STOC '87 Proceedings of the nineteenth annual ACM symposium on Theory of computing
Founding crytpography on oblivious transfer
STOC '88 Proceedings of the twentieth annual ACM symposium on Theory of computing
A zero-one law for Boolean privacy
STOC '89 Proceedings of the twenty-first annual ACM symposium on Theory of computing
A general completeness theorem for two party games
STOC '91 Proceedings of the twenty-third annual ACM symposium on Theory of computing
A Pseudorandom Generator from any One-way Function
SIAM Journal on Computing
More general completeness theorems for secure two-party computation
STOC '00 Proceedings of the thirty-second annual ACM symposium on Theory of computing
Reducibility and Completeness in Private Computations
SIAM Journal on Computing
Universally composable two-party and multi-party secure computation
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
Foundations of Cryptography: Basic Tools
Foundations of Cryptography: Basic Tools
The All-or-Nothing Nature of Two-Party Secure Computation
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
Universally Composable Commitments
CRYPTO '01 Proceedings of the 21st Annual International Cryptology Conference on Advances in Cryptology
Bit Commitment Using Pseudo-Randomness
CRYPTO '89 Proceedings of the 9th Annual International Cryptology Conference on Advances in Cryptology
A personal view of average-case complexity
SCT '95 Proceedings of the 10th Annual Structure in Complexity Theory Conference (SCT'95)
Universally Composable Security: A New Paradigm for Cryptographic Protocols
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
Foundations of Cryptography: Volume 2, Basic Applications
Foundations of Cryptography: Volume 2, Basic Applications
New notions of security
Zero knowledge with efficient provers
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
How to generate and exchange secrets
SFCS '86 Proceedings of the 27th Annual Symposium on Foundations of Computer Science
One-way functions are essential for complexity based cryptography
SFCS '89 Proceedings of the 30th Annual Symposium on Foundations of Computer Science
Privacy and communication complexity
SFCS '89 Proceedings of the 30th Annual Symposium on Foundations of Computer Science
Cryptographic Complexity of Multi-Party Computation Problems: Classifications and Separations
CRYPTO 2008 Proceedings of the 28th Annual conference on Cryptology: Advances in Cryptology
Founding Cryptography on Oblivious Transfer --- Efficiently
CRYPTO 2008 Proceedings of the 28th Annual conference on Cryptology: Advances in Cryptology
TCC '09 Proceedings of the 6th Theory of Cryptography Conference on Theory of Cryptography
On the limitations of universally composable two-party computation without set-up assumptions
EUROCRYPT'03 Proceedings of the 22nd international conference on Theory and applications of cryptographic techniques
On the necessary and sufficient assumptions for UC computation
TCC'10 Proceedings of the 7th international conference on Theory of Cryptography
Completeness theorems with constructive proofs for finite deterministic 2-party functions
TCC'11 Proceedings of the 8th conference on Theory of cryptography
Exploring the limits of common coins using frontier analysis of protocols
TCC'11 Proceedings of the 8th conference on Theory of cryptography
The limits of common coins: further results
INDOCRYPT'11 Proceedings of the 12th international conference on Cryptology in India
On the centrality of off-line e-cash to concrete partial information games
SCN'12 Proceedings of the 8th international conference on Security and Cryptography for Networks
A unified framework for UC from only OT
ASIACRYPT'12 Proceedings of the 18th international conference on The Theory and Application of Cryptology and Information Security
Characterizing the cryptographic properties of reactive 2-party functionalities
TCC'13 Proceedings of the 10th theory of cryptography conference on Theory of Cryptography
Feasibility and completeness of cryptographic tasks in the quantum world
TCC'13 Proceedings of the 10th theory of cryptography conference on Theory of Cryptography
Limits of random oracles in secure computation
Proceedings of the 5th conference on Innovations in theoretical computer science
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It is well-known that most cryptographic tasks do not have universally composable (UC) secure protocols, if no trusted setup is available in the framework. On the other hand, if a task like fair coin-tossing is available as a trusted setup, then all cryptographic tasks have UC-secure protocols. What other trusted setups allow UC-secure protocols for all tasks? More generally, given a particular setup, what tasks have UC-secure protocols? We show that, surprisingly, every trusted setup is either useless (equivalent to having no trusted setup) or all-powerful (allows UC-secure protocols for all tasks). There are no "intermediate" trusted setups in the UC framework. We prove this zero-one law under a natural intractability assumption, and consider the class of deterministic, finite, 2-party functionalities as candidate trusted setups. One important technical contribution in this work is to initiate the comprehensive study of the cryptographic properties of reactive functionalities. We model these functionalities as finite automata and develop an automata-theoretic methodology for classifying and studying their cryptographic properties. Consequently, we completely characterize the reactive behaviors that lead to cryptographic non-triviality. Another contribution of independent interest is to optimize the hardness assumption used by Canetti et al. (STOC 2002) in showing that the common random string functionality is complete (a result independently obtained by Damgård et al. (TCC 2010)).