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About a Proof ( TC+CON(〖TC〗^*)Ͱ(P≠NP)) Farzad Didehvar Amir Kabir University (Tehran Polytechnic) didehvar@aut.ac.ir
Abstract: In this talk, we introduce Theory of Fuzzy Time Computation (TC^*). We show this theory is as plausible as Theory of Computation (TC) in Modeling Physical world. As an advantage, we show TC^* is a better theory to consider for Complexity Theory problems respect to TC. More exactly, first we define the correspondent complexity classes in the new theory as P^*,〖 NP^*,BPP〗^*,〖 MA〗^*,AM^* [1],[3],[5],[6],[7]. In the novel Theory, We prove P^*=BPP^*, 〖 MA〗^*=AM^* [3]. As the major result of this talk, we show TC+CON(TC^* )Ͱ(P≠NP) [4]. We try to explain the details of the proof. We provide a reason to show CON(TC^* ) is plausible in the real world. To do that, we introduce a novel interpretation of Quantum Mechanics (Fuzzy time-Particle interpretation of Quantum Mechanics) [2]. In addition to the above, some Mathematician and Philosophers like Brouwer and Husserl believed some ideas similar to the Fuzziness of Time [8]. Keywords: TC^*, scope_ ^*, P≠NP, P^*≠NP^*, Fuzzy time
Refrences: 1. L.Babai “TRADING Group Theory for Randomness”, STOC’85: Proceedings of the seventeenth annual ACM symposium on Theory of Computing, ACM, pp.421-429, 1985 2. F.Didehvar, Computing Fuzzy Time Function, SSRN, 2022 3. F.Didehvar, Theory of Fuzzy Time Computation 〖(TC〗^*), HAL (Id: hal-03962654), 2023 4. F.Didehvar, Theory of Fuzzy Time Computation (2), SSRN,2023 5. O.Goldreich, In a world of P=BPP 6. O.Goldreich, Studies in Complexity and Cryptography: Miscellanea on the interplay between Randomness and Computation , Vol 6650 of Lecture Notes in Computer Science, Springer 2011, P 43. 7. S.Goldwasser; M.Sipser “Private coins versus public coins in interactive proof systems”, STOC’86: Proceedings of the eighteenth annual ACM symposium on Theory of Computing, ACM, PP.59-68, 1986 8. Van Aten M, On Brouwer, Wadsworth Philosopher’s Series, 2004
About a Proof ( TC+CON(〖TC〗^*)Ͱ(P≠NP)) Farzad Didehvar Amir Kabir University (Tehran Polytechnic) didehvar@aut.ac.ir
Abstract: In this talk, we introduce Theory of Fuzzy Time Computation (TC^*). We show this theory is as plausible as Theory of Computation (TC) in Modeling Physical world. As an advantage, we show TC^* is a better theory to consider for Complexity Theory problems respect to TC. More exactly, first we define the correspondent complexity classes in the new theory as P^*,〖 NP^*,BPP〗^*,〖 MA〗^*,AM^* [1],[3],[5],[6],[7]. In the novel Theory, We prove P^*=BPP^*, 〖 MA〗^*=AM^* [3]. As the major result of this talk, we show TC+CON(TC^* )Ͱ(P≠NP) [4]. We try to explain the details of the proof. We provide a reason to show CON(TC^* ) is plausible in the real world. To do that, we introduce a novel interpretation of Quantum Mechanics (Fuzzy time-Particle interpretation of Quantum Mechanics) [2]. In addition to the above, some Mathematician and Philosophers like Brouwer and Husserl believed some ideas similar to the Fuzziness of Time [8]. Keywords: TC^*, scope_ ^*, P≠NP, P^*≠NP^*, Fuzzy time
Refrences: 1. L.Babai “TRADING Group Theory for Randomness”, STOC’85: Proceedings of the seventeenth annual ACM symposium on Theory of Computing, ACM, pp.421-429, 1985 2. F.Didehvar, Computing Fuzzy Time Function, SSRN, 2022 3. F.Didehvar, Theory of Fuzzy Time Computation 〖(TC〗^*), HAL (Id: hal-03962654), 2023 4. F.Didehvar, Theory of Fuzzy Time Computation (2), SSRN,2023 5. O.Goldreich, In a world of P=BPP 6. O.Goldreich, Studies in Complexity and Cryptography: Miscellanea on the interplay between Randomness and Computation , Vol 6650 of Lecture Notes in Computer Science, Springer 2011, P 43. 7. S.Goldwasser; M.Sipser “Private coins versus public coins in interactive proof systems”, STOC’86: Proceedings of the eighteenth annual ACM symposium on Theory of Computing, ACM, PP.59-68, 1986 8. Van Aten M, On Brouwer, Wadsworth Philosopher’s Series, 2004
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