter accepts an extra input, an ...
Lambda Calculus Background, λ calculus Models of computation
... otherwise, where z (new name) is not free in E or E' ...
... otherwise, where z (new name) is not free in E or E' ...
LISP
... 10. The representation of LISP programs as LISP data that can be manipulated by object programs. This has prevented the separation between system programmers and application programmers. Everyone can “improve” his LISP, and many of these improvements have developed into “improvements” to the languag ...
... 10. The representation of LISP programs as LISP data that can be manipulated by object programs. This has prevented the separation between system programmers and application programmers. Everyone can “improve” his LISP, and many of these improvements have developed into “improvements” to the languag ...
Chapter 15 slides - Erica Heitman-Ford
... – LISP implementations have a front end called the reader that transforms LISP into a code representation. Then macro calls are expanded into the code representation. – A reader macro is a special kind of macro that is expanded during the reader phase – A reader macro is a definition of a single cha ...
... – LISP implementations have a front end called the reader that transforms LISP into a code representation. Then macro calls are expanded into the code representation. – A reader macro is a special kind of macro that is expanded during the reader phase – A reader macro is a definition of a single cha ...
pl10ch15
... – LISP implementations have a front end called the reader that transforms LISP into a code representation. Then macro calls are expanded into the code representation. – A reader macro is a special kind of macro that is expanded during the reader phase – A reader macro is a definition of a single cha ...
... – LISP implementations have a front end called the reader that transforms LISP into a code representation. Then macro calls are expanded into the code representation. – A reader macro is a special kind of macro that is expanded during the reader phase – A reader macro is a definition of a single cha ...
review of haskell
... Lambda expressions can be used to give a formal meaning to functions defined using currying. For example: add x y = x+y ...
... Lambda expressions can be used to give a formal meaning to functions defined using currying. For example: add x y = x+y ...
Chapter 15 - McMaster Computing and Software
... • A table called the evaluation environment stores the names of all identifiers in a p program, g along g with their types (like a run-time symbol table) • Function declaration form: fun name (formal parameters) = expression; e.g., fun cube(x : int) = x * x * x; - The Th type t could ld be b attache ...
... • A table called the evaluation environment stores the names of all identifiers in a p program, g along g with their types (like a run-time symbol table) • Function declaration form: fun name (formal parameters) = expression; e.g., fun cube(x : int) = x * x * x; - The Th type t could ld be b attache ...
Chapter 1 - KSU Web Home
... A language is strict if it requires all actual parameters to be fully evaluated A language is nonstrict if it does not have the strict requirement Nonstrict languages are more efficient and allow some interesting capabilities – infinite lists Lazy evaluation - Only compute those values that are nece ...
... A language is strict if it requires all actual parameters to be fully evaluated A language is nonstrict if it does not have the strict requirement Nonstrict languages are more efficient and allow some interesting capabilities – infinite lists Lazy evaluation - Only compute those values that are nece ...
Functional programming
... Cons: Not everything can be easily or effectively expressed by stateless (pure) functions. Cons: programmers prefer imperative programming constructs such as statement sequencing, while functional languages emphasize function composition ...
... Cons: Not everything can be easily or effectively expressed by stateless (pure) functions. Cons: programmers prefer imperative programming constructs such as statement sequencing, while functional languages emphasize function composition ...
Appendix B
... nonlocal references are resolved at the point of function definition. Static scoping is implemented by associating a closure (instruction pointer and environment pointer) with each function as it is defined. The run-time execution stack maintains static links for nonlocal references. Top-level defin ...
... nonlocal references are resolved at the point of function definition. Static scoping is implemented by associating a closure (instruction pointer and environment pointer) with each function as it is defined. The run-time execution stack maintains static links for nonlocal references. Top-level defin ...
Untyped Lambda Calculus - Programming Systems Lab
... s n t for some n ≥ 0. Formally, s ∗ t is the reflexive and transitive closure of s t. We have SKK 2 λx.Kx(Kx) 2 I. Fact 9 If s t, then s ∗ t and s ≡ t. Moreover, if s ∗ t, then s ≡ t. Fact 10 s ≡ t is the least equivalence relation containing s t. A rigorous proof of Fact 10 requires wor ...
... s n t for some n ≥ 0. Formally, s ∗ t is the reflexive and transitive closure of s t. We have SKK 2 λx.Kx(Kx) 2 I. Fact 9 If s t, then s ∗ t and s ≡ t. Moreover, if s ∗ t, then s ≡ t. Fact 10 s ≡ t is the least equivalence relation containing s t. A rigorous proof of Fact 10 requires wor ...
Concepts of Programming Languages A Brief Intro to Programming
... ‣ is a polymorphic, statically typed, lazy, purely functional language ...
... ‣ is a polymorphic, statically typed, lazy, purely functional language ...
Haskell review
... • lack of explicit evaluation order (in some languages) offers possibility of parallel evaluation (e.g. MultiLisp) • lack of side effects and explicit evaluation order simplifies some things for a compiler (provided you don't blow it in other ways) • programs are often surprisingly short • language ...
... • lack of explicit evaluation order (in some languages) offers possibility of parallel evaluation (e.g. MultiLisp) • lack of side effects and explicit evaluation order simplifies some things for a compiler (provided you don't blow it in other ways) • programs are often surprisingly short • language ...
Lecture 2 - cs.Virginia - University of Virginia
... Technical Questions • Used higher-order procedures: – No: 4 A little: 3 Yes: 3 ...
... Technical Questions • Used higher-order procedures: – No: 4 A little: 3 Yes: 3 ...