Programming with Coq
... match x with 0 => 1 | S p => x * fact p end This simple schema only for natural numbers ! More complex schemas for other datatypes. ...
... match x with 0 => 1 | S p => x * fact p end This simple schema only for natural numbers ! More complex schemas for other datatypes. ...
Pragmatic Functional Programming in Dyalog
... Major Language Extensions Since IBM APL2 (1984) • 1995: Control structures (if/then/else) adopted by several vendors including Dyalog. • 1996: Optional lexical scope and lambda expressions in APL (“dfns” – Dyalog APL). • 2006: Object orientation (Dyalog, MicroAPL, VisualAPL). • 2014: Point-free or ...
... Major Language Extensions Since IBM APL2 (1984) • 1995: Control structures (if/then/else) adopted by several vendors including Dyalog. • 1996: Optional lexical scope and lambda expressions in APL (“dfns” – Dyalog APL). • 2006: Object orientation (Dyalog, MicroAPL, VisualAPL). • 2014: Point-free or ...
Temporal Logic with “Until”, Functional Reactive Programming with
... The function h denotes a time-varying value that does not persist forever, but vanishs immediately before t0 . We call this time-varying value the continuous part of p. The pair (t0 , z) denotes an event that immediately follows the continuous part. We call this event the terminal event of p. The va ...
... The function h denotes a time-varying value that does not persist forever, but vanishs immediately before t0 . We call this time-varying value the continuous part of p. The pair (t0 , z) denotes an event that immediately follows the continuous part. We call this event the terminal event of p. The va ...
An Operational Semantics for Declarative Multi
... A subtle question is the meaning of such definitions if function calls are passed as parameters, e.g., the set of possible values of “double (choose 1 2)” w.r.t. the definition “double x = x+x.” Similarly to [10], Curry follows the “call-time choice” semantics where all descendants of a subterm are ...
... A subtle question is the meaning of such definitions if function calls are passed as parameters, e.g., the set of possible values of “double (choose 1 2)” w.r.t. the definition “double x = x+x.” Similarly to [10], Curry follows the “call-time choice” semantics where all descendants of a subterm are ...
Types and Programming Languages
... of fix expressions. There’s a small issue: let allows us to define values as well as functions, but we don’t want to allow recursively-defined values (why not?) A convenient solution is to distinguish between value and function definitions by using the keywords val and fun. let fun f(x:int):int = bo ...
... of fix expressions. There’s a small issue: let allows us to define values as well as functions, but we don’t want to allow recursively-defined values (why not?) A convenient solution is to distinguish between value and function definitions by using the keywords val and fun. let fun f(x:int):int = bo ...
pptx
... The “else” branch may be missing Returns in any case > if d < 0.0 then printfn "yay!";; val it : unit = () What can this return? > let n = (if (d = 0.0) then 1) error FS0001: This expression was expected to have type ‘unit’ but here has type ‘int’ NPRG049— Programovací jazyky OCaml a F# ...
... The “else” branch may be missing Returns in any case > if d < 0.0 then printfn "yay!";; val it : unit = () What can this return? > let n = (if (d = 0.0) then 1) error FS0001: This expression was expected to have type ‘unit’ but here has type ‘int’ NPRG049— Programovací jazyky OCaml a F# ...
Fast Functional Lists, Hash-Lists, Deques and Variable
... functional random access lists based to give a lg N indexing cost yet still maintain constant head and tail times. Okasaki [1995] Similar concepts together with the new technique of recursive slow down give functional deques with constant insert and remove times. Kaplan and Tarjan [1995] In this pap ...
... functional random access lists based to give a lg N indexing cost yet still maintain constant head and tail times. Okasaki [1995] Similar concepts together with the new technique of recursive slow down give functional deques with constant insert and remove times. Kaplan and Tarjan [1995] In this pap ...
Chapter 15
... • A static-scoped functional language with syntax that is closer to Pascal than to LISP • Uses type declarations, but also does type inferencing to determine the types of undeclared variables (will see in Chapter 5) • It is strongly typed (whereas Scheme is essentially typeless) and has no type coer ...
... • A static-scoped functional language with syntax that is closer to Pascal than to LISP • Uses type declarations, but also does type inferencing to determine the types of undeclared variables (will see in Chapter 5) • It is strongly typed (whereas Scheme is essentially typeless) and has no type coer ...
The C++ language, STL
... program if they don't hold. But often you don't want the program to abort but rather to handle the error in some way. ...
... program if they don't hold. But often you don't want the program to abort but rather to handle the error in some way. ...
Slides
... by Bart Jacobs and Jan Rutten EATCS Bulletin 62 (1997) pp. 222-259 See link on papers page on class website ...
... by Bart Jacobs and Jan Rutten EATCS Bulletin 62 (1997) pp. 222-259 See link on papers page on class website ...
Class Notes 2b: Scheme Reference
... • car, cdr, cons are the primitive functions that ensure all the necessary access to lists. Three other primitives are predicates: functions that return #t or #f. ...
... • car, cdr, cons are the primitive functions that ensure all the necessary access to lists. Three other primitives are predicates: functions that return #t or #f. ...
A fully abstract semantics for a higher
... In Section 3 we present a λ-calculus with an explicit type constructor, and show (assuming the programs satisfy certain equivalences) that its models are precisely given by categorical structures: Programming construct Categorical equivalent Algebraic datatypes Categories with finite products Let-ex ...
... In Section 3 we present a λ-calculus with an explicit type constructor, and show (assuming the programs satisfy certain equivalences) that its models are precisely given by categorical structures: Programming construct Categorical equivalent Algebraic datatypes Categories with finite products Let-ex ...