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Introduction to Prolog Brian Paden. History. Creators: Alain Colmerauer & Phillipe Roussel University of Aix-Marseille 1972 Robert Kowalski University of Edinburgh Named by: Philippe Roussel programmation en logique First compiler: David H. D. Warren. More History.
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P-Phunck - Prolog Introduction to Prolog Brian Paden
P-Phunck - Prolog History • Creators: Alain Colmerauer & Phillipe Roussel • University of Aix-Marseille 1972 • Robert Kowalski • University of Edinburgh • Named by: Philippe Roussel • programmation en logique • First compiler: David H. D. Warren
P-Phunck - Prolog More History • 1984 – Began working on standard • 1987 – ISO Standard Group Formed • 1995 – ISO Standard published • Most current • New version expected “by early 2000”
P-Phunck - Prolog Predicate Logic • First order predicate calculus • Propositions • Atomic propositions & compound terms • Resolution • Inference rule • Horn clauses • Single atomic proposition on left side • Empty left side
P-Phunck - Prolog Data Types • Atom • Letters or numbers 'x', 'longConstant17', '“Var”' • Variable • Start with uppercase 'X', 'NotanAtom' • Anonymous variable - '_' • Fact • 'doesntKnow( “Prolog”, brian ).'
P-Phunck - Prolog Variables • Two states • Instantiated • Variable has a set value • Uninstantiated • Has not been assigned a value • Closed-world assumption • Only true if it can be proven
P-Phunck - Prolog Data Structures • Compound term • Functor and arguments • 'weird( prolog, yes ).' • Queries • '?- good( presentation, brian )' • Only returns 'yes' or 'no' • Conjunction • Multiply queries and facts
P-Phunck - Prolog Special Compound Terms • List • Head • First element in list • Tail • List containing everything else in list except the head • Last element is empty list - '[]' • '[]', '.' - '[a,[b,[c]]]' == 'a.b.c.[]' • String • Special list – all elements are atoms • '[“This”,is,a,string,in,”Prolog”]'
P-Phunck - Prolog More Lists • Special list operators • '[]' - Empty list • '[X|Y]' – X is head, Y is tail • '””' - convert list to list containing ascii values • Recursive search for element of list member(X,[X|_]). member(X,[_|Y]) :- member(X,Y). ?- member(c,[a,b,c,d,e,f]). yes
P-Phunck - Prolog Built in Operators • Compound construction • ',' - conjunction, ';' - disjunction • Comparison • 'X = Y' – equality, 'X \= 2' – inequality • 'X == Y' – strict equality, 'X \== 2' – strict inequality • 'X < Y', 'X =< Y', - less than, less than equal to • 'X > Y', 'X >= Y' – greater than, greater than equal to • Arithmetic • 'X + Y', 'X - Y', 'X * Y', 'X / Y', 'X mod Y'
P-Phunck - Prolog Arithmetic • Operators that stand out • '\' - not, '\=' - not equal • '=<' - less equal, '>=' - greater equal • Perform arithmetic • 'is' • ' Y = Y/X' – tests equality • 'Y is Y/X' – assigns numeric value to Y • Right hand side of 'is' must be algebraic
P-Phunck - Prolog Looping • No iteration, only recursion factorial(0,1). factorial(N,F) :- N>0, N1 is N-1, factorial(N1,F1), F is N * F1. ?- factorial(3,X). X=6
P-Phunck - Prolog I/O • Special file • 'user' • Output • 'tell(X).' - creates/opens file • 'telling(X).' - gets open file name • 'told' – closes file • Input • see, seeing, seen • Misc • 'tab(X)', 'nl'
P-Phunck - Prolog Backtracking • User query • Searches database for fact declaring it true • Matching fact (head rule) found • Mark place in database, move on to next goal • No matching fact found • Attempt to re-satisfy goal • Undo last change and try again • Cut • Shortcuts backtracking • '!' symbol
Backtracking in Action Database Result father(mary,george). father(john,george). father(sue,harry). father(george,edward). father(X) :- father(_,X). Y=george; Y=george; Y=harry; Y=edward; no Query ?- father(Y). P-Phunck - Prolog
P-Phunck - Prolog Lists and Backtracking reverse([],[]). reverse([Head|Tail],List) :- reverse(Tail,Result), append(Result,[Head],List). trace. ?- reverse([a,b,c],Q).
P-Phunck - Prolog Reverse Example (1) 1 Call: reverse([a,b,c],_6)? (2) 2 Call: reverse([b,c],_65636)? (3) 3 Call: reverse([c],_65646)? (4) 4 Call: reverse([],_65656)? (4) 4 Call: Exit: reverse([],[]) (5) 4 Call: append([],[c],_65646)? (5) 4 Exit: append([],[c],[c]) (3) 3 Exit: reverse([c],[c]) (6) 3 Call: append([c],[b],_65636)? (7) 4 Call: append([],[b],_25)? (7) 4 Exit: append([],[b],[b]) (6) 3 Exit: append([c],[b],[c,b]) (2) 2 Exit: reverse([b,c],[c,b) (8) 2 Call: append([c,b],[a],_6)? (9) 3 Call: append([b],[a],_32)? (10) 4 Call: append([],[a],_39)? (10) 4 Exit: append([],[a],[a]) (9) 3 Exit: append([b],[a],[b,a]) (8) 2 Exit: append([c,b],[a],[c,b,a]) (1) Exit: reverse([a,b,c],[c,b,a])
P-Phunck - Prolog How to Cut Database Result sum_to(1,1) :- !. sum_to(N,Res) :- N1 is N – 1, sum_to(N1,Res), Res is Res + N. X = 15; no Query ?- sum_to(5,X).
P-Phunck - Prolog Useful Built in Predicates • Conditional • 'true', 'fail' – Always their namesakes • 'atom(X)', 'integer(X)' – true if X is an atom or int • 'atomic(X)' – X is not a variable • 'asserta(X)' – adds clause X to start of database • 'assertz(X)' – adds clause to end of database • 'X =.. L' - Univ • X is variable • L is list where head is functor and tail is arguments
P-Phunck - Prolog Example: Binary Tree Implementation Usage lookup(H,w(H,G,_,__,G) :- !. lookup(H,w(H1,_,Before,_),G) :- aless(H,H1), lookup(H,Before,G). lookup(H,w(H1,_,_,After),G) :- not(aless(H,H1)), lookup(H,After,G). ?- lookup(key,X,582), lookup(val,X,356).
P-Phunck - Prolog Example: Quicksort partition([], _, [], []). partition([X|Xs], Pivot, Smalls, Bigs) :- ( X @< Pivot -> Smalls = [X|Rest], partition(Xs, Pivot, Rest, Bigs) ; Bigs = [X|Rest], partition(Xs, Pivot, Smalls, Rest) ). quicksort([]) --> []. quicksort([X|Xs]) --> { partition(Xs, X, Smaller, Bigger) }, quicksort(Smaller), [X], quicksort(Bigger).
P-Phunck - Prolog Example: Turing Machine turing(Tape0, Tape) :- perform(q0, [], Ls, Tape0, Rs), reverse(Ls, Ls1), append(Ls1, Rs, Tape). perform(qf, Ls, Ls, Rs, Rs) :- !. perform(Q0, Ls0, Ls, Rs0, Rs) :- symbol(Rs0, Sym, RsRest), once(rule(Q0, Sym, Q1, NewSym, Action)), action(Action, Ls0, Ls1, [NewSym|RsRest], Rs1), perform(Q1, Ls1, Ls, Rs1, Rs). symbol([], b, []). symbol([Sym|Rs], Sym, Rs). action(left, Ls0, Ls, Rs0, Rs) :- left(Ls0, Ls, Rs0, Rs). action(stay, Ls, Ls, Rs, Rs). action(right, Ls0, [Sym|Ls0], [Sym|Rs], Rs). left([], [], Rs0, [b|Rs0]). left([L|Ls], Ls, Rs, [L|Rs]).
P-Phunck - Prolog Compilers • ISO Compliant • GNU Prolog • http://www.gprolog.org/ • SWI-Prolig • http://www.swi-prolog.org/ • YAP • http://www.ncc.up.pt/yap/ • Visual Prolog (Turbo Prolog) • http://www.visual-prolog.com/
P-Phunck - Prolog Sources • Clocksin, W.F and Mellish, C.S. Programming in Prolog. Berlin. Springer-Verlag: 1984 • Sebesta, Robert W. Concepts of Programming Languages: Eighth Edition. 2007 • http://en.wikipedia.org/wiki/Prolog