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Answer Set Programming and ExtensionsUnit 4 – Applications and Tools
Thomas Eiter
Institut für Informationsysteme, TU Wien
VTSA Summer School 2016, Liège, August 29-September 2, 2016
Austrian Science Fund (FWF) grants P24090, P26471, P27730
1/32
ASP & Extensions / Unit 4 1. Introduction
Unit Outline
1. Introduction
2. ASP Competition Series
3. Applications: Overview
4. Application Development Tools
5. Selected Problems
T. Eiter / TU Wien VTSA 2016 08-09/2013 2/32
ASP & Extensions / Unit 4 1. Introduction
ASP Applications
There is a growing range of applications of ASP
For pervasive usage, software tools are needed (editors, debuggers,versioning tools, etc)
Need Application Programming Interfaces (APIs) to allow for ASP incommon software frameworks (Unit 3)
;ASP inside
• ASP is not a fully-fledged programming language!
• Use ASP modules for smaller tasks / capabilities transparentlyintegrated into a more complex system
For solver developments, need benchmarks (synthetic +applications), of varying complexity (P,NP,Σp
2 etc)
T. Eiter / TU Wien VTSA 2016 08-09/2013 3/32
ASP & Extensions / Unit 4 2. ASP Competition Series
ASP Competition Series
• since 2007, biannual (exception: 2014, Vienna Summer of Logic)• initial goals: benchmarks fair competition environment (open calls)• side effect: language standardization (cf. SAT/Dimacs*, ICAPS/PDDL*)• later: modeling and solve competitions (humans)• a variety of different benchmark classes and solving classes, many tracks
T. Eiter / TU Wien VTSA 2016 08-09/2013 4/32
ASP & Extensions / Unit 4 2. ASP Competition Series
ASP Competition Series /2
Latest competition: 2015• benchmark call focused on applications of practical impact and/or
difficult to solve encodings (non-tight),decision, optimization benchmarks
• benchmarks instances were classified according to their expectedhardness.
• “Marathon Track”: best performing systems are given more time forsolv- ing hard instances.
Winners• long term winner: clasp• winners 2015: ME-ASP (regular track), WASP (marathon track)
Details: [Calimeri et al., 2016b]http://www.sciencedirect.com/science/article/pii/
S0004370215001447
T. Eiter / TU Wien VTSA 2016 08-09/2013 5/32
ASP & Extensions / Unit 4 3. Applications: Overview
ASP Applications
information integrationconstraint satisfaction, configurationplanning, routing, schedulingdiagnosis, repairsecurity, verificationSemantic Webgames, puzzlessystems biology / biomedicineknowledge managementmusicology
. . .
Early report: http://www.kr.tuwien.ac.at/projects/WASP/report.html
Upcoming: AI Magazine article [Erdem et al., 2016]
Survey table: https://www.dropbox.com/s/pe261e4qi6bcyyh/aspAppTable.pdf?dl=0
T. Eiter / TU Wien VTSA 2016 08-09/2013 6/32
ASP & Extensions / Unit 4 3. Applications: Overview
Examples
USA-Advisor [Nogueira et al., 2001]
• decision support system to control the Space Shuttle during flight
• issue: problems with the oxygen transport (pipes and valves)
• failure scenario: also multiple system failures occur
Anton [Boenn et al., 2011] http://www.cs.bath.ac.uk/~mjb/anton/
• automatic system for the composition of Renaissance-style music.
• musical knowledge ≈ 500 ASP rules (melody, harmony, rhythm)
• can generate musical pieces, check pieces for violations.
Biological Network Repair [Kaminski et al., 2013]
• model nodes (substances, etc) in a large scale biological influencegraph, with roles (e.g. inhibitor, activator)
• repair inconsistencies (modify roles, add links between nodes, etc)
T. Eiter / TU Wien VTSA 2016 08-09/2013 7/32
ASP & Extensions / Unit 4 3. Applications: Overview
Verification and Security
Model checking• [Heljanko and Niemelä, 2003]• [Liu et al., 1998]
Verification of cryptographic/security protocols• [Delgrande et al., 2009]• [Aiello and Massacci, 2001]• [Armando et al., 2004]
Business processes verification• [Giordano et al., 2013]
Game theory and agents• [Vos and Vermeir, 2001], [Vos and Vermeir, 2004]
T. Eiter / TU Wien VTSA 2016 08-09/2013 8/32
ASP & Extensions / Unit 4 3. Applications: Overview
ASP in Industrial Applications
Software Engineering challenges
• powerful and expressive framework⇒ flexibility, readability,extensibility, and ease of maintenance
Executable specification language
• clarify and formalize the requirements with the customer much morequickly
low (implementation) costs
• cheaper compared to traditional imperative languages• use for (rapid) prototyping
Challenge: efficiency / scalability• e.g. magic set technique
more information: [Erdem et al., 2016]
T. Eiter / TU Wien VTSA 2016 08-09/2013 9/32
ASP & Extensions / Unit 4 3. Applications: Overview
Example: Workforce Managementassign(E,Sh,Sk) | nAssign(E,Sh,Sk) :-hasSkill(E,Sk), employee(E,_), shift(Sh,Day,Dur), not absent(Day,E),not excluded(Sh,E), neededSkill(Sh,Sk), workedHours(E,Wh), Wh+Dur<36.
:- shift(Sh,_,_), neededEmployee(Sh,Sk,EmpNum), #countE:assign(E,Sh,Sk)!=EmpNum.
:- assign(E,Sh,Sk1), assign(E,Sh,Sk2), Sk1!=Sk2.
:- wstats(E1,Sk,LastTime1), wstats(E2,Sk,LastTime2), LastTime1>LastTime2,assign(E1,Sh,Sk),not assign(E2,Sh,Sk).
:- workedHours(E1,Wh1), workedHours(E2,Wh2), threshold(Tr),Wh1+Tr<Wh2, assign(E1,Sh,Sk), not assign(E2,Sh,Sk).
Team Building at Gioia Tauro Seaport (N. Leone et al., Exeura s.r.l,company ICO BLG) [Ricca et al., 2012]• teams for unloading ships (nontrivial: skills, fair workload, laws).• kernel ASP part (simplified form): guess shift assignment, check constraints• user interface allows to modify manual teams & check constraints.• outlines cause for possible errors, suggests fixes (constraint relaxation)• ASP-based shift plans for 130 employees within some minutes
beneficial: declarative nature, executability eased refining & tuningproblem specs and ASP programs with the stakeholders
T. Eiter / TU Wien VTSA 2016 08-09/2013 10/32
ASP & Extensions / Unit 4 4. Application Development Tools 4.1 ASP Integrated Development Environments (IDEs)
ASP Integrated Development Environments (IDEs)
IDE: ease programming for both novice and skilled developers
SEA LION [Busoniu et al., 2013]
• first environment offering debugging for non-ground programs• unique tools for model-based engineering (ER diagrams), testing via
annotations, and bi-directional visualization of interpretations.
ASPIDE [Febbraro et al., 2011]
• comprehensive framework integrating several tools for advancedprogram composition and execution.
• test-driven software development in the style of JUnit, e.g.
dependency graph visualizer, designed to inspect predicatedependencies and browsing the program;debugger [Dodaro et al., 2015],DLV profiler,ARVis comparator of answer sets,answer set visualizer IDPDraw.data source plugin for JDBC connectivity
T. Eiter / TU Wien VTSA 2016 08-09/2013 11/32
ASP & Extensions / Unit 4 4. Application Development Tools 4.1 ASP Integrated Development Environments (IDEs)
ASP Development Environments /2
https://www.mat.unical.it/ricca/downloads/rr2013-tutorial.pdf
ASPIDE is extensible [Febbraro et al., 2012]user can provide new plugins:• new input formats• new program rewritings• customizing the visualization/output format of solver results
more information: See RR 2013 tutorial https://www.mat.unical.it/ricca/downloads/rr2013-tutorial.pdf
Big issue (still): debugging
T. Eiter / TU Wien VTSA 2016 08-09/2013 12/32
ASP & Extensions / Unit 4 4. Application Development Tools 4.2 Frontends
Frontends
One shot usage: ad hoc encodings
For generic problems in Knowledge Representation and Reasoning,frontends have been devloped
E.g. dlv built-in frontends
• diagnosis [E_ et al., 1998]
• knowledge-based planning [E_ et al., 2001]
• inheritance [Buccafurri et al., 2002]
Furthermore, extensions to ease specific applications (e.g.,inconsistency management)
T. Eiter / TU Wien VTSA 2016 08-09/2013 13/32
ASP & Extensions / Unit 4 5. Selected Problems 5.1 Inconsistency Management
Inconsistency Management
Dealing with inconsistency, in particular with lack of answer sets
loves(P,C)← parent(P,C), not ¬loves(P,C). (1)
parent(mary, john). (2)
cares(P,C)← loves(P,C). (3)
¬cares(mary, john). (4)
cares(mary, john) is entailed
adding ¬cares(mary, john): no answer set!
intuitively, (1) should be blocked, thus ¬loves(mary, john) true
Consistency-Restoral (CR) Prolog [Balduccini and Gelfond, 2003]
¬loves(P,C)+← parent(P,C) (5)
• allow to conclude ¬loves(P,C) if parent(P,C) is believed• apply only if program has no answer set, and parsimoniously
T. Eiter / TU Wien VTSA 2016 08-09/2013 14/32
ASP & Extensions / Unit 4 5. Selected Problems 5.1 Inconsistency Management
Inconsistency Management
Dealing with inconsistency, in particular with lack of answer sets
loves(P,C)← parent(P,C), not ¬loves(P,C). (1)
parent(mary, john). (2)
cares(P,C)← loves(P,C). (3)
¬cares(mary, john). (4)
cares(mary, john) is entailed
adding ¬cares(mary, john): no answer set!
intuitively, (1) should be blocked, thus ¬loves(mary, john) true
Consistency-Restoral (CR) Prolog [Balduccini and Gelfond, 2003]
¬loves(P,C)+← parent(P,C) (5)
• allow to conclude ¬loves(P,C) if parent(P,C) is believed• apply only if program has no answer set, and parsimoniously
T. Eiter / TU Wien VTSA 2016 08-09/2013 14/32
ASP & Extensions / Unit 4 5. Selected Problems 5.1 Inconsistency Management
Inconsistency Management /2
Practical ASP usage:
Consistent Query Answering in Database Integration (INFOMIX)[Leone et al., 2005]
• EU Project, semantic repair in DB integration settings
DLVCleaner for automatic correction of anomalies in medicalknowledge bases cf. [Leone and Ricca, 2015]
• regional cancer database (Italy)
T. Eiter / TU Wien VTSA 2016 08-09/2013 15/32
ASP & Extensions / Unit 4 5. Selected Problems 5.2 Reasoning about Actions
Reasoning about Actions
Reasoning about the effects of actions is an important AI problemASP is well-versed to address the Frame Problem:
If an action α is taken, which properties of objects remainunaffected.
E.g.∀x, y, t. at(x, joe, t) ∧ walks(joe, x, y, t)→ at(y, joe, t + 1)
• Given carries(joe,wallet, t) we expect to conclude has(joe,wallet, t)• elegant frame rule expressing inertia
carries(joe,wallet, t + 1)← carries(joe,wallet, t),not¬carries(joe,wallet, t + 1).
note: requires non-monotonic behavior!
Led to dedicated action languages [Gelfond and Lifschitz, 1998]hiding details, which are often translated to ASP
T. Eiter / TU Wien VTSA 2016 08-09/2013 16/32
ASP & Extensions / Unit 4 5. Selected Problems 5.2 Reasoning about Actions
ACTHEX
Motivation
• reasoning about actions and planning• declarative action languages from KRR
dlv front-end: static, no dynamic interaction
ACTHEX: [Basol et al., 2010], [Fink et al., 2013]
• ASP based language, with access to external sources• express execution order of actions via action atoms
#robot[goto, charger]{b, 1}← &sensor[bat](low);
#robot[clean, kitchen]{c, 2}← night;
#robot[clean, bedroom]{c, 2}← day;
night ∨ day.
charging precedes cleaning; b (c) selects inference strength• preferences, costs are optional
T. Eiter / TU Wien VTSA 2016 08-09/2013 17/32
ASP & Extensions / Unit 4 5. Selected Problems 5.2 Reasoning about Actions
ACTHEX /2
Evaluation• evaluate ACTHEX program in an observe-eval-act cycle
action
findout(2)
actionsactuators
sensors
(1)
(3)
agent
environment
percepts
• action findout: actions from a computed answer set, that are derivedin this (b) resp. all (c) answer sets
• Arrange actions into an execution schedule
Realization• on top of HEX programs, using designated external atoms• implemented as an extension of dlvhex, called ActionPluginhttp://www.kr.tuwien.ac.at/research/systems/dlvhex/https://github.com/hexhex/core
T. Eiter / TU Wien VTSA 2016 08-09/2013 18/32
ASP & Extensions / Unit 4 5. Selected Problems 5.2 Reasoning about Actions
ACTHEX /3
Modules customizable by the users• Addons (existing: Robot, KBMod, BoolMatrix, SmartRobot, . . . )• Environment• BestModelSelector• Execution Schedule Builder• Iterator
Applications e.g.• declarative management policies (knowledge base updates)• production rule systems• logic-based agent programs
Further / ongoing work• framework improvements• system improvements• reasoning about agent behavior
⇒ policy verification [Saribatur and Eiter, 2016]: does the agentprogram work?
T. Eiter / TU Wien VTSA 2016 08-09/2013 19/32
ASP & Extensions / Unit 4 5. Selected Problems 5.2 Reasoning about Actions
Hybrid Reasoning
Need for mixing of
• high level reasoning (planning, hypothetical reasoning, diagnosis)
• low level computations (action / motion feasibility)
external atoms (dlvhex, clingo) allow to embed results of externalcomputations into ASP programs (outsource computations)
E.g.: multiple robots rearranging objects on a cluttered table [Havuret al., 2014]
• need high-level motion planning• low-level feasibility checks (no collision, object reachable etc)
Similar in gaming (AngryHex) [Calimeri et al., 2016a]
T. Eiter / TU Wien VTSA 2016 08-09/2013 20/32
ASP & Extensions / Unit 4 5. Selected Problems 5.3 AngryHex
AngryHex
Joint activity between University of Calabria (UNICAL) and TU Wien(KBS)
Pick up the Angry Birds Competition Challengehttps://aibirds.org/
Approach: design an agent based ondeclarative logic programming
Challenge: plan optimal shots underconsideration of some physics
Means: HEX-programs
⇒ AngryHex [Calimeri et al., 2016a]
T. Eiter / TU Wien VTSA 2016 08-09/2013 21/32
ASP & Extensions / Unit 4 5. Selected Problems 5.3 AngryHex
Anry Birds – Game Setup
Video game developed by Rovio Entertainment Ltd.Browser Game (Chrome Plug-in)Client/Server architecture (API)• obtain current scores (of levels)• select levels• Prompt certain shots
T. Eiter / TU Wien VTSA 2016 08-09/2013 22/32
ASP & Extensions / Unit 4 5. Selected Problems 5.3 AngryHex
External atoms
Use external atoms to outsource computations
• &distance[O1,O2](D) is true iffdistance between O1 and O2 is D
• &canpush[ngobject](O1,O2) is true iffO1 can push O2 given additional infoin the extension of ngobject
O1 O2
D
O2
O1
Rule to estimate the likelihood that object O2 falls when O1 is hit
Rule1 : pushDamage(O2,P1,P)← pushDamage(O1, _,P1),P1 > 0
&canpush[ngobject](O1,O2),
pushability(O2,P2),P = P1 ∗ P2/100.
T. Eiter / TU Wien VTSA 2016 08-09/2013 23/32
ASP & Extensions / Unit 4 5. Selected Problems 5.3 AngryHex
AngryHex Architecture
Uses the provided framework (browser plugin, vision module, . . . )
Agent builds on tactics and strategy, both are realized declaratively
Tactics: reasoning about the next shot is done in a HEX-program P• Input: scene info from the vision module (facts of P)
• Output: desired target (models of P)
Strategy: next level to played is computed in an ASP program P′
• Input: info about the number of times levels were played, bestscores achieved, scores of our agent (facts of P′)
• Output: next optimal level to be played (models of P′)
T. Eiter / TU Wien VTSA 2016 08-09/2013 24/32
ASP & Extensions / Unit 4 5. Selected Problems 5.3 AngryHex
HEX Encoding for Tactics
Physics simulation results are accessed via external atoms:• decide which O′ intersect with trajectory of a bird after hitting O
• decide whether O1 falls whenever O2 falls . . .
Tactics in details:• Consider each shootable target
• Compute the estimated damage on each non-target object
• Rank the targets (=answer sets) using weak constraints
• Consider history: never play a level in the same way again!
T. Eiter / TU Wien VTSA 2016 08-09/2013 25/32
ASP & Extensions / Unit 4 5. Selected Problems 5.3 AngryHex
ASP Encoding for Strategy
Decides which level to play next based on info about:• number of times each level was played• best scores• our agent’s scores . . .
Strategy in details:• First play each level once
• Second play levels in which our scoremaximally differs from the best one
• Third play levels in which we played bestand the difference to the second best score is minimal
Results in AngryBird Competition:• quarter finals 2013, semi finals 2014, 2nd in 2015, quarter finals in
2016 (strategy error. . . )
T. Eiter / TU Wien VTSA 2016 08-09/2013 26/32
ASP & Extensions / Unit 4 5. Selected Problems 5.4 Route Planning
Route Planning on External Map
Route planning, with API to external transport map
Possible semantic enrichment: restaurants, shops, pharmacies, . . .
Map at data.wien.gv.at:• 158 subway, tram, city bus and rapid transit train lines• 1701 stations• used uniformly cost 1,2,3 for travel time, 10 for change+wait
Use HEX, with external atom:&path[s, d](a, b, c, l): returns the shortest direct connection (by Dijkstra’salgorithm) from s to d, represented as set edges (a, b) between stations aand b with costs c using line l.
T. Eiter / TU Wien VTSA 2016 08-09/2013 27/32
ASP & Extensions / Unit 4 5. Selected Problems 5.4 Route Planning
Route Planning on External Map /2
Example: journey from Wien Mitte to Taubstummengasse:
(Wien Mitte, Wien Mitte (U4), 10, change),
(Wien Mitte (U4), Stadtpark (U4), 1, U4),
(Stadtpark (U4), Karlsplatz (U4), 1, U4),
(Karlsplatz (U4), Karlsplatz (U1), 10, change),
(Karlsplatz (U1), Taubstummengasse ( U1), 1 , U1),
(Taubstummengasse (U1), Taubstummengasse, 10, change)
T. Eiter / TU Wien VTSA 2016 08-09/2013 28/32
ASP & Extensions / Unit 4 5. Selected Problems 5.4 Route Planning
Route Planning on External Map /3
Problems• Single Route Planning (SRP):
plan to visit a number of locationsgo for lunch in a restaurant if tour length ≥ 300.
• Pair Route Planning (PRP):individual plans for two persons that want to do see some sightstours intersect somehwere (meeting locations drawn randomly)meet in a restaurant, if at least one of the tour lengths is ≥ 300
Implementation• guess and check (and define)• lunch constraint is difficult: tour depends on the individual locations
which depend on the tour⇒ cycle over &path needed• check tour length using an external atom &longerThan[path](limit)
T. Eiter / TU Wien VTSA 2016 08-09/2013 29/32
ASP & Extensions / Unit 4 5. Selected Problems 5.4 Route Planning
Route Planning on External Map /4
Experiments:• SRP: visit n locations, n possible lunch places (random), ≤ 1.15 ∗ n
changes• PRP: as SR per person, and n possible (non-restaurant) meeting
places at random
Obervations:• importing the whole map apriori is merely impossible
• external source can compute only direct connections: interactionbetween hex-program and the external source needed (lunchconstraint)
• liberal safety enables to solve the task in the given time limit byimporting only the relevant part of the map during grounding.
More details: [E_ et al., 2016]
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ASP & Extensions / Unit 4 5. Selected Problems 5.4 Route Planning
Route Planning on External Map /5
Single Route planning (all transport; subways and trams; subways):
3 4 5 6 7
0
100
200
300 Wall Clock Time (strong safety)
Grounding Time (strong safety)
Wall Clock Time (liberal safety)
Grounding Time (liberal safety)
Solving Time (liberal safety)
3 4 5 6 7 8 9
0
100
200
300 Wall Clock Time (strong safety)
Grounding Time (strong safety)
Wall Clock Time (liberal safety)
Grounding Time (liberal safety)
Solving Time (liberal safety)
3 4 5 6 7 8 9
0
100
200
300 Wall Clock Time (strong safety)
Grounding Time (strong safety)
Wall Clock Time (liberal safety)
Grounding Time (liberal safety)
Solving Time (liberal safety)
Pair Route planning (all transport; subways and trams; subways):
1 2 3 4 5 6
0
100
200
300 Wall Clock Time (strong safety)
Grounding Time (strong safety)
Wall Clock Time (liberal safety)
Grounding Time (liberal safety)
Solving Time (liberal safety)
1 2 3 4 5 6
0
100
200
300 Wall Clock Time (strong safety)
Grounding Time (strong safety)
Wall Clock Time (liberal safety)
Grounding Time (liberal safety)
Solving Time (liberal safety)
1 2 3 4 5 6 7
0
100
200
300 Wall Clock Time (strong safety)
Grounding Time (strong safety)
Wall Clock Time (liberal safety)
Grounding Time (liberal safety)
Solving Time (liberal safety)
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ASP & Extensions / Unit 4 5. Selected Problems 5.4 Route Planning
Conclusion
ASP is a more recent declarative problem solving paradigm
A body of theoretical work
KR and non-monotonic reasoning features
Many extensions & solvers
Serves as a host formalism (good for prototyping)
A growing range of applications . . .
. . . and lots of things to do in theory and practice!
T. Eiter / TU Wien VTSA 2016 08-09/2013 32/32
References I
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References V
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References VI
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