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The Scientific Community Game: Education and
Innovation Through Survival in a Virtual World of Claims
The Scientific Community Game: Education and
Innovation Through Survival in a Virtual World of Claims
Karl LieberherrNortheastern University
College of Computer and Information ScienceBoston, MA
joint work with Ahmed Abdelmeged and Bryan Chadwick
Karl LieberherrNortheastern University
College of Computer and Information ScienceBoston, MA
joint work with Ahmed Abdelmeged and Bryan Chadwick
Supported by Novartis
Why Scientific Community Game(SCG)
• … motives in academic publishing: – desire for recognition and respect from the people
one regards as peers, – desire to have impact (on conclusions being
reached, on the development of the discipline, etc.), and
– desire to participate in significant knowledge-building discourse.
• e.g., Scardamalia, M., & Bereiter, C. (1994)
Intro SCG 2
SCG is Bio-inspired
• Virtual world of scholars based on natural selection– propose, oppose (refute and strengthen) claims– maximize reputation, weak scholars are removed.
• Turn problem-solving software into virtual organisms that fend for themselves and survive in a virtual world inhabited by virtual organisms created by your peers.
Intro SCG 3
SCG is a web-based implementation of Karl Popper’s science ideas
• One of the greatest philosophers of science of the 20th century.
• Falsifiability or refutability is the logical possibility that an assertion could be shown false by a particular observation or physical experiment.
• Error elimination (refutation), performs a similar function for science that natural selection performs for biological evolution.
Intro SCG 4from Wikipedia
Comparison
• Karl Popper: Conjectures and Refutations• Scientific Community Game: Claims and
Refutations
Intro SCG 5
Recognition in SCG
• Scholars build their reputation by proposing and opposing claims, by defending their own claims and refuting or strengthening the claims of others.
• The higher their reputation, the more recognition.
Intro SCG 6
Impact in SCG
• Second-order environment– what one scholar does in adapting, changes the
environment so that others must readapt.
• Developing novel techniques to find superior solutions, challenges others to catch up.
Intro SCG 7
Knowledge-Building Discourse in SCG
• Communication or debate.• Refutation protocol defines the structure of
the debate and who wins. Claims are defined through a refutation protocol.
• Knowledge-building:– claims that have been defended predominantly
are candidates for truth– claims that have been refuted predominantly are
probably false.Intro SCG 8
Goals of SCG
• Put knowledge-building discourse on the web giving participants the option to gain recognition and to have impact.
• Focus the discourse through precise definition of claims with refutation protocols.
• Make knowledge building discourse fun and educational from the high school to the advanced research level.
Intro SCG 9
SCG = Scientific Community Game = Specker Challenge Game
What do we mean by science?
• Science consists of the formulation and testing of hypotheses based on observational evidence.
• Ours: Science consists of the formulation and testing of constructive claims based on observational evidence. Construction is computable.
Intro SCG 10
What do we mean by Scientific Method
• Hypothetico-deductive method: Formulate a hypothesis in a form that could conceivably be falsified by a test on observable data.
• Ours: Formulate a constructive claim in a form that could conceivably be falsified by a test using a protocol. The refutation protocol is part of the claim to make very explicit when refutation is successful.
Intro SCG 11
SCG claim examples
• SCG Claim– AlgorithmicClaim
• solve problems of kind D with quality q and resource r• have polynomial time algorithm to solve problems of kind D
with quality q
– MathematicalClaim• for all x in X exists y in Y: predicate(x,y)
– SoftwareClaim• solve problems of kind D with maintainability m• you cannot break into a system of kind D using resource r
SCG claim examples
– FinancialClaim• if you pay me k dollars (option premium) today, I will
promise to buy q shares of stock S up to day d at price p (strike price). Purpose: insurance.
– ExperimentalClaim• If I am given raw materials x in X, I can produce product
y in Y of quality q and using resources at most r.
Intro SCG 14
Tartaglia against Fior1535
Tartaglia was famed for his algebraic solution of cubic equations which was published in Cardan's Ars Magna.
Outline
• Introduction– Popper Science, Renaissance History: Tartaglia and Fior
• Definition of SCG– Example (Highest safe rung)
• Applications: Teaching, Software Development, Research• Claims with secrets and other protocol variants• Output of SCG, Equilibrium• Advantages and Disadvantages• Conclusions
Intro SCG 15
Definition of SCG: Domain
• Problem: Set• Solution: Set• valid: relation(Problem, Solution)• quality: function(Problem, Solution)->[0..1]
16Intro SCG
Claim(Domain)
• Problems: Powerset(Domain.Problem)• q: Quality = [0,1]• r: Resource = N+ = positive integer
Alice claims to have a technique to solve problems in Problemswith at least quality q and using at most resources r.
17Intro SCG
makes predictionsabout the future
Implied Protocol of Claim(Domain)
• Alice claims (problems,q,r), Bob refutes• Bob provides problem prob in Claim.Problems. • Alice solves problem prob providing sol in
Domain.Solution.• check: valid(prob,sol) and quality(prob,sol)>=q and
sol.resource<=r.• sol.resource returns Alice’ resource consumption to
solve problem prob.
18Intro SCG
Karl Popper: Only hypotheses capable of clashing with observation reports are allowed to count as scientific.
Claim
• Problems: subset of problems• quality in [0,1]
Intro SCG 19
0
1
quality(how wellproblems inProblems can be solved)
Bio-inspired computing: Virtual World of SCG-Avatar
• SCG-Avatar (Claim(Domain))– State: Reputation = positive rational number– Activity
• propose new claims• oppose claims of others
– refute claim(Problems, q, r)– strengthen claim(Problems, q’, r’), q’>q or r’<r
• Reputation gain: refute others’ claims and defend own claims (counter refutation attempts)
• Reputation loss: unsuccessful refutation of other’s claim and refutation of own claims
21Intro SCG
Summary of SCG Definitions
Domain Problem Solution valid(Problem, Solution) quality(Problem, Solution) →[0,1]
23Intro SCG
Claim(Domain) Problems: PowerSet(Domain.Problem) q: Quality = [0,1] r: Resource = N+
Rules of the Scientific Community: propose and oppose,be an active scholar, rules for reputation accumulation.
Tournaments
Highest Safe Rung
• You are doing stress-testing on various models of glass jars to determine the height from which they can be dropped and still not break. The setup for this experiment, on a particular type of jar, is as follows.
Intro SCG 24
Highest Safe Rung
Only two identical bottles to determinehighest safe rung
Alice Bob
25Intro SCG
You have a ladder with n rungs, and you want to find the highest rung from which you can drop a copy of the jar and not have it break. We call this the highest safe rung. You have a fixed ``budget'' of k > 0 jars.
Highest Safe Rung
Only two identical bottles to determinehighest safe rung
HSR(9,2) ≤ 4 I doubt it: refutation attempt!
Alice Bob
Alice constructsdecision tree T ofdepth 4 and gives itto Bob. He checkswhether T is valid.Bob wins if he findsa flaw.
26Intro SCG
3
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Highest Safe Rung Decision TreeHSR(9,2)=5
27Intro SCG
Formal: HSR
• Domain: – Problem: (n,k), k <= n.– Solution: Decision tree to determine highest safe
rung.– quality(problem, solution): depth of decision tree /
number of rungs– valid(problem, solution): at most k left branches, ...
28Intro SCG
Formal: HSR
• Claim(Domain): – Alice claims ({(25,2)},9/25,5 seconds)
• {(25,2)}: set of problems (singleton)• 9/25: quality• 5 seconds: resource
• Refutation Protocol:– Bob refutes: only one problem: (25,2)– Alice: solves problem by providing decision tree t.– predicate: t is a valid decision tree for (25,2) of depth 9
Intro SCG 29
Overview
• Showing Scientific Community game in action as a board game.
• Want to play the game in class.
04/18/23 SCG(HSR) 31
Highest Safe Rung
• You are doing stress-testing on various models of glass jars to determine the height from which they can be dropped and still not break. The setup for this experiment, on a particular type of jar, is as follows.
SCG(HSR) 3204/18/23
Highest Safe Rung
Only two identical bottles to determinehighest safe rung (k=2)
Alice Bob
33SCG(HSR)
You have a ladder with n rungs, and you want to find the highest rung from which you can drop a copy of the jar and not have it break. We call this the highest safe rung. You have a fixed ``budget'' of k > 0 jars.
04/18/23
Highest Safe Rung
Only two identical bottles to determinehighest safe rung
HSR(9,2) ≤ 4 I doubt it: refutation attempt!
Alice Bob
Alice constructsdecision tree T ofdepth 4 and gives itto Bob. He checkswhether T is valid.Bob wins if he findsa flaw.
34SCG(HSR)04/18/23
SCG Scenario
• Interactions between scholars Alice and Bob. Admin Nina gives grade to performance of Alice and Bob.
04/18/23 35SCG(HSR)
HSR(n,k) ≤ q
• There exists a valid decision tree DT-HSR(n,k) of depth q to solve HSR(n,k) so that for all ladders with n rungs and for all secret rungs s, the decision tree DT-HSR(n,k) correctly identifies s.
04/18/23 36SCG(HSR)
1
0
1 3
2
x
y z
yes no
u
highest safe rung
37
2 3
depth is 3
Linear Search: HSR(4,1)=4
04/18/23 SCG(HSR)
Pos. HSR Use Case: HSR(n,k) <= q
• Name: HSR• Participating actors: Alice, Bob and Nina.• Entry condition: n,k,q are given; k<=n, q<=n,
refuter defined: Bob.• Flow of events
04/18/23 39SCG(HSR)
Pos. HSR Use Case (continued)
• Flow of events– Alice claims HSR(n,k)<=q.– Bob tries to refute. Bob asks for
program/algorithm for (n,k) (ProvideProblem).– Alice provides program/algorithm (SolveProblem).– Bob/Nina check correctness of
program/algorithm.– Nina gives grade based on whether
program/algorithm is correct and of predicted quality.
04/18/23 40SCG(HSR)
Pos. HSR Use Case (continued)
• Exit condition: winner and loser are determined.
• Quality requirements: programming language, computational model: decision tree
04/18/23 41SCG(HSR)
Neg. HSR Use Case: HSR(n,k) > q
• Name: HSR-neg• Participating actors: Alice, Bob and Nina.• Entry condition: n,k,q are given; k<=n, q<=n,
refuter defined: Bob.• Flow of events
04/18/23 42SCG(HSR)
Neg. HSR Use Case (continued)
• Flow of events– Alice claims HSR(n,k)>q.– Bob tries to refute. Alice asks for program/algorithm
for (n,k) (ProvideProblem).– Bob provides program/algorithm (SolveProblem).– Alice/Nina check correctness of program/algorithm. If
depth of decision tree is <= q, refutation is successful.– Nina gives grade based on whether
program/algorithm is correct and of predicted quality.
04/18/23 43SCG(HSR)
Neg. HSR Use Case (continued)
• Exit condition: winner and loser are determined.
• Quality requirements: programming language, computational model: decision tree
04/18/23 44SCG(HSR)
Bob has the following claims
• HSR(4,1)<=4• HSR(9,2)<=4• HSR(9,2)<=3• HSR(8,3)<=3• HSR(4,2)<=2• HSR(11,2)<=4• HSR(12,2)<=4
Alice makes a decision for each claim:defendable/refutable (refute function)
defendable:Alice provides decision tree and Bob cannot finda bug.
refutable:Bob provides decision tree and Alice finds a bug.
To make the game more interesting:defendable claims are treated first
04/18/23 46SCG(HSR)
If defendable, can it be strengthened?
Play Game in class(abbreviated rules)
• Role Alice (1-3 students from class)• Role Bob (the rest of class)• Role Nina (3 students from class)• Alice chooses two claims: HSR(9,2)<=3,
HSR(11,2)<=4 that she thinks she can refute.• Now play!
Intro SCG 47
Bob has the following claims
• HSR(4,1)<=4• HSR(9,2)<=4• HSR(9,2)<=3• HSR(8,3)<=3• HSR(4,2)<=2• HSR(11,2)<=4• HSR(12,2)<=4
Alice makes a decision for each claim:defendable/refutable (refute function)
defendable:Alice provides decision tree and Bob cannot finda bug.
refutable:Bob provides decision tree and Alice finds a bug.
To make the game more interesting:defendable claims are treated first
04/18/23 49SCG(HSR)
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Highest Safe Rung Decision TreeHSR(9,2)=5
51SCG(HSR)04/18/23
Bob, Nina check: refutation by Bob successful. Alice loses.Alice: 2 points, Bob 10 points
How could Alice have won?
Principle of Algorithm Design
• Instead of focusing on what changes from level to level, focus on what stays the same.
• Find the invariant.
Initial Project Description
• http://www.ccs.neu.edu/home/lieber/courses/se-courses/cs5500/sp11/projects/problem-statement.html
04/18/23 SCG(HSR) 54
Outline
• Introduction– Popper Science, Renaissance History: Tartaglia and Fior
• Definition of SCG– Example (Highest safe rung)
• Applications: Teaching, Software Development, Research• Claims with secrets and other protocol variants• Output of SCG, Equilibrium• Advantages and Disadvantages• Conclusions
Intro SCG 55
Applications: Software Development
• Software Development• Teaching Constructive Domains
Intro SCG 56
Gamification of Software Development etc.
• Want reliable software to solve a computational problem? Design a game where the winning team will create the software you want.
• Want to teach a STEM domain? Design a game where the winning students demonstrate superior domain knowledge.
Intro SCG
Doesn’t TopCoder already do this?
STEM = Science, Technology, Engineering, and Mathematics
57
The Traditional Approach
Solver A
Static Benchmark
Solver B
Solver C
Team A
Team B
Team C
Parameterized by the domain.
Software: Solving HSR Problem:construct decision tree of min. depth
measure how closeto minimumHSR(9,2)=4
HSR(25,2)=7
Ranking
60Intro SCG
The Bio-Inspired Approach
Team ASolver A
prop-opp A
Team CSolver C
prop-opp C
Team BSolver B
prop-opp B
VirtualWorld
(Game)Ranking
Parameterized by the domain.
AvatarA
AvatarC
AvatarB
DynamicBenchmark
61Intro SCG
A Virtual WorldAvatar’s View
Administrator
Avatar
Opponents’ communication,Feedback
Claims,Problems,Solutions
Results
• Problems: Benchmark output• Solutions: Software output• Claims: statements about algorithms
62Intro SCG
What Scholars think about!
• If I propose claim C, what is the probability that– C is successfully refuted– C is successfully strengthened
• If I try to refute claim C, what is the probability that I will fail.
• If I try to strengthen claim C, what is the probability that I will fail?
63Intro SCG
SCG = Scientific Community Game
• Make software development more scientific.• Software developers build reputation
– propose and defend claims about their software– oppose claims made by others
• refute claims• strengthen claims
• claim includes refutation protocol
Intro SCG 64
Who are Alice and Bob?
• They are avatars developed by real Alice and real Bob.
• Alice and Bob compete with 10 other avatars in a full-round robin tournament.
• Who is the winner: The avatar with the highest reputation, i.e., the avatar who has the strongest, not successfully opposed claims (like in a real scientific community).
Intro SCG 65
Why a web application with avatars? Fair Evaluation.
What is SCG(X)
Intro SCG 66
no automationhuman plays
full automationavatar plays
degree of automation used by scholar
our focus
some automationhuman plays
0 1
more applications:test constructive knowledge
transfer to reliable, efficient software
avatar Bob
Alice
Real Scholars and Avatars:Same rules
• Are encouraged to 1. propose claims that are not easily strengthened.2. offer claims that they can successfully support.3. strengthen others’ claims, if possible. 4. stay active and propose new strong claims or
oppose others’ claims.5. become famous!
67Intro SCG
What we want
• Engage software developers– let them produce software that models an
organism that fends for itself in a real virtual world while producing the software we want. Have fun. Focus them.
– let them propose claims about the software they produce. Reward them when they
• defend their claims successfully or • oppose the claims of others successfully.
Intro SCG 68
Clear Feedback Sense of Progress
Possibility of Success
Authenticity (Facebook)
SCG
• Gamification of software development for computational problems
• A Sociotechnical System for knowledge dissemination, innovation, and integration
69Intro SCG
Software Engineering Properties fostered by SCG
• Reliable (otherwise the avatar is removed from the game)
• Flexible, modular (otherwise the avatar cannot be easily updated between tournaments)
• Efficient (otherwise you cannot defend your claims and oppose the claims of others)
Intro SCG 71
Adaptive and Aspect-Oriented Software is relevant!
State of SCG-Avatar: Our Vision
• Companies come to SCG website and define a competition by defining a claim domain X.
• Participating teams get baby avatars generated from X that participate in daily competitions.
• Competition generates a wealth of information: educated employees, good (undefeated) software, good algorithms, good potential employees. Reward is paid to the winner.
Intro SCG 72
State of SCG-Avatar: Our Vision
• Not only companies but faculty members who want to give their students a rich learning experience for computational problem X.
• Or editors of special issues in journals who want to use a competition to get a real world comparison of all approaches to solve computational problem X.
Intro SCG 73
Avatars propose and oppose
Intro SCG 74
CA1
CA2
CA3
CA4
egoisticAlice egoistic
Bob
reputation 1000 reputation 10
CB1
CB2
opposes (1)
provides problem (2)
solves problem
not as well as she expected based on CA2 (3)WINS!LOSES
proposed claims
transfer 200
social welfare
Life of an avatar: (propose+ oppose+ provide* solve*)*
What is SCG(X)?
TeamsDesign Problem Solver
Develop SoftwareDeliver Avatar
Avatar Alice Avatar Bob
Administrator SCG police
I am the best No!!
Let’s play constructively
75Intro SCG
TeamAlice
TeamBob
competitive / collaborative
Intro SCG 76
Avatar Alice: claim C
Avatar Bob: opposes C, refutes: providesevidence for !C
loses reputation r wins knowledge k
wins reputation r makes public knowledge k
Outline
• Introduction– Popper Science, Renaissance History: Tartaglia and Fior
• Definition of SCG– Example (Highest safe rung)
• Applications: Teaching, Software Development, Research• Claims with secrets and other protocol variants• Output of SCG, Equilibrium• Advantages and Disadvantages• Conclusions
Intro SCG 77
Protocol Variants
• secrets: approximation problems• involving trusted third party
– renaissance: exchange of problems
Intro SCG 78
Example: Triple HSR
• Alice claims ({(25,2,0), (25,2,1), (25,2,2), (25,2,3), … ,(25,2,25)},9/25, 5 seconds)
• Refutation Protocol:– Bob refutes (25,2,17)– Alice solves problems (25,2,*) by providing
decision tree to trusted third party which reveals path p from root to 17.
– predicate: p is valid and length(p) <= 9
79Intro SCG
Highest Safe Rung
Protocol Variation Secrets
• problem has public and private part, private part is a secret solution
• predicate has secret as argument
80Intro SCG
Protocol Variation Secret Program for SCG-Avatar
• problem has public and private part, private part is a secret solution and goes to administrator
• Alice gives her algorithm to administrator who applies it to public part of problem
• predicate has secret as argument
81Intro SCG
Example Claims involving secrets
• My algorithm can solve more problems using resources r than your algorithm using r.
• If I create problems for you for which I have a solution, you cannot recreate or approximate the solution with quality q using resources r.
82Intro SCG
Soundness Theorem
• SCG is sound: The avatar with the best algorithms / knowledge wins (there is no way to cheat)– best: within the group of participating avatars– issues:
• Does an avatar win because she is good at solving? Or good at proposing, opposing and providing? Answer: proposing, opposing and providing all reduce to solving.
Intro SCG 84
SCG Equilibrium
• reputations of scholars are stable• the ranking of the scholars is invariant from
tournament to tournament• the science does not progress; bugs are not
fixed, no new ideas are introduced• extreme example: All scholars are perfect:
they propose optimal claims C(ps,q) that can neither be strengthened nor refuted.
Intro SCG 85
• [Scientific Innovation in X] Avatars get skills programmed into them by clever scientists in domain X. Scientists use data mining to learn from competitions and manually improve the avatars.
• [Machine Learning Innovation in X] Avatars get skills programmed into them by an avatar caregiver programmed with learning skills and data mining skills for domain X. Avatar gets updated automatically.
Survival in SCG(X)
86Intro SCG
second-order environment!
Blame assignment
• Where is the proposer to blame?– Bad claim that is refuted.
– Bug in problem finding algorithm?
– Bug in problem solving algorithm?
87Intro SCG
How to use SCG(X)• Company AB needs new ideas about how to
solve optimization problems in domain X.• Define claims language for X
– X-problems– claims, includes protocol
• Submit claims language definition to SCG server.
88Intro SCG
How to use SCG(X)• Offer prize money for winner with conditions,
e.g., performance must be at least 10% higher as performance of avatar XY that AB provides.
• 10 teams from 6 countries sign up, committing to 6 competitions. Player executables become known to other players after each competition. One team from company AB.
• The SCG server sends them the basic avatar and the administrator for testing.
89Intro SCG
How to use SCG(X)
• Game histories known to all. Data mining!• First competition is at 23.59 on day 1.
Registration starts at 18.00 on same day. The competition lasts 2.5 hours.
• Repeat on days 7, 14, … 42.• The final winner is: Team Mumbai, winning
10000 Euro. Delivers source code and design document describing winning algorithm to AB.
90Intro SCG
Benefits for company AB of using SCG(X)
• Teams perform know-how retrieval and integration and maybe some research. – Participating teams try to find the best knowledge in
the area.– Claims language gives control!
• The non-refuted claims give hints about new X-specific knowledge.
• A well-tested solver for X-problems that integrates the current algorithmic knowledge in field X.
91Intro SCG
Outline
• Introduction– Popper Science, Renaissance History: Tartaglia and Fior
• Definition of SCG– Example (Highest safe rung)
• Applications: Teaching, Software Development, Research• Claims with secrets and other protocol variants• Output of SCG, Equilibrium• Advantages and Disadvantages• Conclusions
Intro SCG 92
Benefits/Disadvantages
• Benefits– competitive / collaborative– structured feedback, game history– Teaching– Research– Software Development
• Dynamic testing and evaluation
• Disadvantages– addictive
Intro SCG 93
Disadvantages of SCG
• The game is addictive. After Bob having spent 4 hours to fix his avatar and still losing against Alice, Bob really wants to know why!
• Overhead to learn to define and participate in competitions.
• The administrator for SCG(X) must perfectly supervise the game. Includes checking the legality of X-problems.– if admin does not, cheap play is possible– watching over the admin
94Intro SCG
How to compensatefor those disadvantages
• Warn the scholars.• Use a gentleman’s security policy: report
administrator problems, don’t exploit them to win.
• Occasionally have a non-counting “attack the administrator” competitions to find vulnerabilities in administrator.– both generic as well as X-specific vulnerabilities.
95Intro SCG
Benefits of SCG
• Social Welfare – Supported knowledge
• Claims are refuted and strengthened.• Better supported knowledge comes from better
algorithms and software.96Intro SCG
Advantage: Democratic
• Problem to be solved: Develop the best practical algorithms for solving computational problems in domain X.
• Issue: There are probably hundreds of papers on the topic with isolated implementations. What are the best practical algorithms?
• Our solution: Use the scientific community game SCG(X) with a suitably designed claims language to compare the software. The winning avatar has the best practical algorithms/software.
97Intro SCG
Experience with MAX-CSP
• MAX-CSP Problem Decompositions• T-Ball (one relation), Softball (several
relations, one implication tree), Baseball (several relations).
• ALL, SECRET
98Intro SCG
Stages for SECRET T-Ball
• MAXCUT – R(x,y)= x!=y– fair coin ½ – maximally biased coin ½ – semi-definite programming / eigenvalue
minimization 0.878
99Intro SCG
Stages for SECRET T-Ball
• One-in-three– R(x,y,z) = (x+y+z=1)– fair coin: 0.375– optimally biased coin: 0.444
100Intro SCG
Stages for ALL Baseball
• Propose/Oppose/Provide/Solve – based on fair coin– optimally biased coin
• correctly optimize polynomials
– correctly eliminate noise relations– correctly implement weights– …
101Intro SCG
References
• Karl Popper, Conjectures and Refutations, London: Routledge (1963).
• Scardamalia, M., & Bereiter, C. (1994). Computer support for knowledge-building communities. The Journal of the Learning Sciences, 3(3), 265-283.
• Renaissance: Tartaglia and Fior challenge (1535).
Intro SCG 102
Conclusions• To address a problem domain X:
– “map it to second life”: define a scientific community game for X on the web: SCG(X)
– let the game SCG(X) run a few times and choose the winner
• Benefits– Evaluates fairly, frequently, constructively and
dynamically. Encourages retrieval of state-of-the-art know-how, integration and discovery.
– Challenges humans, drives innovation, both competitive and collaborative.
– Avatars point humans to what needs attention in problem solution / software.
Intro SCG 103
Conclusions
• Broad applicability, e.g.,• SCG(X) provides a software process for
developing software for computational problems.
• Benefits– Social Engineering: makes it fun through game.– Fair: Only hard work makes you win.– Engage a large community on one domain X.
Intro SCG 104