probabilistic proof
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Philosophies ◽  
2021 ◽  
Vol 6 (4) ◽  
pp. 83
Author(s):  
Kristen Carlson

Methods are currently lacking to prove artificial general intelligence (AGI) safety. An AGI ‘hard takeoff’ is possible, in which first generation AGI1 rapidly triggers a succession of more powerful AGIn that differ dramatically in their computational capabilities (AGIn << AGIn+1). No proof exists that AGI will benefit humans or of a sound value-alignment method. Numerous paths toward human extinction or subjugation have been identified. We suggest that probabilistic proof methods are the fundamental paradigm for proving safety and value-alignment between disparately powerful autonomous agents. Interactive proof systems (IPS) describe mathematical communication protocols wherein a Verifier queries a computationally more powerful Prover and reduces the probability of the Prover deceiving the Verifier to any specified low probability (e.g., 2−100). IPS procedures can test AGI behavior control systems that incorporate hard-coded ethics or value-learning methods. Mapping the axioms and transformation rules of a behavior control system to a finite set of prime numbers allows validation of ‘safe’ behavior via IPS number-theoretic methods. Many other representations are needed for proving various AGI properties. Multi-prover IPS, program-checking IPS, and probabilistically checkable proofs further extend the paradigm. In toto, IPS provides a way to reduce AGIn ↔ AGIn+1 interaction hazards to an acceptably low level.


Author(s):  
Kristen Carlson

Methods are currently lacking to prove artificial general intelligence (AGI) safety. An AGI &lsquo;hard takeoff&rsquo; is possible, in which first generation AGI1 rapidly triggers a succession of more powerful AGIn that differ dramatically in their computational capabilities (AGIn≪AGIn+1). No proof exists that AGI will benefit humans or of a sound value-alignment method. Numerous paths toward human extinction or subjugation have been identified. We suggest that probabilistic proof methods are the fundamental paradigm for proving safety and value-alignment between disparately powerful autonomous agents. Interactive proof systems (IPS) describe mathematical communication protocols wherein a Verifier queries a computationally more powerful Prover and reduces the probability of the Prover deceiving the Verifier to any specified low probability (e.g., 2-100). IPS procedures can test AGI behavior control systems that incorporate hard-coded ethics or value-learning methods. Mapping the axioms and transformation rules of a behavior control system to a finite set of prime numbers allows validation of &lsquo;safe&rsquo; behavior via IPS number-theoretic methods. Many other representations are needed for proving various AGI properties. Multi-prover IPS, program-checking IPS, and probabilistically checkable proofs further extend the paradigm. In toto, IPS provides a way to reduce AGIn&harr;AGIn+1 interaction hazards to an acceptably low level.


Author(s):  
Daniel Reijsbergen ◽  
Pawel Szalachowski ◽  
Junming Ke ◽  
Zengpeng Li ◽  
Jianying Zhou
Keyword(s):  

Author(s):  
Francesco Manzo ◽  
Matteo Quattropani ◽  
Elisabetta Scoppola

2020 ◽  
Author(s):  
Diego Fernandes Gonçalves Martins ◽  
Marco Aurélio Amaral Henriques
Keyword(s):  

Este artigo apresenta o protocolo de consenso Probabilistic Proof-of-Stake (PPoS) e analisa o mesmo dos pontos de vista teórico e prático, focando na sua probabilidade de produzir forks. O texto primeiramente explica o funcionamento do algoritmo, onde é possível entender como um nó participa de um sorteio em rodadas a fim de ganhar o direito de criar um novo bloco para uma cadeia. Em seguida ele apresenta os critérios para aceitação e para confirmação de blocos, seguidos de uma análise da probabilidade de forks e do número esperado de rodadas entre dois blocos consecutivos. Uma blockchain baseada neste protocolo foi implementada e seus resultados práticos mostraram uma boa concordância com a análise teórica, validando a mesma.


2020 ◽  
Vol 34 (06) ◽  
pp. 10194-10201
Author(s):  
Negin Karimi ◽  
Petteri Kaski ◽  
Mikko Koivisto

We present a novel framework for parallel exact inference in graphical models. Our framework supports error-correction during inference and enables fast verification that the result of inference is correct, with probabilistic soundness. The computational complexity of inference essentially matches the cost of w-cutset conditioning, a known generalization of Pearl's classical loop-cutset conditioning for inference. Verifying the result for correctness can be done with as little as essentially the square root of the cost of inference. Our main technical contribution amounts to designing a low-degree polynomial extension of the cutset approach, and then reducing to a univariate polynomial employing techniques recently developed for noninteractive probabilistic proof systems.


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